julien, denyse (1998) an investigation into the...

Julien, Denyse (1998) An investigation into the effectiveness of statistical process control techniques, with management data from a product development environment. PhD thesis, University of Nottingham.

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An empirical investigation into the effectiveness of

statistical process control techniques, with management

data from a product development environment.

By Denyse Julien, MBA

Thesis submitted to the University of Nottingham

for the degree of Doctor of Philosophy, October 1998

Table of Contents Volume 2

Appendix 1

Product Development Process Flowchart ....................................................... 1

Appendix 2

Statview® Algorithms ...................................................................................... 5

Mean .............................................................................................................. 6

Variance ......................................................................................................... 6

Standard deviation ......................................................................................... 6

Kurtosis and Skewness ................................................................................ 6

Trimmed mean ............................................................................................... 6

T-test .............................................................................................................. 7

XmR Control chart formulas ......................................................................... 7

X chart ........................................................................................................ 7

MR chart .................................................................................................... 8

Appendix 3

Expondist Description ....................................................................................... 9

EXPONDIST FUNCTION .......................................................................... 10

Syntax .......................................................................................................... 10

Remarks ....................................................................................................... 10

Appendix 4

Exponential Lookup Table ............................................................................. 11

Appendix 5

Normality Tests ............................................................................................... 30

Appendix 6

Out of Control Signals Raw Data Tables ................................................... 43

l

Appendix 7

Out of Control Signals as a Percentage ...................................................... 48

Appendix 8

Complete set of Histograms for all Methods ............................................. 53

Appendix 9

Control Charts for the Default Method / Mean ......................................... 60

Beverage BU ................................................................................................ 60

Appendix 10

Control Charts for the Median Approach ................................................. 118

Bakery BU ................................................................................................. 118

Appendix 11

Control Charts for the 10% Trimmed Mean Approach .......................... 126

Confectionery BU ...................................................................................... 126

Appendix 12

Control Charts for the Resampled Data's Mean ...................................... 142

Dairy BU .................................................................................................... 142

Appendix 13

Control Charts for the 111000 Probability Limits .................................... 154

Beverage BU .............................................................................................. 154

Appendix 14

Control Charts for the Exponential Limits Approach .............................. 185

Confectionery BU ...................................................................................... 185

Appendix 15

Control Charts or the III 000 Resampled Probability Limits .................. 198

Dairy BU .................................................................................................... 198

II

Appendix 1

Product Development Process Flowchart

Project rejected

Database updated -

Project deleted

0--~

Project initiated SolicitedlProactivefDefense

New project entered into

system

Printout of new proj ects

Morning meeting

Flavourist assigned to

project

No

2

Additional info'sarrples

received

Project accepted-BUaction

Awlicatioo'Oeatiav CoIlectiavSelJS!X)'

Project active

Project nnmmg

Project leader

defined

Project accepted

joint action AwlicatioolOeatiav CoIlectialiSensay

Ye:;

Project prrling

received

Prqject activated

Project accepted-filial action

Awlicatioo'Oeatiali CoIlectialiSrusay

Project leader

defined

Prqject rejected

3

"New version of proj ect entered

into system

Work proceeds on

project

Work on Project

corrpleted

RecorITImdations, Flav. sarrples, applied sarrples, sensory study

shipped to client

Yes

for eva! uation

lliabase UJXlated Project lost

client abandoned, file closed

Oientco~to

Corrpmy for evaluation

Feedback given to laboratory

llitabase UJXlated Project won, file closed

Specifications forwarded to

Order processing and Manufacturing

4

Appendix 2

Statview® A1l:orithms

Mean

Ix x = , where n = count

n

Variance

2 I(X-~r s =

n-l

Standard deviation

Kurtosis and Skewness

Kurtosis = (m4/ m~) - 3

Skewness = m3/ (m2 ~ m2) , where

Trimmed mean

p% Trimmed Mean = (Xk+1 + ...... + Xn-J/n - 2k , where the Xs are

sorted from smallest to largest and k is chosen so that k observations represent

p% of the data.

6

T -test

~ = hypothesised mean difference, entered by user

t = (D - ~)/SE , where

N J = number of observations in group 1,

N2 = number of observations in group 2,

DF = N + N - 2 J 2

x) is the mean of the group 1 observations

x 2 is the mean of the group 2 observations

s) is the standard deviation of the group 1 observations

S2 is the standard deviation of the group 2 observations

Standard error (SE):

SE=

XmR Control chart formulas

X chart.

The centre line IS computed as c! fl, where fl IS the mean of all

measurements.

If the control limits are based on k-sigma, then

kO" UCL=c!+-

~ kO"

LCL=c!--~

7

If the control limits are based on alpha, then

cr VCL=cl+Za/ 2 L

-Vni

cr LCL=cl-Za/ 2 L

-Vni

MR chart

The centre line is computed as c1 = MR

If the control limits are based on k-sigma, then

LCL = cl- kcrd/rs)

If the control limits are based on alpha, then

VCL = D 1- a/ 2 (rs) cr

8

Appendix 3

Expondist Description

EXPONDIST FUNCTION

Returns the exponential distribution. Use EXPONDIST to model the time

between events, such as how long an automated bank teller takes to deliver

cash. For example, you can use EXPONDIST to determine the probability that

the process takes at most one minute.

Syntax

EXPONDIST(x, lambda, cumulative)

X is the value of the function.

Lambda is the parameter value.

Cumulative is a logical value that indicates which form of the exponential

function to provide. If cumulative is TRUE, EXPONDIST returns the

cumulative distribution function; if FALSE, it returns the probability density

function.

Remarks

If x or lambda is non-numenc, EXPONDIST -returns the #V ALUE! error

value.

Ifx < 0, EXPONDIST returns the #NUM! error value.

If lambda :s; 0, EXPONDIST returns the #NUM! error value.

The equation for the probability density function is:

I( x; A) = Ae-Ax

The equation for the cumulative distribution function is:

F( x; A) = 1 - e-AX

i Reproduced from Microsoft Excel Online Help.

10

Appendix 4

Exponential Lookup Table

Mean time 11 12 Lambda (llMean time) 0.09 0.08

Limits for Turnround time 0.02 0.0018 0.0017 0.04 0.0036 0.0033 0.06 0.0054 0.0050 0.08 0.0072 0.0066 0.10 0.0090 0.0083 0.12 0.0108 0.0100 0.14 0.0126 0.0116 0.16 0.0144 0.0132 0.18 0.0162 0.0149 0.20 0.0180 0.0165 0.22 0.0198 0.0182 0.24 0.0216 0.0198 0.26 0.0234 0.0214 0.28 0.0251 0.0231 0.30 0.0269 0.0247 0.32 0.0287 0.0263 0.34 0.0304 0.0279 0.36 0.0322 0.0296 0.38 0.0340 0.0312 0.40 0.0357 0.0328 0.42 0.0375 0.0344 0.44 0.0392 0.0360 0.58 0.0514 0.0472 51 0.9903 0.9857 56 0.9938 0.9906 60 0.9957 0.9933 65 0.9973 0.9956 69 0.9981 0.9968 70 0.9983 0.9971 75 0.9989 0.9981 76 0.9990 0.9982 79 0.9992 0.9986 81 0.9994 0.9988 83 0.9995 0.9990 87 0.9996 0.9993 88 0.9997 0.9993 90 0.9997 0.9994 93 0.9998 0.9996 97 0.9999 0.9997 102 0.9999 0.9998 104 0.9999 0.9998 106 0.9999 0.9999 111 1.0000 0.9999 112 1.0000 0.9999 116 1.0000 0.9999 118 1.0000 0.9999 120 1.0000 1.0000 124 1. 0000 1. 0000 125 1.0000 1.0000 129 1.0000 1.0000 13 1 1. 0000 1. 0000 132 1. 0000 1. 0000

13 14 0.08 0.07

0.0015 0.0014 0.0031 0.0029 0.0046 0.0043 0.0061 0.0057 0.0077 0.0071 0.0092 0.0085 0.0107 0.0100 0.0122 0.0114 0.0138 0.0128 0.0153 0.0142 0.0168 0.0156 0.0183 0.0170 0.0198 0.0184 0.0213 0.0198 0.0228 0.0212 0.0243 0.0226 0.0258 0.0240 0.0273 0.0254 0.0288 0.0268 0.0303 0.0282 0.0318 0.0296 0.0333 0.0309 0.0436 0.0406 0.9802 0.9738 0.9865 0.9817 0.9901 0.9862 0.9933 0.9904 0.9950 0.9928 0.9954 0.9933 0.9969 0.9953 0.9971 0.9956 0.9977 0.9965 0.9980 0.9969 0.9983 0.9973 0.9988 0.9980 0.9989 0.9981 0.9990 0.9984 0.9992 0.9987 0.9994 0.9990 0.9996 0.9993 0.9997 0.9994 0.9997 0.9995 0.9998 0.9996 0.9998 0.9997 0.9999 0.9997 0.9999 0.9998 0.9999 0.9998 0.9999 0.9999 0.9999 0.9999 1.0000 0.9999 1.0000 0.9999 1.0000 0.9999

15 17 0.07 0.06

0.0013 0.0012 0.0027 0.0024 0.0040 0.0035 0.0053 0.0047 0.0066 0.0059 0.0080 0.0070 0.0093 0.0082 0.0106 0.0094 0.0119 0.0105 0.0132 0.0117 0.0146 0.0129 0.0159 0.0140 0.0172 0.0152 0.0185 0.0163 0.0198 0.0175 0.0211 0.0186 0.0224 0.0198 0.0237 0.0210 0.0250 0.0221 0.0263 0.0233 0.0276 0.0244 0.0289 0.0256 0.0379 0.0335 0.9666 0.9502 0.9761 0.9629 0.9817 0.9707 0.9869 0.9781 0.9899 0.9827 0.9906 0.9837 0.9933 0.9879 0.9937 0.9886 0.9948 0.9904 0.9955 0.9915 0.9960 0.9924 0.9970 0.9940 0.9972 0.9944 0.9975 0.9950 0.9980 0.9958 0.9984 0.9967 0.9989 0.9975 0.9990 0.9978 0.9991 0.9980 0.9994 0.9985 0.9994 0.9986 0.9996 0.9989 0.9996 0.9990 0.9997 0.9991 0.9997 0.9993 0.9998 0.9994 0.9998 0.9995 0.9998 0.9995 0.9998 0.9996

12

Mean time 11 12 Lambda (llMean time) 0.09 0.08

Limits for Turnround time 134 1.0000 1.0000 13 7 1. 0000 1. 0000 139 1.0000 1.0000 143 1.0000 1.0000 146 1.0000 1.0000 148 1.0000 1.0000 149 1.0000 1.0000 152 1.0000 1.0000 155 1.0000 1.0000 157 1.0000 1.0000 159 1.0000 1.0000 162 1.0000 1.0000 166 1.0000 1.0000 168 1.0000 1.0000 171 1. 0000 1. 0000 173 1.0000 1.0000 17 4 1. 0000 1. 0000 175 1.0000 1.0000 180 1.0000 1.0000 185 1.0000 1.0000 187 1.0000 1.0000 189 1.0000 1.0000 193 1.0000 1.0000 194 1. 0000 1. 0000 199 1.0000 1.0000 201 1.0000 1.0000 203 1.0000 1.0000 205 1.0000 1.0000 208 1.0000 1.0000 212 1. 0000 1. 0000 215 1. 0000 1. 0000 218 1. 0000 1. 0000 222 1.0000 1.0000 224 1.0000 1.0000 228 1.0000 1.0000 230 1.0000 1.0000 235 1.0000 1.0000 237 1.0000 1.0000 242 1.0000 1.0000 243 1.0000 1.0000 249 1.0000 1.0000 255 1.0000 1.0000 256 1.0000 1.0000 262 1.0000 1.0000 263 1.0000 1.0000 268 1.0000 1.0000 270 1.0000 1.0000 274 1. 0000 1. 0000 277 1.0000 1.0000 284 1.0000 1.0000 291 1. 0000 1. 0000 298 1.0000 1.0000

13 14 15 17 0.08 0.07 0.07 0.06

1.0000 0.9999 0.9999 0.9996 1.0000 0.9999 0.9999 0.9997 1.0000 1.0000 0.9999 0.9997 1.0000 1.0000 0.9999 0.9998 1.0000 1.0000 0.9999 0.9998 1.0000 1.0000 0.9999 0.9998 1.0000 1.0000 1.0000 0.9998 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

13

Mean time 11 12 13 14 15 17 Lambda (l/Mean time) 0.09 0.08 0.08 0.07 0.07 0.06

Limits for Turnround time 304 1.0000 l.0000 1.0000 1.0000 l.0000 l.0000 355 1.0000 1.0000 1.0000 l.0000 l.0000 l.0000 394 1.0000 1.0000 1.0000 1.0000 1.0000 l.0000

14

Mean time 18 Lambda (l/Mean time) 0.06

Limits for Turnround time 0.02 0.0011 0.04 0.0022 0.06 0.0033 0.08 0.0044 0.10 0.0055 0.12 0.0066 0.14 0.0077 0.16 0.0088 0.18 0.0100 0.20 0.0110 0.22 0.0121 0.24 0.0132 0.26 0.0143 0.28 0.0154 0.30 0.0165 0.32 0.0176 0.34 0.0187 0.36 0.0198 0.38 0.0209 0.40 0.0220 0.42 0.0231 0.44 0.0241 0.58 0.0317 51 0.9412 56 0.9554 60 0.9643 65 0.9730 69 0.9784 70 0.9795 75 0.9845 76 0.9853 79 0.9876 81 0.9889 83 0.9901 87 0.9920 88 0.9925 90 0.9933 93 0.9943 97 0.9954 102 0.9965 104 0.9969 106 0.9972 111 0.9979 112 0.9980 116 0.9984 118 0.9986 120 0.9987 124 0.9990 125 0.9990 129 0.9992 131 0.9993 132 0.9993

19 0.05

0.0011 0.0021 0.0032 0.0042 0.0052 0.0063 0.0073 0.0084 0.0094 0.0105 0.0115 0.0126 0.0136 0.0146 0.0157 0.0167 0.0177 0.0188 0.0198 0.0208 0.0219 0.0229 0.0301 0.9317 0.9475 0.9575 0.9673 0.9735 0.9749 0.9807 0.9817 0.9844 0.9859 0.9873 0.9897 0.9903 0.9912 0.9925 0.9939 0.9953 0.9958 0.9962 0.9971 0.9972 0.9978 0.9980 0.9982 0.9985 0.9986 0.9989 0.9990 0.9990

20 0.05

0.0010 0.0020 0.0030 0.0040 0.0050 0.0060 0.0070 0.0080 0.0090 0.0100 0.0109 0.0119 0.0129 0.0139 0.0149 0.0159 0.0169 0.0178 0.0188 0.0198 0.0208 0.0218 0.0286 0.9219 0.9392 0.9502 0.9612 0.9683 0.9698 0.9765 0.9776 0.9807 0.9826 0.9842 0.9871 0.9877 0.9889 0.9904 0.9922 0.9939 0.9945 0.9950 0.9961 0.9963 0.9970 0.9973 0.9975 0.9980 0.9981 0.9984 0.9986 0.9986

21 0.05

0.0010 0.0019 0.0029 0.0038 0.0048 0.0057 0.0066 0.0076 0.0085 0.0095 0.0104 0.0114 0.0123 0.0132 0.0142 0.0151 0.0161 0.0170 0.0179 0.0189 0.0198 0.0207 0.0272 0.9118 0.9305 0.9426 0.9547 0.9626 0.9643 0.9719 0.9732 0.9768 0.9789 0.9808 0.9841 0.9849 0.9862 0.9881 0.9901 0.9922 0.9929 0.9936 0.9949 0.9952 0.9960 0.9964 0.9967 0.9973 0.9974 0.9979 0.9980 0.9981

22 23 0.05 0.04

0.0009 0.0009 0.0018 0.0017 0.0027 0.0026 0.0036 0.0035 0.0045 0.0043 0.0054 0.0052 0.0063 0.0061 0.0072 0.0069 0.0081 0.0078 0.0090 0.0087 0.0100 0.0095 0.0108 0.0104 0.0117 0.0112 0.0126 0.0121 0.0135 0.0130 0.0144 0.0138 0.0153 0.0147 0.0162 0.0155 0.0171 0.0164 0.0180 0.0172 0.0189 0.0181 0.0198 0.0189 0.0260 0.0249 0.9015 0.8911 0.9216 0.9124 0.9346 0.9264 0.9479 0.9408 0.9566 0.9502 0.9585 0.9523 0.9669 0.9616 0.9684 0.9633 0.9724 0.9678 0.9748 0.9705 0.9770 0.9729 0.9808 0.9772 0.9817 0.9782 0.9833 0.9800 0.9854 0.9825 0.9878 0.9853 0.9903 0.9881 0.9911 0.9891 0.9919 0.9900 0.9936 0.9920 0.9938 0.9923 0.9949 0.9935 0.9953 0.9941 0.9957 0.9946 0.9964 0.9954 0.9966 0.9956 0.9972 0.9963 0.9974 0.9966 0.9975 0.9968

15

Mean time 18 Lambda (llMean time) 0.06

Limits for Turnround time 134 0.9994 137 0.9995 139 0.9996 143 0.9996 146 0.9997 148 0.9997 149 0.9997 152 0.9998 155 0.9998 157 0.9998 159 0.9999 162 0.9999 166 0.9999 168 0.9999 171 0.9999 173 0.9999 174 0.9999 175 0.9999 180 1.0000 185 1.0000 187 1.0000 189 1.0000 193 1.0000 194 1.0000 199 1.0000 201 1.0000 203 1.0000 205 1.0000 208 1.0000 212 1.0000 215 1.0000 218 1.0000 222 1.0000 224 1.0000 228 1.0000 230 1.0000 235 1.0000

19 0.05

0.9991 0.9993 0.9993 0.9995 0.9995 0.9996 0.9996 0.9997 0.9997 0.9997 0.9998 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

20 21 22 23 0.05 0.05 0.05 0.04

0.9988 0.9983 0.9977 0.9971 0.9989 0.9985 0.9980 0.9974 0.9990 0.9987 0.9982 0.9976 0.9992 0.9989 0.9985 0.9980 0.9993 0.9990 0.9987 0.9982 0.9994 0.9991 0.9988 0.9984 0.9994 0.9992 0.9989 0.9985 0.9995 0.9993 0.9990 0.9987 0.9996 0.9994 0.9991 0.9988 0.9996 0.9994 0.9992 0.9989 0.9996 0.9995 0.9993 0.9990 0.9997 0.9996 0.9994 0.9991 0.9998 0.9996 0.9995 0.9993 0.9998 0.9997 0.9995 0.9993 0.9998 0.9997 0.9996 0.9994 0.9998 0.9997 0.9996 0.9995 0.9998 0.9997 0.9996 0.9995 0.9998 0.9998 0.9996 0.9995 0.9999 0.9998 0.9997 0.9996 0.9999 0.9999 0.9998 0.9997 0.9999 0.9999 0.9998 0.9997 0.9999 0.9999 0.9998 0.9997 0.9999 0.9999 0.9998 0.9998 0.9999 0.9999 0.9999 0.9998 1.0000 0.9999 0.9999 0.9998 1.0000 0.9999 0.9999 0.9998 1.0000 0.9999 0.9999 0.9999 1.0000 0.9999 0.9999 0.9999 1.0000 1.0000 0.9999 0.9999 1.0000 1.0000 0.9999 0.9999 1.0000 1.0000 0.9999 0.9999 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 0.9999 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

237 242 243 249 255 256 262 263 268 270 274 277 284 291 298

1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

16


Limits for Turnround time 304 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 355 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 394 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

17

Mean time 24 Lambda (lJM:ean time) 0.04


25 0.04

0.0008 0.0016 0.0024 0.0032 0.0040 0.0048 0.0056 0.0064 0.0072 0.0080 0.0088 0.0096 0.0103 0.0111 0.0119 0.0127 0.0135 0.0143 0.0151 0.0159 0.0167 0.0174 0.0229 0.8700 0.8935 0.9093 0.9257 0.9367 0.9392 0.9502 0.9522 0.9576 0.9608 0.9638 0.9692 0.9704 0.9727 0.9758 0.9793 0.9831 0.9844 0.9856 0.9882 0.9887 0.9903 0.9911 0.9918 0.9930 0.9933 0.9943 0.9947 0.9949

26 0.04

0.0008 0.0015 0.0023 0.0031 0.0038 0.0046 0.0054 0.0061 0.0069 0.0077 0.0084 0.0092 0.0100 0.0107 0.0115 0.0122 0.0130 0.0138 0.0145 0.0153 0.0160 0.0168 0.0221 0.8594 0.8840 0.9005 0.9179 0.9296 0.9323 0.9441 0.9462 0.9521 0.9556 0.9589 0.9648 0.9661 0.9686 0.9720 0.9760 0.9802 0.9817 0.9830 0.9860 0.9865 0.9885 0.9893 0.9901 0.9915 0.9918 0.9930 0.9935 0.9938

27 0.04

0.0007 0.0015 0.0022 0.0030 0.0037 0.0044 0.0052 0.0059 0.0066 0.0074 0.0081 0.0088 0.0096 0.0103 0.0110 0.0118 0.0125 0.0132 0.0140 0.0147 0.0154 0.0162 0.0213 0.8488 0.8743 0.8916 0.9100 0.9224 0.9252 0.9378 0.9401 0.9464 0.9502 0.9538 0.9601 0.9616 0.9643 0.9681 0.9725 0.9771 0.9788 0.9803 0.9836 0.9842 0.9864 0.9874 0.9883 0.9899 0.9902 0.9916 0.9922 0.9925

28 0.04

0.0007 0.0014 0.0021 0.0029 0.0036 0.0043 0.0050 0.0057 0.0064 0.0071 0.0078 0.0085 0.0092 0.0100 0.0107 0.0114 0.0121 0.0128 0.0135 0.0142 0.0149 0.0156 0.0205 0.8382 0.8647 0.8827 0.9019 0.9149 0.9179 0.9313 0.9337 0.9405 0.9446 0.9484 0.9553 0.9568 0.9598 0.9639 0.9687 0.9738 0.9756 0.9773 0.9810 0.9817 0.9841 0.9852 0.9862 0.9881 0.9885 0.9900 0.9907 0.9910

29 0.03

0.0007 0.0014 0.0021 0.0028 0.0034 0.0041 0.0048 0.0055 0.0062 0.0069 0.0076 0.0082 0.0089 0.0096 0.0103 0.0110 0.0117 0.0123 0.0130 0.0137 0.0144 0.0151 0.0198 0.8277 0.8550 0.8737 0.8937 0.9074 0.9105 0.9247 0.9272 0.9344 0.9388 0.9428 0.9502 0.9519 0.9551 0.9595 0.9647 0.9703 0.9723 0.9741 0.9782 0.9790 0.9817 0.9829 0.9840 0.9861 0.9866 0.9883 0.9891 0.9895

18


Limits for Turnround time 134 0.9962 137 0.9967 139 0.9969 143 0.9974 146 0.9977 148 0.9979 149 0.9980 152 0.9982 155 0.9984 157 0.9986 159 0.9987 162 0.9988 166 0.9990 168 0.9991 171 0.9992 173 0.9993 174 0.9993 175 0.9993 180 0.9994 185 0.9996 187 0.9996 189 0.9996 193 0.9997 194 0.9997 199 0.9997 201 0.9998 203 0.9998 205 0.9998 208 0.9998 212 0.9999 215 0.9999 218 0.9999 222 0.9999 224 0.9999 228 0.9999 230 0.9999 235 0.9999 237 0.9999 242 1.0000 243 1.0000 249 1.0000 255 1.0000 256 1.0000 262 1.0000 263 1.0000 268 1.0000 270 1.0000 274 1.0000 277 1.0000 284 1.0000 291 1.0000 298 1.0000

25 0.04

0.9953 0.9958 0.9962 0.9967 0.9971 0.9973 0.9974 0.9977 0.9980 0.9981 0.9983 0.9985 0.9987 0.9988 0.9989 0.9990 0.9991 0.9991 0.9993 0.9994 0.9994 0.9995 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9998 0.9998 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

26 0.04

0.9942 0.9949 0.9952 0.9959 0.9964 0.9966 0.9968 0.9971 0.9974 0.9976 0.9978 0.9980 0.9983 0.9984 0.9986 0.9987 0.9988 0.9988 0.9990 0.9992 0.9992 0.9993 0.9994 0.9994 0.9995 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9998 0.9998 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

27 0.04

0.9930 0.9937 0.9942 0.9950 0.9955 0.9958 0.9960 0.9964 0.9968 0.9970 0.9972 0.9975 0.9979 0.9980 0.9982 0.9984 0.9984 0.9985 0.9987 0.9989 0.9990 0.9991 0.9992 0.9992 0.9994 0.9994 0.9995 0.9995 0.9995 0.9996 0.9997 0.9997 0.9997 0.9998 0.9998 0.9998 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000

28 0.04

0.9917 0.9925 0.9930 0.9939 0.9946 0.9949 0.9951 0.9956 0.9961 0.9963 0.9966 0.9969 0.9973 0.9975 0.9978 0.9979 0.9980 0.9981 0.9984 0.9986 0.9987 0.9988 0.9990 0.9990 0.9992 0.9992 0.9993 0.9993 0.9994 0.9995 0.9995 0.9996 0.9996 0.9997 0.9997 0.9997 0.9998 0.9998 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 1.0000 1.0000

29 0.03

0.9902 0.9911 0.9917 0.9928 0.9935 0.9939 0.9941 0.9947 0.9952 0.9955 0.9958 0.9963 0.9967 0.9970 0.9973 0.9974 0.9975 0.9976 0.9980 0.9983 0.9984 0.9985 0.9987 0.9988 0.9990 0.9990 0.9991 0.9991 0.9992 0.9993 0.9994 0.9995 0.9995 0.9996 0.9996 0.9996 0.9997 0.9997 0.9998 0.9998 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 1.0000

19



20

Mean time 30 Lambda (l/Mean time) 0.03


31 32 33 34 35 0.03 0.03 0.03 0.03 0.03

0.0006 0.0006 0.0006 0.0006 0.0006 0.0013 0.0012 0.0012 0.0012 0.0011 0.0019 0.0019 0.0018 0.0018 0.0017 0.0026 0.0025 0.0024 0.0024 0.0023 0.0032 0.0031 0.0030 0.0029 0.0029 0.0039 0.0037 0.0036 0.0035 0.0034 0.0045 0.0044 0.0042 0.0041 0.0040 0.0051 0.0050 0.0048 0.0047 0.0046 0.0058 0.0056 0.0054 0.0053 0.0051 0.0064 0.0062 0.0060 0.0059 0.0057 0.0071 0.0069 0.0066 0.0064 0.0063 0.0077 0.0075 0.0072 0.0070 0.0068 0.0084 0.0081 0.0078 0.0076 0.0074 0.0090 0.0087 0.0084 0.0082 0.0080 0.0096 0.0093 0.0090 0.0088 0.0085 0.0103 0.0100 0.0097 0.0094 0.0091 0.0109 0.0106 0.0103 0.0100 0.0097 0.0115 0.0112 0.0108 0.0105 0.0102 0.0122 0.0118 0.0114 0.0111 0.0108 0.0128 0.0124 0.0120 0.0117 0.0114 0.0135 0.0130 0.0126 0.0123 0.0119 0.0141 0.0137 0.0132 0.0129 0.0125 0.0185 0.0180 0.0174 0.0169 0.0164 0.8070 0.7968 0.7868 0.7769 0.7671 0.8358 0.8262 0.8168 0.8074 0.7981 0.8556 0.8466 0.8377 0.8288 0.8199 0.8771 0.8688 0.8605 0.8522 0.8439 0.8920 0.8842 0.8764 0.8686 0.8607 0.8954 0.8878 0.8801 0.8724 0.8647 0.9110 0.9040 0.8970 0.8898 0.8827 0.9138 0.9070 0.9000 0.8930 0.8860 0.9218 0.9153 0.9087 0.9021 0.8954 0.9267 0.9204 0.9141 0.9077 0.9012 0.9313 0.9253 0.9191 0.9129 0.9067 0.9396 0.9340 0.9284 0.9226 0.9167 0.9415 0.9361 0.9305 0.9248 0.9191 0.9452 0.9399 0.9346 0.9291 0.9236 0.9502 0.9453 0.9403 0.9351 0.9299 0.9562 0.9517 0.9471 0.9423 0.9374 0.9628 0.9587 0.9545 0.9502 0.9458 0.9651 0.9612 0.9572 0.9531 0.9488 0.9673 0.9636 0.9597 0.9557 0.9516 0.9721 0.9688 0.9654 0.9618 0.9581 0.9730 0.9698 0.9664 0.9629 0.9592 0.9763 0.9734 0.9703 0.9670 0.9636 0.9778 0.9750 0.9720 0.9689 0.9657 0.9792 0.9765 0.9737 0.9707 0.9676 0.9817 0.9792 0.9767 0.9739 0.9711 0.9823 0.9799 0.9774 0.9747 0.9719 0.9844 0.9822 0.9799 0.9775 0.9749 0.9854 0.9833 0.9811 0.9788 0.9763 0.9859 0.9838 0.9817 0.9794 0.9770

21

Mean time 30 31 Lambda (l/Mean time) 0.03 0.03

Limits for Turnround time 134 0.9885 0.9867 137 0.9896 0.9880 139 0.9903 0.9887 143 0.9915 0.9901 146 0.9923 0.9910 148 0.9928 0.9916 149 0.9930 0.9918 152 0.9937 0.9926 155 0.9943 0.9933 157 0.9947 0.9937 159 0.9950 0.9941 162 0.9955 0.9946 166 0.9960 0.9953 168 0.9963 0.9956 171 0.9967 0.9960 173 0.9969 0.9962 174 0.9970 0.9963 175 0.9971 0.9965 180 0.9975 0.9970 185 0.9979 0.9974 187 0.9980 0.9976 189 0.9982 0.9977 193 0.9984 0.9980 194 0.9984 0.9981 199 0.9987 0.9984 201 0.9988 0.9985 203 0.9988 0.9986 205 0.9989 0.9987 208 0.9990 0.9988 212 0.9991 0.9989 215 0.9992 0.9990 218 0.9993 0.9991 222 0.9994 0.9992 224 0.9994 0.9993

32 0.03

0.9848 0.9862 0.9870 0.9885 0.9896 0.9902 0.9905 0.9913 0.9921 0.9926 0.9930 0.9937 0.9944 0.9948 0.9952 0.9955 0.9956 0.9958 0.9964 0.9969 0.9971 0.9973 0.9976 0.9977 0.9980 0.9981 0.9982 0.9983 0.9985 0.9987 0.9988 0.9989 0.9990 0.9991

33 34 35 0.03 0.03 0.03

0.9828 0.9806 0.9783 0.9843 0.9822 0.9800 0.9852 0.9832 0.9812 0.9869 0.9851 0.9832 0.9880 0.9864 0.9846 0.9887 0.9871 0.9854 0.9891 0.9875 0.9858 0.9900 0.9886 0.9870 0.9909 0.9895 0.9881 0.9914 0.9901 0.9887 0.9919 0.9907 0.9894 0.9926 0.9915 0.9902 0.9935 0.9924 0.9913 0.9938 0.9929 0.9918 0.9944 0.9935 0.9924 0.9947 0.9938 0.9929 0.9949 0.9940 0.9931 0.9950 0.9942 0.9933 0.9957 0.9950 0.9942 0.9963 0.9957 0.9949 0.9965 0.9959 0.9952 0.9967 0.9961 0.9955 0.9971 0.9966 0.9960 0.9972 0.9967 0.9961 0.9976 0.9971 0.9966 0.9977 0.9973 0.9968 0.9979 0.9974 0.9970 0.9980 0.9976 0.9971 0.9982 0.9978 0.9974 0.9984 0.9980 0.9977 0.9985 0.9982 0.9979 0.9986 0.9984 0.9980 0.9988 0.9985 0.9982 0.9989 0.9986 0.9983

228 230 235 237 242 243 249 255 256 262 263 268 270 274 277 284 291 298

0.9995 0.9994 0.9992 0.9990 0.9988 0.9985 0.9995 0.9994 0.9992 0.9991 0.9988 0.9986 0.9996 0.9995 0.9994 0.9992 0.9990 0.9988 0.9996 0.9995 0.9994 0.9992 0.9991 0.9989 0.9997 0.9996 0.9995 0.9993 0.9992 0.9990 0.9997 0.9996 0.9995 0.9994 0.9992 0.9990 0.9998 0.9997 0.9996 0.9998 0.9997 0.9997 0.9998 0.9997 0.9997 0.9998 0.9998 0.9997 0.9998 0.9998 0.9997 0.9999 0.9998 0.9998 0.9999 0.9998 0.9998 0.9999 0.9999 0.9998 0.9999 0.9999 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 0.9999 0.9999

0.9995 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9998 0.9998 0.9998 0.9999 0.9999

0.9993 0.9992 0.9994 0.9993 0.9995 0.9993 0.9995 0.9994 0.9996 0.9995 0.9996 0.9995 0.9996 0.9996 0.9997 0.9996 0.9997 0.9996 0.9998 0.9997 0.9998 0.9998 0.9998 0.9998

22



23

Mean time 36 Lambda (lfM:ean time) 0.03


37 0.03

0.0005 0.0011 0.0016 0.0022 0.0027 0.0032 0.0038 0.0043 0.0049 0.0054 0.0059 0.0065 0.0070 0.0075 0.0081 0.0086 0.0091 0.0097 0.0102 0.0108 0.0113 0.0118 0.0156 0.7480 0.7799 0.8024 0.8274 0.8451 0.8492 0.8683 0.8718 0.8818 0.8880 0.8939 0.9048 0.9073 0.9122 0.9190 0.9273 0.9365 0.9398 0.9430 0.9502 0.9515 0.9565 0.9588 0.9610 0.9650 0.9659 0.9694 0.9710 0.9718

38 39 40 41 0.03 0.03 0.03 0.02

0.0005 0.0005 0.0005 0.0005 0.0011 0.0010 0.0010 0.0010 0.0016 0.0015 0.0015 0.0015 0.0021 0.0020 0.0020 0.0019 0.0026 0.0026 0.0025 0.0024 0.0032 0.0031 0.0030 0.0029 0.0037 0.0036 0.0035 0.0034 0.0042 0.0041 0.0040 0.0039 0.0047 0.0046 0.0045 0.0044 0.0052 0.0051 0.0050 0.0049 0.0058 0.0056 0.0055 0.0054 0.0063 0.0061 0.0060 0.0058 0.0068 0.0066 0.0065 0.0063 0.0073 0.0072 0.0070 0.0068 0.0079 0.0077 0.0075 0.0073 0.0084 0.0082 0.0080 0.0078 0.0089 0.0087 0.0085 0.0083 0.0094 0.0092 0.0090 0.0087 0.0100 0.0097 0.0095 0.0092 0.0105 0.0102 0.0100 0.0097 0.0110 0.0107 0.0104 0.0102 0.0115 0.0112 0.0109 0.0107 0.0151 0.0148 0.0144 0.0140 0.7387 0.7296 0.7206 0.7117 0.7709 0.7621 0.7534 0.7448 0.7938 0.7853 0.7769 0.7686 0.8192 0.8111 0.8031 0.7951 0.8373 0.8295 0.8218 0.8142 0.8415 0.8339 0.8262 0.8186 0.8611 0.8538 0.8466 0.8395 0.8647 0.8575 0.8504 0.8433 0.8749 0.8681 0.8612 0.8544 0.8814 0.8747 0.8680 0.8613 0.8874 0.8809 0.8744 0.8679 0.8987 0.8926 0.8864 0.8802 0.9013 0.8953 0.8892 0.8831 0.9064 0.9005 0.8946 0.8887 0.9135 0.9079 0.9022 0.8965 0.9221 0.9169 0.9115 0.9061 0.9317 0.9269 0.9219 0.9169 0.9352 0.9305 0.9257 0.9209 0.9385 0.9340 0.9293 0.9246 0.9461 0.9419 0.9377 0.9333 0.9475 0.9434 0.9392 0.9349 0.9528 0.9489 0.9450 0.9409 0.9552 0.9515 0.9477 0.9438 0.9575 0.9539 0.9502 0.9464 0.9617 0.9584 0.9550 0.9514 0.9627 0.9594 0.9561 0.9526 0.9665 0.9634 0.9602 0.9570 0.9682 0.9652 0.9622 0.9590 0.9690 0.9661 0.9631 0.9600

24


Limits for Turnround time 134 0.9758 137 0.9778 139 0.9790 143 0.9812 146 0.9827 148 0.9836 149 0.9841 152 0.9853 155 0.9865 157 0.9872 159 0.9879 162 0.9889 166 0.9901 168 0.9906 171 0.9913 173 0.9918 174 0.9920 175 0.9923 180 0.9933 185 0.9941 187 0.9945 189 0.9948 193 0.9953 194 0.9954 199 0.9960 201 0.9962 203 0.9964 205 0.9966 208 0.9969 212 0.9972 215 0.9975 218 0.9977 222 0.9979 224 0.9980 228 0.9982 230 0.9983 235 0.9985 237 0.9986 242 0.9988 243 0.9988 249 0.9990 255 0.9992 256 0.9992 262 0.9993 263 0.9993 268 0.9994 270 0.9994 274 0.9995 277 0.9995 284 0.9996 291 0.9997 298 0.9997

37 0.03

0.9733 0.9753 0.9766 0.9790 0.9807 0.9817 0.9822 0.9836 0.9848 0.9856 0.9864 0.9875 0.9887 0.9893 0.9902 0.9907 0.9909 0.9912 0.9923 0.9933 0.9936 0.9940 0.9946 0.9947 0.9954 0.9956 0.9959 0.9961 0.9964 0.9968 0.9970 0.9972 0.9975 0.9977 0.9979 0.9980 0.9983 0.9983 0.9986 0.9986 0.9988 0.9990 0.9990 0.9992 0.9992 0.9993 0.9993 0.9994 0.9994 0.9995 0.9996 0.9997

38 0.03

0.9706 0.9728 0.9742 0.9768 0.9786 0.9797 0.9802 0.9817 0.9831 0.9839 0.9848 0.9859 0.9873 0.9880 0.9889 0.9895 0.9897 0.9900 0.9912 0.9923 0.9927 0.9931 0.9938 0.9939 0.9947 0.9950 0.9952 0.9955 0.9958 0.9962 0.9965 0.9968 0.9971 0.9972 0.9975 0.9976 0.9979 0.9980 0.9983 0.9983 0.9986 0.9988 0.9988 0.9990 0.9990 0.9991 0.9992 0.9993 0.9993 0.9994 0.9995 0.9996

39 0.03

0.9678 0.9702 0.9717 0.9744 0.9763 0.9775 0.9781 0.9797 0.9812 0.9821 0.9830 0.9843 0.9858 0.9865 0.9875 0.9882 0.9885 0.9887 0.9901 0.9913 0.9917 0.9921 0.9929 0.9931 0.9939 0.9942 0.9945 0.9948 0.9952 0.9956 0.9960 0.9963 0.9966 0.9968 0.9971 0.9973 0.9976 0.9977 0.9980 0.9980 0.9983 0.9986 0.9986 0.9988 0.9988 0.9990 0.9990 0.9991 0.9992 0.9993 0.9994 0.9995

40 41 0.03 0.02

0.9649 0.9619 0.9675 0.9646 0.9690 0.9663 0.9720 0.9694 0.9740 0.9716 0.9753 0.9729 0.9759 0.9736 0.9776 0.9755 0.9792 0.9772 0.9803 0.9783 0.9812 0.9793 0.9826 0.9808 0.9842 0.9826 0.9850 0.9834 0.9861 0.9846 0.9868 0.9853 0.9871 0.9856 0.9874 0.9860 0.9889 0.9876 0.9902 0.9890 0.9907 0.9895 0.9911 0.9900 0.9920 0.9910 0.9922 0.9912 0.9931 0.9922 0.9934 0.9926 0.9937 0.9929 0.9941 0.9933 0.9945 0.9937 0.9950 0.9943 0.9954 0.9947 0.9957 0.9951 0.9961 0.9955 0.9963 0.9958 0.9967 0.9962 0.9968 0.9963 0.9972 0.9968 0.9973 0.9969 0.9976 0.9973 0.9977 0.9973 0.9980 0.9977 0.9983 0.9980 0.9983 0.9981 0.9986 0.9983 0.9986 0.9984 0.9988 0.9986 0.9988 0.9986 0.9989 0.9987 0.9990 0.9988 0.9992 0.9990 0.9993 0.9992 0.9994 0.9993

25



26

Mean time 42 43 44 57 Lambda (llMean time) 0.02 0.02 0.02 0.02

Limits for Turnround time 0.02 0.0005 0.0005 0.0005 0.0004 0.04 0.0010 0.0009 0.0009 0.0007 0.06 0.0014 0.0014 0.0014 0.0011 0.08 0.0019 0.0019 0.0018 0.0014 0.10 0.0024 0.0023 0.0023 0.0018 0.12 0.0029 0.0028 0.0027 0.0021 0.14 0.0033 0.0033 0.0032 0.0025 0.16 0.0038 0.0037 0.0036 0.0028 0.18 0.0043 0.0042 0.0041 0.0032 0.20 0.0048 0.0046 0.0045 0.0035 0.22 0.0052 0.0051 0.0050 0.0039 0.24 0.0057 0.0056 0.0054 0.0042 0.26 0.0062 0.0060 0.0059 0.0046 0.28 0.0066 0.0065 0.0063 0.0049 0.30 0.0071 0.0070 0.0068 0.0052 0.32 0.0076 0.0074 0.0072 0.0056 0.34 0.0081 0.0079 0.0077 0.0059 0.36 0.0085 0.0083 0.0081 0.0063 0.38 0.0090 0.0088 0.0086 0.0066 0.40 0.0095 0.0093 0.0090 0.0070 0.42 0.0100 0.0097 0.0095 0.0073 0.44 0.0104 0.0102 0.0100 0.0077 0.58 0.0137 0.0134 0.0131 0.0101 51 0.7031 0.6946 0.6862 0.5913 56 0.7364 0.7281 0.7199 0.6256 60 0.7603 0.7523 0.7443 0.6510 65 0.7872 0.7794 0.7717 0.6803 69 0.8066 0.7990 0.7916 0.7020 70 0.8111 0.8037 0.7963 0.7071 75 0.8323 0.8252 0.8181 0.7317 76 0.8363 0.8292 0.8222 0.7364 79 0.8476 0.8407 0.8339 0.7499 81 0.8546 0.8480 0.8413 0.7585

83 0.8614 0.8549 0.8484 0.7669

87 0.8740 0.8678 0.8616 0.7827

88 0.8770 0.8708 0.8647 0.7864

90 0.8827 0.8767 0.8707 0.7938

93 0.8908 0.8850 0.8792 0.8044

97 0.9007 0.8952 0.8897 0.8176

102 0.9118 0.9067 0.9015 0.8330

104 0.9159 0.9110 0.9059 0.8387

106 0.9198 0.9150 0.9101 0.8443

111 0.9288 0.9243 0.9198 0.8574

112 0.9305 0.9261 0.9216 0.8598

116 0.9368 0.9326 0.9284 0.8693

118 0.9398 0.9357 0.9316 0.8738

120 0.9426 0.9386 0.9346 0.8782

124 0.9478 0.9441 0.9403 0.8864

125 0.9490 0.9454 0.9416 0.8884

129 0.9536 0.9502 0.9467 0.8960

131 0.9558 0.9525 0.9491 0.8996

132 0.9568 0.9536 0.9502 0.9013

27

Mean time 42 43 44 57 Lambda (l/Mean time) 0.02 0.02 0.02 0.02

Limits for Turnround time 134 0.9588 0.9557 0.9524 0.9047 137 0.9617 0.9587 0.9556 0.9096 139 0.9635 0.9605 0.9575 0.9127 143 0.9668 0.9640 0.9612 0.9186 146 0.9691 0.9665 0.9638 0.9228 148 0.9705 0.9680 0.9654 0.9255 149 0.9712 0.9687 0.9662 0.9268 152 0.9732 0.9708 0.9684 0.9305 155 0.9750 0.9728 0.9705 0.9341 157 0.9762 0.9740 0.9718 0.9364 159 0.9773 0.9752 0.9730 0.9385 162 0.9789 0.9769 0.9748 0.9417 166 0.9808 0.9789 0.9770 0.9456 168 0.9817 0.9799 0.9780 0.9475 171 0.9829 0.9813 0.9795 0.9502 173 0.9837 0.9821 0.9804 0.9519 174 0.9841 0.9825 0.9808 0.9528 175 0.9845 0.9829 0.9813 0.9536 180 0.9862 0.9848 0.9833 0.9575 185 0.9878 0.9865 0.9851 0.9611 187 0.9883 0.9871 0.9857 0.9624 189 0.9889 0.9877 0.9864 0.9637 193 0.9899 0.9888 0.9876 0.9662 194 0.9901 0.9890 0.9878 0.9667 199 0.9912 0.9902 0.9891 0.9695 201 0.9917 0.9907 0.9896 0.9706 203 0.9920 0.9911 0.9901 0.9716 205 0.9924 0.9915 0.9905 0.9726 208 0.9929 0.9921 0.9911 0.9740 212 0.9936 0.9928 0.9919 0.9757 215 0.9940 0.9933 0.9925 0.9770 218 0.9944 0.9937 0.9929 0.9782 222 0.9949 0.9943 0.9936 0.9797 224 0.9952 0.9945 0.9938 0.9804

228 0.9956 0.9950 0.9944 0.9817

230 0.9958 0.9952 0.9946 0.9823

235 0.9963 0.9958 0.9952 0.9838

237 0.9965 0.9960 0.9954 0.9844

242 0.9969 0.9964 0.9959 0.9857

243 0.9969 0.9965 0.9960 0.9859

249 0.9973 0.9969 0.9965 0.9873

255 0.9977 0.9973 0.9970 0.9886

256 0.9977 0.9974 0.9970 0.9888

262 0.9980 0.9977 0.9974 0.9899

263 0.9981 0.9978 0.9975 0.9901

268 0.9983 0.9980 0.9977 0.9909

270 0.9984 0.9981 0.9978 0.9912

274 0.9985 0.9983 0.9980 0.9918

277 0.9986 0.9984 0.9982 0.9922

284 0.9988 0.9986 0.9984 0.9931

291 0.9990 0.9988 0.9987 0.9939

298 0.9992 0.9990 0.9989 0.9946

28

Mean time 42 43 44 57 Lambda (llMean time) 0.02 0.02 0.02 0.02

Limits for Turnround time 304 0.9993 0.9991 0.9990 0.9952 355 0.9998 0.9997 0.9997 0.9980 394 0.9999 0.9999 0.9999 0.9990

29

Appendix 5

Normality Tests

De s criptive Statis tics

DataBakery .s vd

Mean

Std . Dev .

Co unt

Min imu m

Max imu m

Skew ness

K u rto sis

Project TR time

27 .450

35 .820

1 00

0.000

159 .000

1 .911

3 .013

Histogram

DataBakery .svd

) 5

)0

25

c 2 0 :J o U

1 5

10

Ko 1m 0 g 0 r 0 v·S m ir nov T e st fo r Mea sur e m e n t s

Grouping Variable:Actuallideal Measures

OF

Coun t , Actual

Cou nt , Ideal Normal

Maximum Difference

Chi Square

P·Value

2

1 0 0

100

.240

11 520

.0 063

· 20 o 20 40 60 80 100 1 20 140 160 180

Pr oject TR time

Descriptive Statistics

Inclusion criteria: Application from DataBakery.svd

Proje ct TR time

Mean 27 .863 Kolm ogorov·Sm Irnov Test for M easurem e nts

Grouping Variable : Actuailideal M easu res Std . De v .

Coun t

Min imu m

Ma x imum

Skew n ess

Kurtosis

Histogram

31 .635

51

0 .000

133 .000

1 .636

1 .785

OF

Co unt , Actual

C 0 u n t. Id e a I Nor m a I

M a x im u m 0 iff ere n c e

Chi Square

P·Value

Inclusion criteria : Application from DataBakery .svd

C :J o U

1 4

1 2

10

·2 0 o 2 0 4 0 60 8 0 100 120 1 4 0

ProJecl TR time

2

51

51

.235

5 .647

.1188

3 1


Inclusion criteria : Creation from DataBakery.svd

Project TR time

Mean 22 .308 Kolm ogorov-Sm irnov Test for M easurem ents

Grouping Variable : Actual /Ideal M eas ures

Std . Dev .

Count

Minimum

Max imu m

Skew ness

Kurtosis

Histogram

24 .870

26

0 .000

105 .000

1 .726

3 .019

DF

Count, Actual

Count, Ideal Norma l

Maximum Difference

Chi Square

P- Value

Inclusion criteria: Creation from DataBakery.5vd

C ::l

8

7

6

5

o 4 o

2

o -20 o


20 40 60 80

Pro ject TR time

Inclusion criteria: Proactive from DataBakery .svd

Project TR time

100 120

2

26

26

. 19 2

1 .923

.76 4 6

Mean 28 .094 Kolm ogorov-Sm Irnov Test for Measurem ents

Grouping Variable : Actualildeal Measures Std.Dev.

Cou nt

Minimum

Maximum

Skew ness

Kurtosis

Histogram

31 .4 4 3

32

0 .000

133 .000

1 .945

3.391

OF

Co un t , Act ual

C 0 u n t. Id e a I Nor m a I

Ma x imu m o iff ere n c e

Chi Square

P- V alue

Inclusion criteria: Proactive from DataBakery .svd

~ ::J o U

- 2 0 o 20 40 60 80 100 120 14 0

Pro jec t TR time

2

32

32

.219

3.063

.4 325

32


inciusion criteria:Soiicited from DataBa kery. svd

Project TR time

Mean

Std . Dev .

Cou nt

Minimum

Max imum

Skew ness

Kurtosis

Htstogram

27 .470

38 .346

66

0 .000

159 .000

1 .86 0

2 .6 11

Kotm ogorov·Sm Irnov Test for Measur e m ents

Group ing Variabie : Actua ll tdeai Measures

DF

Coun t. Ac tua l

C 0 u n t . Id e a I No r m a I

Ma ximu m D ifference

Ch i Square

P· V alue

2

66

66

.288

10 .939

.0084

inclusion criteria : Solicited from DataBakery .svd

C ::J o

U

24

22

20

I 8

16

14

I 2

10

·20 o 20 40 60 8 0 100 120 14 0 160 18 0

Pro je c t T R time


DataBeverage .svd

Project TR time

Mean

Std . Dev .

Count

Minimum

Ma x imum

Skew ness

Kurtos is

His tog ram

28 .0 15

44 .581

1303

0 .000

292 .000

3 .256

12 . 133

DataBe ve rage.5 vd

800

700

600

500

c :::> 0 400

U

30 0

200

100

0

-50 a 50 100 150 200

Pr o je c t TR t ime

Kolm ogorov-Sm irnov Test for Measurem ents

Grouping Variable : Actual/Ideal Measures

DF

Co unt, Actual

Count , Ideal N o rmal

Maximum Differ e nce

Chi Square

P-Va lu e

250 300

2

1303

1303

.265

182 .694

< .000 1


Inclus ion criteria : Application from DataBeverage .svd

Proje ct TR time

Mean

Std . Dev .

Count

26 .503 Kolm ogorov-Sm irnov Test for M eas urem ents

Grouping Var ia ble:Actual/ldeal Measures

Minimum

Ma ximum

Skew nes s

Kurtos is

Histogram

41 .32 1

670

0 .000

292 .000

3 .367

13 .088

OF

Count , Actua l

Count, Ideal Normal

Maximum Difference

Chi Square

P- Va lu e

Inclusion criteria:Application from DataBeverage.svd

400

35 0

300

2 5 0

c ~ 20 0 o

150

100

5 0

o -5 0 o


50 100 150 200

Project TR time

Inclusion criteria:Collection from DataBeverage .svd

Proje ct TR time

250 300

2

670

670

.261

91 .418

< .0001

Mean

Std . De v .

Count

22.765

40 .015

Kolm ogorov-Sm irnov Test for M eas urem ents


Minimum

Ma ximum

Skew ness

Kurtosis

Histogram

102

0 .000

285 .000

4 .219

21 .084

OF

Count, Actual

Count, Ideal Normal

Maximum Differenc e

Chi Square

P-Value

Inclusion criteria: Collection from DataBeverage .svd

70

60

5 0

~ 40 OJ o o

30

20

10

o

-50 o 50 100 150 200 25 0 300

Pro je c t TR time

2

102

102

.284

16.490

.0005


Inclusion criteria : Creation from DataBeverage .s vd

Project TR time

Mean

Std . Dev .

Count

35.418

51 .124

Ko 1m 0 9 0 r 0 v -5 m ir nov T est fo r Mea sur erne n ts

Grouping Variable : Actuallldeal Measures

Minimum

Ma x imu m

Skew ness

Kurtos is

Histogram

402

0.000

278.000

2.801

8.568

DF

Count, Actual

Count, Ideal Normal

Maximum Difference

Chi Square

P- V alue

Inclusion criteria : Creation from DataBeverage .svd

180

160

140

120

co 100 ::J 0 U 80

60

40

20

0

-50 0 50 100 150 200 250 300

Project TR time

De s criptive Stat is tics

Inclusion criteria: Proactive from DataBeverage .svd

Project TR time

2

402

402

.244

47 .781

< .0001

Mean 43 .90 1 Kolm ogorov-Sm irnov Test for Measurem ents

Grouping Variable : Actualildeal Measures Std . De v.

Count

Minimum

Maximum

Skew ness

Kurtos is

Histogram

60 .819

272

0.000

292.000

2.157

4.226

DF

Count, Actual

Count, Ideal Normal

Max imum Difference

Chi Square

P- Value

Inclusion criteria: Proactive from DataBeverage,svd

co ::J

120

100

80

o 60 U

40

20

o -50 o 50 100 150 200 250 300

Project TR time

2

272

272

.235

30 .118

< .0001


Inclusion criteria: Solicited from DataBeverage.svd

Project TR time

Mean

Std . De v .

Count

Minimum

Maximum

Skew ness

Kurtosis

Histogram

23 .796

38075

1020

0 .000

285 .000

3 .785

17.799

Kolmogorov-Smirnov Test for Measurements

Grouping Variable : Actual/ldeal Measures

DF

Count, Actual

Co unt , Ideal Normal

Maximum Diffe ren ce

Chi Square

P- Va lue

2

1 020

1020

.266

144 .002

<0001

Inclusion criteria: Solicited from DataBeverage .svd

C ::J

500

400

o 300 o

200

100

o -50 o 50


DataC 0 n fe ctio n ary.s vd

Project TR time

Mean

Std. De v .

Count

Minimum

Ma x imum

Skew ness

Kurtosis

Histogram

29 .196

44 .913

398

0.000

276 .000

3 .071

10 .5 60

100 150 Projec t TR time

DataC 0 n fe ctio nary.s vd

200

175

150

C 125 ::J o o 100

75

50

25

o -50 o 50 100 1 50

Project TR time

200 250 3 00

Kolmogorov-Smirnov Test for Measurements

Grouping Variable:Actual/ldeal Measures

DF

Count, Actual

Count, Ideal Normal

Maximum Difference

Chi Square

P-Value

200 250 3 0 0

2

398

398

.259

53 .312

< .0001

36


Inclusion criteria: Application from DataConfectionery .svd

Pr o je ct T R time

Mean

Std . De v.

27 .688

39 .743

Kolm ogorov-Sm irnov Test for M easurem ents

G r 0 u pin g V a ria b Ie : Act u a 1/1 d e a I Mea sur e s

Count

Min imu m

Max imum

Skew ness

Kurtosis

Histogram

186

0 .000

261 .000

3 .597

15 .2 90

OF

Count . A c tual

Cou nt . Ideal Normal

M a x im u m 0 if fer e n c e

Ch i Sq u a re

P- V alue

Inclusion criteria : Application from DataConfectionery .svd

100

90

80

70

60 c :::> 0 50 U

40

30

20

10

0

-50 0 50 100 1 50 200 250 300

Project TR time


Inclus ion criteria: Collection from DataConfectionery.svd

2

186

186

.242

2 1 .774

< .00 01

Project TR time

Mean 28.803

Kolmogorov-SmirnovTestforMeasurements

Grouping Variable: Actual/Ideal Measures

Std . De v.

Count

Minimu m

Max imum

Skew ness

Kurtos is

Histogram

53.299

76

0 .000

276 .000

3 .056

9 .205

OF

Count. Actual

Count. Id ea l Norma l

Ma x imum Difference

Chi Square

P- Va lue

Inclusion criteria : Collection from DataConfectionery .svd

4 5

4 0

3 5

30

~ 25 :::> 0 U 20

1 5

10

- 5 0 o 50 10 0 1 50 200 250 300

Pr ojec t TR time

2

76

76

.289

12.737

.0034

De s criptive 5tatis tics

Inclusion criteria : Creation from DataConfectionery .svd

Proje ct TR time

Mean 32 .299 Ko 1m 0 g 0 r 0 v -5 m ir nov T est fo r Mea sur erne n t s

G r 0 u p in g Va r ia b Ie : Act u a Il ld e a I Mea sur e s

Std . De v .

Count

Minimum

Maximum

Skew ness

Kurtosis

His tog ram

42. 163

107

0000

216 .000

2 .109

4 .65 1

OF

Count. Actual

Cou nt , Ideal Normal

Max imum Difference

Chi Square

P- V alue

Inclusion criteria : Creation from DataConfectionery .svd

4 5

40

35

30

~ 25 ::J o o 20

I 5

10

o -25 o 25 50 75 100 125 150 175 200 225

Project TR tim e


Inclusion criteria: Proactiv e from DataConfectionery .svd

Project TR time

2

107

107

.224

10.766

.0092

Mean

Std . Dev .

33 .447

49.801

Ko 1m 0 g 0 r 0 v -5 m ir nov T est fo r Mea sur e rne n t s

Grouping Variable : Actualildeal Measures

Count

Minimum

Ma ximum

Skew ness

Kurtos is

Histogram

85

0 .000

261 .000

2.579

7.019

DF

Co unt , Actual

Count, Ideal Normal

Maximum Difference

Ch i Square

P-Value

Inclusion criteria : Proactive from DataConfectionery .svd

45

40

3 5

30

~ 25 ::J 0 0 20

1 5

10

o

- 50 o 50 100 150 2 00 25 0 300

Pr oject TR time

2

85

85

247

10 .376

.0112


Inclusion criteria : Solicited from DataConfectionery .svd

Project TR time

Mean

Std . De v.

Cou nt

28 .029 Ko 1m 0 go r 0 v -S m ir nov T est fo r Mea sur em en t s

Grouping Variable : Actual / Ideal Measures

Minimum

Maximum

Skew ness

Kurtosis

Histogram

43 .759

309

0 .000

276 .000

3 .226

11 .785

OF

Count, Actual

Count , Ideal Normal


C hi Square

P-Value

2

30 9

3 09

.262

4 2 .466

< .00 0 1

Inclusion criteria:Solicited from DataConfectionery .svd

1 80

1 60

1 40

1 20

c 100 ::J 0 U 80

60

40

20

0

-50 0 50


Row exclusion: DataDairy.svd

Project TR time

Mean

Std . Dev .

Count

Minimum

Ma x imu m

Skew ness

Kurtosis

17 .979

28 .606

379

0 .000

270 .000

4 . 127

23.459

Histogram

100 150

Project TR time 200 250 300


Grouping Variable: Actual/Ideal M eas ures

OF

Count , Actual

Cou nt, Id ea I No rma I


Chi Square

P-Value

2

379

379

.264

52 .770

<. 0001

Row exclusion: DataDairy.svd

250

225

200

175

150 c ::J

125 0 u

100

75

50

25

0

- 50 0 50 10 0 15 0 200 250 300 Pro jec t TR t ime

39


Inclusion criteria:Application from DataDairy .svd

Project TR time

Mean 17 .571 Kolm ogorov-Sm irnov Test for M eas urem ents

Grouping Variable : Actual/Ideal M eas ures Std . Dev .

Count

Minimum

Max imu m

Skew ness

Kurtosis

Histogram

23 .774

189

0 .000

147 .000

2 .977

10.485

OF

Count. Actual

Count. Ideal Normal

Ma ximum Difference

Chi Square

P- V alue

Inclusion criteria : Application from DataDairy .svd

C :::J

80

70

60

5 0

o 40 o

3 0

20

10

-20 o 20

De s criptive Statistics

40 60 80 100

Pro je c t TR time

Inclusion criteria: Collection from DataDairy .svd

120 140 160

2

189

18 9

.228

1 9 .566

0001

Mean

Std . Dev .

Project TR time

12 .600 Kolm ogorov-Sm irnov Test for M easurem ents

Grouping Variable : Actual/ldeaIMeasures

Count

Minimum

Maximum

Skew ness

Ku rtos is

His tog ram

18 .555

75

0 .000

124 .000

4 .303

21 .342

OF

Count. Actual

Count. Id ea l Normal

Maximum Difference

Chi Square

P- V alue

Inclusion criteria: Collection from DataDairy .svd

C :::J o o

30

25

20

1 5

10

o - 2 0 o 20 40 60 80 100 1 20 140

Pr o ject TR t ime

2

75

75

.253

9 .627

.0162

40


Inclusion criteria:Creation from DataDairy.svd

Project TR time

Mean 22 .218

Std .Oev. 33 .117

Co unt 87

Minimum 0 .000

Max imu m 186.000

Skew ness 3 .024

Kurtos is 10 .883

Histogram

Kolm ogorov·Sm irnov Test for Measurem ents

Grouping Variable : Actuai li deal Measures

OF

Co u nt, A c tu a I

Co u nt, Id e a I Nor m a I

Maximum Difference

Chi Square

p. V a lu e

2

87

87

.253

11 .126

.0077

Inclusion criteria : Creation from DataDairy .svd

50

45

40

) 5

)0 c :::J o 25

U

20

1 5

10

o

·20 o 20


40 60 80 100120140160180200

Project TR time

Inclusion criteria: Creation from DataDairy.svd

Mean

Std . Oev.

Co unt

Minimum

Max imum

Skew ness

Kurtos is

Project TR time

22 .2 1 8

33 .117

87

0 .000

18 6 .000

3.024

10 .883

Histogram

Ko 1m 0 go r 0 v·S m ir nov T est for Mea sur em e n t s

Grouping Variable : Actual / Ideal Measures

OF

Co unt , Actual

Count, Ideal Normal

Maximum Difference

Chi Square

p. Va lu e

2

87

87

.253

11 .126

.0077

Inclusion criteria : Creation from DataDairy.svd

50

45

40

) 5

)0 c :::J o 25

U 20

1 5

10

o

· 20 o 20 40 60 80 100120 14 0 160180 200

Project TR time

-tl


Inclusion criteria : Solicited from DataDairy .svd

Project TR time

Mean

Std . De v .

Count

Minimum

Max imu m

Skew ness

Ku rtos is

His tog ram

14 .523

25 .565

262

0 .000

270 .000

5 .819

46 .003



OF

Count . A c tual

Count . Ideal Normal


Chi Square

P- V alue

2

26 2

262

.286

42 .9 3 9

< .000 1

Inclusion criteria: Solicited from DataDairy .svd

200

180

160

14 0

~ 120

::::l 0 100

U 80

60

4 0

20

0

-50 0 50 100 150 20 0 250 3 00

Pr o je c t TR time

Appendix 6

Out of Control Signals Raw Data Tables

Bakery BU

All Projects Application Creation Proactive Solicited

Outside Run Outside Run Outside Run Outside Run Outside Run

Mean/Control 6 11 2 4 1 0 1 2 4 10

Median 10 2 7 1 1 0 2 2 4 6

10% Trimmed Mean 6 5 6 1 1 0 2 2 4 5

Resampled Mean 5 5 1 4 1 0 2 2 4 10

'------ --~ -- -~ - - '--- - - -- '--- '-- -- -- -I

-

111000 Probability 3 2 1 1 2 Limits Exponential Model 1 0 1 0 1

111000 Resampled 0 0 0 0 0 I

Limits I - -

44

Beverat:e BU

All Proj ects Application Creation Collection Proactive Solicited

Outside Run Outside Run Outside Run Outside Run Outside Run Outside Run

Mean/Control 72 150 36 93 26 28 10 41 28 80 41 102

Median 113 44 46 34 29 14 12 5 37 23 56 34

100/0 Trimmed Mean 83 47 41 31 27 12 11 2 31 27 54 66

Resampled Mean 61 152 28 118 20 42 7 23 16 52 39 124 I -- - - -

111000 Probability 59 32 21 10 22 35 Limits Exponential Model 16 13 2 0 1 14

1/1000 Resampled 0 0 0 0 0 2 I Limits

45

Confectionery BU

All Projects Application Creation Collection Proactive Solicited


Mean/Control 20 39 8 18 4 8 5 19 4 5 15 27

Median 26 20 10 8 8 4 6 2 6 3 15 19 I

100/0 Trimmed Mean 23 19 9 8 5 5 6 2 5 3 15 16

Resampled Mean 18 43 7 13 5 2 5 21 4 4 13 38 -~ ----- -- - -- --- -

111000 Probability 19 8 4 5 4 14 Limits i

Exponential Model 5 2 0 2 1 4 I

111000 Resampled 1 0 0 0 0 0 Limits --- - -

46

Dairy BU



Mean/Control 19 49 8 12 3 6 2 1 5 15 13 42 I

Median 22 19 10 5 3 6 2 1 6 4 15 9

100/0 Trimmed Mean 22 15 9 6 5 11 2 1 6 6 14 7

Resampled Mean 17 31 7 12 4 12 2 1 6 15 8 14 -

111000 Probability 15 8 3 2 5 12 Limits Exponential Model 3 1 2 2 1 2

111000 Resampled 0 0 0 0 0 0 Limits

47

Appendix 7

Out of Control Si2nals as a Percenta2e

Bakery BU % Scores

All Projects Application Creation Proactive Solicited

Outside Run Outside Run Outside Run Outside Run Outside Run

Mean/Control 5.94 10.89 3.92 7.84 3.70 0.00 3.13 6.25 5.97 14.93 I

Median 9.90 1.98 13.73 1.96 3.70 0.00 6.25 6.25 5.97 8.96

10% Trimmed Mean 5.94 4.95 11.76 1.96 3.70 0.00 6.25 6.25 5.97 7.46

Resampled Mean 4.95 4.95 1.96 7.84 3.70 0.00 6.25 6.25 5.97 14.93

-- -- -- ---- ~---

111000 Probability 2.97 3.92 3.70 3.13 2.99 Limits Exponential Model 0.99 0.00 3.70 0.00 1.49 I

1/1000 Resampled 0.00 0.00 0.00 0.00 0.00 Limits

49

Beverage BU % Scores



Mean/Control 5.49 11.43 5.36 13.84 6.47 6.97 9.26 37.96 10.04 28.67 4.01 9.98

Median 8.61 3.35 6.85 5.06 7.21 3.48 11.11 4.63 13.26 8.24 5.48 3.33

100/0 Trimmed 6.33 3.58 6.10 4.61 6.72 2.99 10.19 1.85 11.11 9.68 5.28 6.46 Mean Resampled Mean 4.65 11.59 4.17 17.56 4.98 10.45 6.48 21.30 5.73 18.64 3.82 12.13

- - -~- -- ---- ----- -- -

1/1000 4.50 4.76 5.22 9.26 7.89 3.42 Probability Limits Exponential 1.22 1.93 0.50 0.00 0.36 1.37 Model 1/1000 0.00 0.00 0.00 0.00 0.00 0.20 Resampled Limits

-

50

Confectionery BU % Scores



Mean/Control 5.01 9.77 4.30 9.68 3.74 7.48 6.49 24.68 4.71 5.88 4.84 8.71

Median 6.52 5.01 5.38 4.30 7.48 3.74 7.79 2.60 7.06 3.53 4.84 6.13

10% Trimmed 5.76 4.76 4.84 4.30 4.67 4.67 7.79 2.60 5.88 3.53 4.84 5.16 Mean Resampled Mean 4.51 10.78 3.76 6.99 4.67 1.87 6.49 27.27 4.71 4.71 4.19 12.26

- - - --L _______

111000 4.76 4.30 3.74 6.49 4.71 4.52 Probability Limits Exponential 1.25 1.08 0.00 2.60 1.18 1.29 Model 111000 0.25 0.00 0.00 0.00 0.00 0.00 Resampled Limits

51

Dairy BU % Scores



Mean/Control 5.01 12.93 4.23 6.35 3.45 6.90 2.67 1.33 4.42 13.27 4.96 16.03

Median 5.80 5.01 5.29 2.65 3.45 6.90 2.67 1.33 5.31 3.54 5.73 3.44 i

10% Trimmed Mean 5.80 3.96 4.76 3.17 5.75 12.64 2.67 1.33 5.31 5.31 5.34 2.67

Resampled Mean 4.49 8.18 3.70 6.35 4.60 13.79 2.67 1.33 5.31 13.27 3.05 5.34

-

111000 Probability 3.96 4.23 3.45 2.67 4.42 4.58 Limits Exponential Model 0.79 0.53 2.30 2.67 0.88 0.76

111000 Resampled 0.00 0.00 0.00 0.00 0.00 0.00 Limits I

52

Appendix 8

Complete set of Histo2rams for all Methods

(J1

~

[] 0 0:: :;; 0;

" []

::<> §

[] o ~ ~ [] ;<l §

e;. Scorr

0 ~ 8 S

1,;,,"·,,1 Mc.nIC'ontrol

cc:::::::: "-

M""on •

10'"1. Trinwned

M ...

Re.omp\ed

M ...

111000 0 Probability .

Limits __

EAponcntial

Model

1/1000

Rcsamplcd

Limits

Me-an/Cuntrol

Mcdlll.ll

~ 8

0/0 Score

<;

8

10"/. Trim .. "" II-----+-----i M,on

Rcsamplcd

M,on

Exponential

MO<k1

1/1000

Res.amplcd

Limits

u; ~ 8 8

._. = ~ ~ t'I>

~ = c:: > '0 ~ ;:;. ~ .... o· ::s "'C '"'( 0 ...... t'I> n .... '"

8 ~

t:O :.>

"" .." ... '< t:O c:: "':I ... 0 ~ ,., .... ~.

t'I>

"':I '"'( 0 ...... t'I> ,., .... '"

~ 0 0

g Mean/Control

~ en 0; (l) Median 0 :::0 i:=: ::s

10% Trimmed Mean

Resampled Mean

111000 Probability Limits

Exponential Model

1/1000 Resampled Limits

o 8

MeanIC'ontroJ

Median

10% Trirmncd [] Moon 0 0:: ~

0;

" C Rcsamplcd ::<>

§ M,on

1/1000

Probriliility

Limits

Exponential

Model

111000

RCSlUT1pled

Lirniu

% Score

Ul 0 Ul

0 0 0 0 0 0

0/0 Score

~ ;:;;

8 8

N 0 0 0

~ 8

= ~ ~ t'I> '"'(

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56

Beverage BU - Collection Projects

i .., !! ] !! H~ :n " ~ " ~" sl:J P ~ : t ~ '"

Beverage BU - Proactive Projects

i !! ] !! H~ :n " ~" sl:J i " " j t

§ ]~ s ~:J

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20.00 -r----------------------------------,

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Dairy BU - Collection Projects 5.00 ~ ________________________________________________________________ -,

4.00

31'-) .. ~ " V'.I 2.00

'!. 1.00

MeanlControl Median Exponential Model

"c" .,.1 ::::;~:;-t-~::-:-....,.-~~-t--!:-:-:~ ..... .JL..l_t-l._.L....,.j,-_.J """""led M~n

V 1000 Probability

Limits

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Tnmmod

MClIn

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59

Dairy BU - Solicited Projects

25.00

20.00

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t 0

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Ul

§ ]~ s ~;J

!

Appendix 9

Control Charts for the Default Method / Mean

Beverage BU

Beverage BU Page number

All Projects 62

Application projects 81

Collection projects 91

Creation projects 93

Proactive projects 99

Solicited projects 103

400

350 Q)

E 300

a:: 250 I-

200 u

.~ 150 ~

D-- 100

50

0

- 50

Q)

§

a:: I-

400 u Q) 350 0

D-- 300

0 250 Q)

C> 200 c: <II

a:: 150

CI 100 .:; > 50 0

::. 0

-50

62

ILlne Chart

Range Span:2

Can tra I L 1m Its: 3 S Ig m a Split By: C h art N u m b e r

Cell:Chart1

A

B

C

Beverage BU - All Projects

1 , 5

UCL 218.974

i_I \ "" I \ • _ , \ , • .,.1 _ _ t- C e n te r 49.085

C

M R Line Chart

Range Span: 2

6 11

Can t r a I Lim It 5 : 3 S I 9 m a

Split By: Chart Num be r

Cell:Chart1

6 11

16 21

16 21

26 31 36 41

o b s e rv a tio n

26 31 36 41 Observation

46 51 56 61 66 71

UCL 208.731

Center 63.9

LCL 0

46 51 56 61 66 71

300

250 II>

E 200

a:: I-

150 u

.~ 100 0

n. 50

0

-50

II>

E

a:: I- 300

u

.~ 250 0

n. 200

0

II> 150 C>

c: .. 100 a:: C>

.:: 50 > 0

:::; 0

- 50

63

I Line Chart

Range Span:2

ControlLlm It5:3 Sigm a

Spilt By: Chart Num ber

Ce II: Chart 2


2 Z 2 - --- -5 -- - - - - - -- - - 7""2"'2"'2- ~--------------------------------------------------------------------------------------

"'

M R Line Chart

Range Span:2



Cell:Chart2

"' '" "' '" "' '" '" ... Observation

"' ... .,., <D .,., <D <D <D "

U CL 104.617

C e n te r 21.704

U C L 101.869

I \ '. ~ ,. 1: .. \c ~ ~"r lee n te r = 31.186

~------ L C L = 0

6 11 16 21 26 31 36 41 46 51 56 61 66 71 Observation

64

300

250

'" E 200

a: I-

150 u

.~ 100 0

a. 50

I Line Chart

Range Span:2

Control Lim Its: 3 Sigm a

Spilt By: C h art N u m be r

Cell:Chart3

A

B

C


o C ______ ~':-':-~~'}i:l,~~~~-~- ,,_ ... -_~:~ 3 __________________ _

'" .~

a:

-50

M R Line Chart

Range Span:2

<0

Con t r 0 I Lim It s : 3 S I 9 m a

Split By:Chart Num ber

Cell:Chart3 I- 300

u

.~ 250 ~ a.

200 0

'" 1 5 0 0> c:

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UCL 161.238

C e n te r 31.38

U CL 159.547

0>

!:: 50 ~ \I I ~l i""""'\' rCenter = 48.843 > 0

::2 0

-50

------.. ~_.,..F Fe

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250

200

150

100

50

a

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Range Span:


Spilt By:Chart Num ber

Cell:Chart4

A

B

<0

M R Line Chart

Range Span:2

250

225

200

175

150

Conlrol Lim Its: 3 Sigm a

Split By: Chart Num ber

Celi:Chart4

<0 N

<0 N

1. 5


<0

'" '" ..,. Observation

<0 ..,. '"

<0

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- - - - - - - - - - - - - - - - - - - - - - - _._ .. - - - - -1- ___ ... - - _ - - - - - - - - - - - - - - - - - - - - - - - - - -125

1 a a 75

50

25

a - 25

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<0 N

<0

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<0 ... '" <0

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asssl --.r"t -__ -- __ . <0

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UCL 13 0.712

C e n Ie r 25.732

UCL 128.981

Center 39.486

LCL a

66

" E

a:

300

250

" E .- 200 a: I-

150 u .~

100 0

I Line Chart

Range Span:2 Control Lim Its: 3 Sigm a


Cell:Chart5

C


11 ,1!i1!)11;i,51;l ED ~ ,,6,8

UCL

a. 50 -I _ I \ I 'Ii J, ..... q \I I I \ I 'v' 'v' \ 1\ 1\ •• { ~ C e n te r

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<0

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Cell:Chart5

6 6

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5,6,8

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188.564

53.465

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u

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a. 200

0

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-50

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lEI 1/ ~ _ / ==-\ .... I ~ / h ELi I Center = 50.814

<0 <0 <0

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<0

M

Observation

<0

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to to to

LCl 0

I'-

67

<IJ

E

a:: I-

u

400

350

300

250

200

I Line Chart

Range Span:2

Control Lim 115: 3 Sigm a

Spill By: CharI Num ber

Cell:Charl6


.~ 150 UCL 146.693 0

0-

<IJ

E

a:: I-

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-22 B

-50

400

350

300

250

200

150

1 0 0

M R Line CharI

Range Span:2

<0

Con I r 0 I Lim 115 : 3 S I g m a


Cell:Charl6

co

'" co

'" co

'" '" ..,. o b s e r va tio n

co ..,. '"

co

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UCL 142.887

50 1 F\F \ I"" f _ "" \_~ I~ rCenter=43743

0

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~

68

400

350

300

250

200

1 5 0

1 0 0

I Line CharI

Range Span:2

Con I r 0 I L 1m 115 : 3 S Ig m a


Cell:Charl7

A

B

C


U CL 224.043

50 J r """\'... .. 46 '. • !\ _ { \ I I I 1/ L C en te r 60.648

0 B

_C_ _ _ _ _ •••••• - 6666

- 5 0

400

350

300

250

CD

MRLlneChart Range Span:2

ControlLlm 115:3 Sigm a


Cell:Chart7

CD

'" CD

'" <D CD

'" '" ..,. '" o b 5 e r vatic n

200 ------------------------------------------------------------

150

100

50

0 - - - - - -_ I ••

·50 CD CD

'" <0

N

CD

'" '" ..,. o b 5 e r vatic n

<D

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CD

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UCL 200.752

Center 61.457

L C L 0

....

69

., .s a:: >-

u .~ 0

a.

., E

a::

300

250

200

150

100

50

ILlne Chart Range Span:2 ControlLlm Its:3 Sigm a Split By: Chart Num ber Cell:Chart8

~--------------------------B


C- - - - - - - - - - ::..- - - - - - - - - - - - - - - -'-1- - - - - - - - - - - -

C

1, 5, 6

0 B ~~ . _____________________ :~ __ 31 ___________________________ ______________________________ _ -50


co

Con Iro I L 1m lis: 3 S Ig m a Spill By: Chari Num ber Cell:Chart8

co N

co N

co

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co ..,. '"

co

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u

.~ 250 0

a. 200 0 ., 150

'" c:

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:::;: 0

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------........ co co co co

N

o b s e r va lio n

co

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UCL 1 14.683

C e n Ie r 28.352

UCL 106.069

Cenler=32471

L C L = 0

70

75

Q)

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a: I-

25 u

.~

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-25

-50

Q)

.!:::

a: I- 60 u

~ 50 o

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Q) 30 0> C

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Spilt By: Chart Num ber Cell:Charl9

C

C

A

co


ConlrolLlm Its:3 Sigm a Spill By: Chart Num ber Cell:Chart9

co

co

co

N

N

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co N


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o b 5 e r va tio n

co C")

o b 5 e r va tio n

co ...

co ...

on

on

co on

co on

co

co

co co

co co r--

UCL 63.539

C e n Ie r 20.127

LCL -23.286

UCL 53.338

C e n Ie r 16.329

LCL o

71

'" .§

ex:

250

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ex: 1 50 I-

.~ 100 o

a.. 50

o

-50

I Line Chart Range Span:2 Control Lim Its: 3 Sigm a Spilt By:Chart Num ber Cell:Chart10

A

C

C

B

co

M R Line Chart Range Span:2 ControlLlm 115:3 Sigm a Split By: Chart Num ber Cell:Chart10

I- 225

0 200 .~

~ 175 a..

150 0

'" 1 2 5

0> c: 100 <II

ex: 75

co

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1 . 5

co

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co ... .,., CD .,., CD

CD

co

UCL 158.559

C e n te r 35.31

UCL 151 .427

0> 50 c: 1 :1 lo: ~ ~ 't... ~ rCenter = 46.357

> 0 25

::;; 0

-25 CD co

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(") (") ... Observation

co ... .,., CD .,., CD CD

co

LCL 0

I'-

200

1 75 Q)

150 E

125 cr: I- 100

u 75 .'!!. ~ 5 a a.

25

a -25

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cr: I- 1 8 a u 160 .'!!. ~ 140 a.

120 0

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C> c 80

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4 a !: >

20 0

:::;; a - 2 a

72

I Line CharI Range Span:2 Conlrol Lim lIs: 3 Sigm a Spill By:Charl Num ber Cell:Charlll


UCL 92.837 A

B

C

1c: .... f'llJ~..-.Ii \JIGf ... j~/--aJ.W lt~"'AiL"~"" ,Center 22.648

B

A h···· •••• ~·.·j·i····i·i=··, ....... ~ .. I1··.·,··=·,· .. ,.., •••. , ....... , .... ,,.1'1 ••• ,,,,,,., .... " ...• -.-.-,.,.,. ............ LCL -47.541 co <0 co co,.... co <0 (Q

MRLlneCharl Range Span:2 Con I r 0 I Lim II s : 3 S I g m a Spill By: CharI Num ber Cell:Charlll

co

N

co N

N M M v v ~ ~ co co

co N

o b s e rv a tio n

co

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co

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r-.

UCL 86.236

Center 26.4

LCL a

r-.

., §

tr I-

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::;

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Range 8pan:2 Control Lim Its: 3 Sigm a


Cell:Chart12 175

150

125

100

75

50

A

B

C


UCL 98.621

25 ~ ,/\ lk\A .. __ ,., .. ,,' • :=L'e. _}'\ "r I-Center 27.141

a

-25

-5 a

160

140

120

100

80

60

4 a

2 a

a

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C

B 22 2. 6

A ______________ ,_,_ , ___ ?' ?' _ ';' ';' __ -; -; _______ ?' ?' ____ "7 "7 - - - -, - - - - ,- - - - ;- - - - "7 - - - - - - - ,- - - - - - - - - - - - - - - - - - -I L C L - 44.34

MRLlne Chart

Range Span:2

CD

Control Lim Its: 3 81gm a Spill By: C h a r I N u m be r Cell: C h a rl 12

CD

CD

N

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UCL 87.823

Center 26.886

LCL a

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0 ., 0> c

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74

350

300

250

200

150

100

50

I Line Chart

Range Span:2

ControlLlm it5:3 Sigm a


Cell:Chart13


UCL 1 13.0 13

C e n te r 32.1 13

a ~-------A------------------------------------------------------------------------------------- 5 a h , " .. :., • , , , r I Iii I , , • 'i '4 ,,: ,: , , .. .. .. L C L -48.787

300

250

200

150

1 a a

50

a

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M R Line Chart

Range Span:2

Con t r 0 I Lim It 5 : 3 S I g m a


Cell:Chart13

<D <D

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<D M ..,.

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UCL 99.396

Center = 30.429

L C L = a

75

250

., 200 .§

oc 1 50 ... . ~ 100 o

D. 50

o

- 50

., §

oc ... 225

(.)

~ 200

~ 175 D.

1 50 0 ., 125

100

OC 75

'" .!: 5 0

Iline Chari

Range Span:2

Control lim Its: 3 Sigm a

Spill By: C h a r I N u m be r

Cell:Charl14

11

M R lin. C h a r I

Ran 9 e Span:2

Control lim liS: 3 Sigm a Spill By: C h a r I N u m be r

Cell:Charl14

16 21 26


3 1 36 4 1 46 51 56 61 66 71

Observation

1- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -1- - .. - - - - - - - - - - - - - - - - - - - - - - - - - - - -I

UCL 77.441

C e n te r 20.887

LCL -35.667

UCL = 69.484

>

2: 1------"'--- ~~~~~---~--~-~-Jl'-~-.-----+~~:t:ro= 21.271 0

::!!

- 25 6 11 16 21 26 3 1 36 41 46 51 56 61 66 7 1

Observation

76

., E

a:: f--

u .~ o a..

250

200

150

100

50

a

I Line Chart

Range Span:2



Cell:Chart15

A-------------------------~----

B

C

C

Beverage BU - AI! Projects

8 - - - - --- - - -- - ~-2 ___________________________ ~_~ ____________________ ~ _______________ 2 _________________ _

- 5 a

., .~

a:: I- 225

u 200 ., o 175 a..

150 o ., 125 0> c 100 co a:: 75 0>

50 = >

25 0 :::;: a

-25

MRLlneChart

Range Span:2

CD

Control Lim Its:3 Sigm a Spilt By: Chart Num ber

Ce II: Chart 15

CD

CD N

CD N

CD N

CD N

'"

CD


CD ..,. o bs erv atio n

CD ..,.

CD ..,. ...,

..., CD ...,

CD ...,

CD

CD

CD

CD

CD CD "

"

UCL 1 1 1 .7 8 2

C e n te r 30.465

UCL 99.909

Center 30.586

LCL a

'" E

et: I-

u

~ 0

0..

'" .~

et: I-

u .'!!, 0

0..

0

'" 0> C

et: 0>

" > 0

:::;:

77

100

75

I Line Chart

Range Span:2


Spilt By: CharI Num ber

Cell:Chart16

"~ 25 ~------

0

- 2 5

-50

90

80

70

60

50

40

30

20

10

0

·10

M R Line CharI

Range Span:2

<0

Control Lim lIs: 3 Sigm a

Split By: C h art N u m be r

Cell:Charl16

co

<0 N

co N

<0 N

co N


<0

'" '" ... Observation

co '" ("') ...

Observation

<0 ...

<0 ...

'"

'" <0

'"

<0

'"

<0

<0

co <0

<0 <0

r--.

r--.

UCL 59.584

C e n te r 18.07

LCL -23.443

UCL 51 .005

Center 15.614

LCL 0

78

'" S 0:: >-

u

~ 0

CL

'" E

0:: >-

" .~ 0

CL

0

'" '" c

'" 0::

0>

.= > 0

::l:

150

125

100

75

50

25

a

-25

-5 a

160

140

120

100

80

60

40

20

a

-20

I Line Chart

Range Span:2



Cell:Chart17

A

B

C


1. 5

UCL 109.664

-I • I''''''I'!~ , I • ± 1_ I II II 1\. L-:a::a: ., \ , • Center 26.789 C _________ ....

B

MRLlne Chart

Range Span:2

5

(0

5


Split By: C h art N u m b e r Cell:Chart17

J-_

co

(0

<0

N

N

(0

N

<0

N

2

(0

'" '" ... Observation

<0

'" '" ... Obsen'ation

(0 ...

(0 ...

2 2 2

'"

'"

(0

'"

(0

'"

(0

(0

(0

(0

(0

(0

.....

.....

UCL 101 .822

Center 31.171

LCL a

79

'" §

c:r:: I-

0

~ 0

c..

'" §

c:r:: I-

o

'" o

c..

o

'" CO>

70

50

30

10

-10

- 30

- 50

70

60

50

40

c 30 ftI

c:r:: CO>

.!: > o ::;

20

10

o

-10

ILlne Chart

Range Span:2



Cell:Chart18

C

C

B

A

M R Line Chart

Range Span:2

<0


Split By: C h art N u m be r

Celi:Chart18

<0

<0

CD

('oj

e,

<0 ('oj

<D ('oj


<0

'" '" "<t Observation

<0 .".

Observation

6

<D

"<t

<D .".

'"

'"

<0

'"

<0

'"

<0

<0

<0 <0

<0 <0

r--

.....

UCL 62.802

C e n te r 1 7.7 1 8

LCL -27.365

UCL 55 391

Center 16.957

LCL 0

80

100

II) 75 §

cr f-

o .~ o

Q.

§

cr f-

0

.~ 0

Q.

0

Q)

0>

cr 0>

~ > 0

::;

50

25

o

-25

- 50

80

70

60

50

40

30

20

10

0

- 10

ILlne CharI

Range Span:2

ConlrolLlm 115:3 Sigm a


Cell:Charl19

A

B

B

A

MRLlne CharI

Range Span:2

6

Conlrol Lim lIs: 3 Sigm a

Spill By:Charl Num ber Cell:Charl19

11


16

Observation

21

UCL 68.64

C e n Ie r 20.059

LCL -28.523

26 3 1

U C L 59.688

1 .: 'iIIIIII: .... I '\ / '\ \ I \ / >~ ''ill:: r C e n te r = 18.273

L C L 0

6 11 16 21 26 3 1 o b s e r vat io n

81

<1>

E

a: f-

u 400

~ 350

~ 0.. 300

0 250 ., co 200

a: 150

co 100 :: > 50 0

::!' 0

·50

ILlne CharI Range Span:2


Spill By: A p P IIC rea

Cell:Charl1

Inclusion crllerla:Applicallon from DalaBeverage.svd

UCL 199.377

01 ,... :Jio:::: ~ ~ JO \ ± \ I 1 ___ I :L J "'" ~ ~ _ _ 1 'd \ _ _;/;; :i::::~ '" C e n Ie r = 3 8 .4 5 1

M R Line CharI Range Span:2

<0

Con I r 0 I Lim 115 : 3 S I 9 m a Spill By: A p P IIC rea Cell:Charl1

co N

co N

co M

o b s e r v a tio n

Inclusion crlterla:Applicallon from DalaBeverage.svd

<0

.... '" <0

'" <0 co co

UCL 1 97.7 1 9

J ." \ J .. I F' ~Cenler = 60.529

co co N

co

o b s e r val;o n

co .... '"

co

'" co co co

L C L 0

,...

" §

cr I-

0

.~ 0 ~

n.

0

" CD c:

'" cr co .s > 0 :::;:

82

250

" 200 §

cr 1 50 I-

0 100

.~ 0

n. 50

0

ILlne CharI

Range Span:2

Conlrol Lim 115: 3 Sigm a

5 p III By: A p P IIC rea

Cell:Charl2

Inclusion crllerla:Applicallon from DalaBeverage.5vd

A

B

C

C

B ------------~-------------------------------------------------------------------------

- 50 <D

MRLlneCharl

Range Span:2 ConlrolLlm 115:3 Sigm a

S p III By: A p P IIC rea Cell:Charl2

<D

'" <D

'" <D

'" '" .... o b 5 e r val;o n

Inclusion crllerla:Applicallon from DalaBeverage.svd 225

200

1 75

150

125

100

75

50

25

0

- 25 <D <D <D

'" '" o b 5 e r \I a t io n

<D

<D

.... <D

'" <D ....

<D

UCL 105.736

C e n Ie r 23.127

UCL 101.496

Cenler 31.071

L C L 0

.. E

a:: >--

u

~

~ Q.

0

0>

c

'" a:: 0>

.: > 0

::;:

83

250

.. 200 E

a:: 150 >--

u

o Q.

100

50

o

ILlne CharI

Range Span:2


Spill By: A p P I/C rea

Ce II: CharI 3

Inclusion crllerla:Appllcatlon from DalaBeverage.svd

1, 6

.A. _________ _ B __________ _

C

Be _____ ~ .:-:--. = ~ : : : : : :: ~: ~ : : :-: : : __ ': ____ ~=~~:: : ~: ~ ~ ~:: : : _______________________ _ A

UCL 89.53 1

C e n Ie r 2 1 .507

-50 h • • •• ...... • .... , ,. ,. • ... ... • • Ie • ,. .. ., ,. .. .. • - ... 'P ., ... 'II... . .•• ,. ,. ,. ,. ,. ,. . '1' • r .. 'P • • ... L C L ·46.517

200

180

160

140

120

100

80

60

40

20

0

- 20

M R Line CharI

Range Span:2

<SO

Conlrol Lim lIs: 3 Sigm a Spill By: A p P I/C rea

Cell:Charl3

<SO

N

<SO

'" <SO

Observation

Inclusion crlterla:Appllcallon from DalaBeverage.svd

<SO <SO

'" <SO

'" <SO ..,

o b 5 e r vat 10 n

<SO

<SO ... ..,

'" <SO ..,

<SO .., <SO

<SO

<SO <SO t--

UCL 83.577

Center 25.586

LCL 0

" E

a:: >-

u

.!!,

~ 0..

0

" co c:: .. a:: co .: > 0

~

84

250

" 200 E

a:: 1 50 >-

u 100

.!!,

~ 0.. 50

0

ILlne Chari

Range Span:2


Spill By: A p P I/C rea Cell:Chart4

Inclusion crllerla:Appllcalion from DalaBeverage.svd

lA ________

fc

UCL 101 .246

C e n Ie r 28.056

·50 t - - - - - - - - - - :0- -,- ,- - - - j i j' ;, - - - -,-,- - - - - J i - - - - - -, -, -.-~- - - - - 'j i i - - :, - -,- - - - ,- j - - ;, "j 'i - - - -,-,- - ,-iii 'i - - - - - - - =t L C L ·45.1 33

200

180

160

140

120

100

80

60

40

20

0

·20

M R Line Chari Range Span:2

Con I r 0 I Lim 115 : 3 S I 9 m a Spill By: A p p IIC rea

Cell:Charl4

'" N ("') '"It.q \,() t,(') <0 <0

o b s e rv a tio n


co co co co co

'" ... co o b s e r vat io n

....

UCL 89.923

Cenler 27.529

LCL 0

., §

0:: f-

u

.~

~ Q.

., §

0:: f-

u

.~ 0

Q.

0 ., 0>

0::

0>

.5: > 0

:::;

85

250

200

150

100

50

0

ILlne CharI

Range Span:2

Conlrol Lim liS: 3 Sigm a


Cell:Charl5

Inclusion crllerla:Applicallon from DalaBeverage.8vd

A

1. 5

B 22 4 --------------------------------------------------------------------------------------- 50

'"

MRLlneCharl

Range Span:2

ConlrolLlm 118:3 Sigm a


Cell:Charl5

'" " '" " '" '" o b s e r vatic n

Inclusion crlterla:Appllcallon from DalaBeverage.svd 200

180

160

140

120

100

80

60

... '" ... '" on '" '" '"

UCL 130.576

C e n te r 34.90 1

UCL 1 17 548

40 -:l \ • __ {\ 1\" \ _ • _ • r-. ."", I \1 r C e n te r = 35.986

20

0 LCL 0

-20 '" <0 <0 <0 co <0 <0 on <0 " Observation

'" .~

a: f-

" ~ ~ 0..

0

'" '" c:

a:

'" c: > 0

:::;

86

250

'" 200 E

II!: 150 f-

" 100 .~

~ 0.. 50

0

·50

I Line CharI Range Span:2

Con I r 0 I Lim II S : 3 S I g m a

Spill By:Appl/Crea

Cell:Charl6


A

B

co

'" co

'" '" o b s e r valiD n

200

180

180

1 4 0

120

1 0 0

80

60

40

20

0

·20


Control Lim Its: 3 Sigm a Spilt By:AppllCrea Cell:Charl8 Inclusion crlterla:Appllcallon from DalaBeverage.svd

co co co

'" co

'" o b s e r vallo n ...

...

co

co ... '"

'" co

'"

co

'" co

co

co co

....

UCL 1 12.226

tcenler= 27.718

UCL 103.829

Cenler 31.786

LCL 0

E

a: f-

u

.!. ~ a.

0 .. '" c:

a:

= > 0

::;

87

ILlne Chart

Range Span:2

Control Lim Its:3 Sigm a

Split By: A p P I/C rea

Cell:Chart7

Inclusion crlterla:Applicatlon from DataBeverage.svd

.. §

a: f-

u

!. 0 ~

a.

350

300

250

200

150

100 ... ---------

50

0

-50

M R Line Chart

Range Span: 2

5

<0


S· p lit By: A p P I/C rea

Cell:Chart7

<0

'" <0

'" <0 0) ~

Observation


300

250

200

1 50

100

50

0

·50 <0

'" <0

'" <0

0)

o b s e r vat io n

co ~

<0

~

'" <0

'"

<0

'"

<0

<0

co

<0

<0 I'-

UCL 106.368

C e n te r 28.127

UCL 96 129

Center = 29.429

L C L = 0

88

'" E

ILlne Chari

Range Span:2 ConlrolLlm Its:3 Sigm a

Spilt By: A p P I/C re a Cell:Charl8

Inclusion crllerla:Appllcatlon from DalaBeverage.svd 250

1 . 5

200

~ 150 f-

" 100 '" 0

"- 50

0

- 5 0

§

~

f-225

" ~ 200 0 ~ 1 75 "-

0 1 5 0

'" 1 2 5 <> c: 100 co ~ 75

'" !: 50 >

25 ::l: 0

- 25

UCL 92.383

C e n Ie r 27.169

t - - - - - - - - - - -,-,- - - - - -7 ~ -, -, - - - - - - - 7 7 -: - - - -,- - - - ~ -: - - - -:.- -,- - -: - - - - - - - -,- -",- - - - 7 - - - - - -",- - - - - - - - - - - 1 L C L

'" -38.045

M R Line Chari Range Span:2 C onlrol Lim Its: 3 Sigm a

Spill By: A p P IIC rea Cell:Charl8

N C\I ..q- U1 LO co co o b s e r vatic n

Inclusion crllerla:Appllcatlon from DalaBeverage.svd

UCL 80.123

:'f\ 9IL~"" ;i;;: ~I .' _ i I \ \ _ au \,.. _ I ICe n te r = 24.529

<0 '" N '" ... o b s e r va tio n

'" ... '" '" <0

LCL 0

89

200

., 150

§

ex: f- 100

u .!J1. ~ 50 Il.

0

-50

., §

ex: 160 f-

140 u

.!J1. 120 0

Il. 100 0 ., 80 0>

60 " '" ex: 0> 40

.!: > 20 0

::l: 0

-20

ILineChart

Range Span:2

Control Lim its: 3 Sigm a

Spilt By:AppllCrea

Cell:Chart9

Inclusion crlterla:Applicatlon from OataBeverage_svd

1 1,5

11 16 21 26 31 36

o bs ervation


Control Lim Its: 3 Sigm a Split By: A p P IIC rea Cell:Chart9 Inclusion crlterla:Applicatlon from OataBeverage.svd

UCL 73.705

Cenler = 23

LCL -27.705

41 46 51 56 61 66 71

UCL 62.297

-l _ _ I ~ \I II \I 1 "" A~F: \ _ J.. ~ -'\ rCenter = 19.071

LCL 0

6 11 16 21 26 31 36 4 1 46 51 56 61 66 71

o b s e r vat io n

90

., §

<r f-

u .!!. o

Q.

., .§

<r f-

u .!!. ~ Q.

o ., C> c:

'" <r C>

.s > o

:::;;

100

75

50

25

o

-25

-50

80

70

60

50

40

30

20

10

o

-10

I Line CharI

Range Span:2


S p II I By: A p P IIC rea

Cell: CharI 10


~-----------------------------------------------~~---- ------------------------

C B A-----------------------------------------------------------------------------

M R Line Chart Range Span:2 Control Lim Its: 3 Sigm a Spilt By: AppliCrea Cell:Chart 10

6 11 16

Observation

Inclusion crllerla:Applicatlon from DataBeverage.svd

21 26 31

UCL 51.389

Center 16.909

LCL -17.571

____ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -1- - - -1- - - - - - - - - - - - - - - - - - - - - - - - - -L U C L 42.363

6 11 16

Observation

21

Center 12.969

LCL 0

26 31

91

450

400

'" 3 5 0 E

300 a: f- 250

" 200 .~

~ 1 50 n.

100

I Line Chart

Range Span:2


Spilt By: A p P I/C re a

Ce II: Chart 1

Inclusion crlterla:Coliection from DataBeverage.svd

1 . 5

1. A _____________

1 .1 51 ~1 51;i «i€;5€; 6

••••••

UCL 178.1 12

50 ~:: _ H' _ \1 _ a: • Pc.:. I:..Center 1,-: 57.901

0

-50

'" .§

a: f- 400

" .~ 350 o ~ 300

o 250

'" '" 2 0 0 c:: '" 1 5 0 a:

'" 1 0 0 .:

M R Line Chart

Range Span:2

6


Spilt By: Appl/Crea

Cell:Chart1

11 16 21 26 31

Inclusion crlterla:Coliectlon from DataBeverage.svd

36

Observation

4 1 46 51 56 61 66 71

UCL 147.694

> 50 -I ,..: ~~: _I ______ r--. t"Center=45214 0

:=; 0 -------·50

6 11 16 2 1 26 3 1 36

Observation 4 1 46 51

LCL 0

56 51 66 7 1

92

100

CI> 75 E

a: ~

" .!!!, o

50

25

Q. 0

CI>

E

a: ~

" .!!!, o

Q.

o CI>

'" c

-25

-50

80

70

60

50

40

'" 3 0 a: '" 2 0 :: > o ~

10

o

·10

ILlne Chari Range Span:2

Conlrol Lim lis: 3 Sigm a

Spill By: A p P I/C rea Cell:Charl2

Inclusion crllerla: Collection from DalaBeverage.svd

A

B

C

-----------------------~.----------------------------- ---------------------------1 UCL 57.949

C en te r 14.081 C

B

A ----------------------------------------------------------------------------------------1 LCL

6

MRLlneCharl Range Span:2 ConlrolLlm 115:3 Sigm a Spilt By: A p P I/C rea

Cell:Charl2

11 16

Observation

Inclusion crllerla:Collecllon from DalaBeverage.svd

21 26 31 36

------------------------------------------------------r UCL

C e n te r

LCL

6 11 16 21 26 3 1 36

Observation

-29.787

53.898

1 6.5

o

§

a:: >-

u

~ ~ Il.

0

'" CD c:: co a:: CD

.!: > 0

::!:

93

350

300

'" E 250

a:: >-

u

~

~ Il.

200

1 50

100

Illne Chari Range Span:2 Con tr 0 I lim II s : 3 S Ig m a Spill By: A p p IIC r 0 a

Cell:Charl1 Inclusion crltorla:Creatlon from DalaBevorage.svd

A

B

ueL 164.363

50 { 'III!' ,... 1":=2"\ =- =- \ ~, 1: I \ f" \ J'(, I" [ e e n te r 40.127 e

0 B 5. 6

- 50

'"

M R line Chart Range Span:2 Coniroilim lis: 3 Sigm a Spill By: A p P IIC rea Cell:Charl1

co N

co N

Inclusion crltorla:Creatlon from DalaBeverago.svd 300

250

200

150

100

co

'" '" .... o b s e r v a lio n '" .... '"

'" '" '" '"

u e L 152.64

50 -I .1. I \ _ ,.\ ;;;;{."'f; _ \ I _ /\J \~]' \ reenter = 46.729

0

- 50 '" '" '" N '" '" '" '" o b s e rv a tlo n

co

'" '"

LCl 0

'" §

C(

f-

u

!!!. ~ 0..

0

'" 0> c:

'" C(

0>

.: > 0

~

94

300

.. 250

§ 200

C(

f-150

u

.!!!. 0 100

0..

50

ILlne Chari

Range Span:2


5 p III By: A p P IIC re a

Cell:Charl2

Inclusion crllerla:Creallon from DalaBeverage.svd

A

B

C

C

~~i~~~:if;6lil;Wla 8

1, 6

VCl 169538

C e n te r 61.254

6 o - '6 - - ~ -2- --- - - - - - - - - - - - - --- - - - - - -

A -50 h. ~~ •••••• -rr..... rrr.. Fr...... rr.... ~ .pr..... lCL

~ ~ ~ ~ ~ ~ ~ ~ - 47.031

300

250

200

1 5 0

100

50

0

- 50

MRLlne Chari Range Span:2 Conlrol Lim 115: 3 Sigm a

5 p III By: A p P IIC re a Cell:Charl2

N N M ~ ~ ~ ~

Observation

Inclusion crlterla:Creallon from DataBeverage.svd

~-----------

<D <D <D N

o b s e r II a tic n

<D

'" <D <D <D

U C l 1 33.04 1

Center 40.729

lCl 0

<I>

.§

OC >-

u

.'!'. ~ a.

0

'" c: co

OC

!:: > 0

:>

95

ILlne Chart

Range Span:



Cell:Chart3

Inclusion crlterla:Creatlon from DataBeverage.svd

.~

OC >-

u

~ 0 ~

a.

350

300

250

200

150

100

50

0

"50

M R Line Chart

Range Span:2


Spilt By: A p P I/C rea

Cell:Chart3

'" '" '" '"

Inclusion crlterla:Creation from DataBeverage.svd

300

250

200

1 5 0

100

50

0 u ____ ••• -=;w

·50

'" '" '"

'" Observation

<0 ... o b s e r vat 10 n

... '" ...

'"

1, 5

'" '"

'" '" '" '"

...

UCL 107.959

Center 27.211

UCL 99.209

Center = 30.371

L C L = 0

200

.. 150 E

a:: f- 100

u

!!. 0 50 0..

0

-50

.. E

a:: f-

180 u

~ 160

~ 140 0..

120 0 .. 100 01 c: 80

'" a:: 60 01

40 = >

20 0

::; 0

- 20

96

ILlne Chart

Range Span:2


Split By: A p p IIC rea

Cell:Chart4

Inclusion crlterla:Creatlon from DataBeverage_svd

A

B

C

C

B

A

1, 5

UCL 96.547

C e n te r 27.535

t-----~--------;--:~----;;---;---~-----;----~-----;--- ----------;------------------------1 LCL - 4 1 .477

M R Line Chart

Range Span:2

<0

Control Lim lis: 3 Sigm a


Cell:Chart4

<0

'" <0

'"

Inclusion crllerla:Creallon from DataBeverage.svd

<0

M ...

Observation

<0 ... <0

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Cenler 25.957

LCL 0

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100

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80

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C e n Ie r 28.268

U C L 9 9 34 9

C en te r 30.414

L C L o

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150

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UCL 91.139

Cenler 24.383

2 2 2

- 50 t - - - - - - - - - ,- - - 7 - ,- - - ; -, - - - ~ - - - - ~ - - - - ,- -, - - - - -: - - - - - - ~ - - - - ~ -, - - - - - - - - - - - ; - - - - - - - - - ~ - - - - - - - ; - - - - - -I L C L ·42.373

co .... to ...... co ..... co co

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'" '" '" Observation '" '" .. '"

U C L 82.01 8

Center 25.109

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250

200

1 5 0

1 0 0

36 4 1 46 51 56 61 66 7 1

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UCl 205.284

C e n te r 61.563

U C L 176.579

50 ..I .I. I V wI 1""'1( I \ r ~Center = 54.057

0 .... ------ LCl 0

- 50 6 11 16 21 26 3 1 36 41 46 5 1 56 61 66 7 1

Observation

100

450

400

" E 350

300 a:: f- 250

u 200

.~

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1 ,1 ~1~1~,;; (5,~(Ile 8 ..... UCL 185 614

C e n Ie r 69.62 50

o - 50 3r PI ... ' I; r. [LCL -46.375

" E

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" 350

!: "- 300

o 250

" 0> 200

150 a:: co 100 .S > o :::;

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36

Observation

41 46 5 1 56 61 66 7 1

UCL 142.514

i ,...".. ""'i:. 1: \ " / \/ ..... rt:: ) 1I\;;o;:=-~ ~_ rcenter = 43.629

L C L 0

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U C L 158.109

50

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2

40.254

- 50

300

250

200

1 5 0

100


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16 21 26 3 1

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36 41 46 5 1 56 61 66 7 1

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UCL 1 44.801

50 -1 \.". __ ;/;. :rx / I ~ ~ l I r..::- ICe n Ie r = 44 329

0 LCL 0

- 50 6 11 16 21 26 3 1 36 41 46 5 I 56 61 66 71

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102

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C e n Ie r 36.258

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60

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6 11 18 : 1 26

31 36 4 1 46 51 56 61 66 o b s e rv a tic n

U C L

C e n te r

LCL

3 1 36 41 46 51 56 61 66 o b 5 e r vat io n

1 10 208

33.738

o

103

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400

350

300

250

200

150 A

100 B

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" ~ 350 o ~ 300

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200 '" c:

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31

UCL 174.494

C e n te r 36.775

36 41 46 5 1 56 61 66 7 1

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UCL 169.206

.: > 50 \ ~ I \ I :lo 1\ _ ~,' \ ICenter=51.8 0

::;: 0 ~------ L C L 0

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104

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36 41 46 51 56 61 o b s e r va tlo n

'-2-2_

61 66 71

66 71

UCL 101.69

C e n te r 21.056

UCL 99.069

Center = 30.329

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----------------------. UCL 1 81 .533 u 1 50

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11 16 21 26

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3 1 36 4 1 46 5 1 56 61 66 71

Observation

34.014

UCL 1 8 1 .246

1 50

100

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0 LCL 0

- 50 6 11 16 21 26 3 1 36 4 1 46 5 1 56 61 66 7 1

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120 0

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106

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------------------------bS---~~----------------------- ~UCL 102.49

Center 29.718

t - - - - - - -, - - - ,- - - - :- - - - - - - - - ,- ,- - - - ';' - - - -, - - - - ~ :- - - - -, - - - - - - - - - - - - - - ,- ,- - - - ;- ';' - - - - -, - - - - ,- :- :- -; - - -, -, - - - - - - - t L C L - 43 .054

6 11 16 21 26 31 36 41 46 5 1 56 61 66 7 1

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U C L 69.41

Center 27.371

L C L 0

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107

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400

350

300

250

200

150

100

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Inclusion criteria: Solicited from DalaBeverage.svd 400

350

300

250

200

150

100

50

0

- 5 0 6 11 16 21 26 3 1

36 41 46 5 1 56

Observation

36 41 46 5 1 56

o b s e r vatic n

61 66 71

61 6 & 7 1

UCL 133.933

C e n te r 28 535

U C L 129.495

C e n te r = 3 9 .643

L C L = 0

150

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Observation

UCL 78.823

C e n Ie r 21.282

LCL - 36.26

UCL 70.697

~ \lll"t .,,0< A:f: __ ?{ ~ 1'...... IF\r=r, I-Center=21.643

LCL 0

11 16 21 26 3 1 36 4 1 46 5 1 56 61 66 7 1 Observation

109

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0

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250

200

150

100

50

0

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300

250

200

150

100

50

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UCL 76.465

C e n Ie r 1 9

t - - - - - - - -,-,- -,- - - - - - - - - - -,- ,- -; - -; -; - - -,-,- - -;-;- - - - - - -,-,-; ,- -; - - - - - - - - -;-; 7 - -: - - - - - - - - - - - -: - - - -,- ,- - - - - - - 1 L C L -38.465

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36 o b 5 e r vat io n

41 46 5 1 56

4 1 46 5 1 56

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6 1 66

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UCL 70.604

Cenler=21.614 L C L = 0

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1 8 0

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140

120

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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -. U C L 133.759

C e n Ie r 31 .324

36 41 46 51 56 61 66 71

Observation

--------------------------------------------1 UCL 125.855

40 -l "'" , V, 1 _ r- \ /\ f -.- WPIIIf ......... \ tCenler = 38.529

20

0 L C L 0

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180

1 60

1 40

120

1 0 0

80

60

40

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- 20 6 11 16 21 26 31

UCL 105.291

C e n Ie r 25 .493

36 41 46 51 56 61 66 71

Observation

U C L 98.043

Center 30.014

L C L. 0

36 4 1 46 5 1 56 ~ 1 66 71

Observation

112

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---------------------------~-------------------------- ---l UCL

C en te r

81.428

24.38

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160

140

120

100

80

60

40

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Observation

L C L -32.667

-----------------------------~-~--------------------------------------------------------~ UCL 70.09

-l ~\ .' \ ~ I If!!' "''!''f: ~ ~I\"IP 111\ ~ I-tl {_ ......, .~\_ • • ~ru--\ y\({ ...... --.Center=21457

LCL 0

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113

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UCL 63.503

Center 17.394

L C L ·26.715

36 41 46 51 56 61 66 7 1

o b s e r vat 10 n

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LCL o

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- -- - - -~ - - -- -...-.::--. --.. -.- _ .. - - - -- - - -.;; -.r-: ..... ~~- - _ ~ __________________________________________________ : ___ ~~_:_=~3: _______________________ _ A

UCL 82.514

C e n Ie r 21.972

r - - - - - -, - - - - - - - - - - - ~ - - - - - ,- - - - : : - - - - -,- ,- - - - - - - - - - - -,- - - - : ~ ~ - -, - -,- ~ ~ - - - ~ -, -, - - - - - - - - - - - -, -, - - - - - - - - 1 L C L ·38.57


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In e lu s 10 n e r It e ria: S a lie II e d fr am D a I aBe v. rag e .s v d

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36

Observation

41 46 51 56 6 1 66 71

UCL 74.384

C e n te r 22.77 1

LCL o

4 1 46 E 1 56 61 66 71

115

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Range Span:2

6 11

Con I r 0 I Lim 115: 3 S I 9 m a


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16 21 26 3 1


36 41 46 51 56 61 66 71

Observation

U C L 72.698

C en te r 16.676

L C L -39.346

U C L 68 .83

co .E

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L C L 0

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116

100

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UCL 71.042

Center 17.451

lCl - 36.1 4 1

36 41 46 51 56 61 66 7 1 Observation

UCl 65.844

II: 20 "" "" I I I \I 11'1 ~', , .. I ..... ~ I!!L 'J _, ~ ICe n Ie r 20 1 5 7

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o

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36 4 1 46 5 1 56 61 66 7 1

Observation

117

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1 6

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21 26

UCL 7 1 .978

C e n te r 1 8.607

L C L -34.763

UCL 65.573

'" 2 0 " '\ / " \ I' '" J'- \ lee n te r 20.074 S

10

:::> o

-10 6 11 16

Observation

2 1 26

L C L o

Appendix 10

Control Charts for the Median Approach

Bakery BU

Bakery BU Page number

All Projects 120


Collection projects




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120

250

200

150

100

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a

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Range Span:2

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6 11

Control Lim Its: 3 Sigm a Spilt By:Chart Num ber

Celi:Chart1

------~

6 11

Bakery BU - All Projects

UCL 1 1 6.132

C e n Ie r 1 1

16 21 26 31 36 41 46 51 56 61 66 71

Observation

UCL 129.168

Center 39.543

LCL 0

16 21 26 31 36 41 46 51 56 61 66 71

o b s e r vat io n

150

125

., 100 .s

C( 75 f-

" 50 .!!!. 0

0-25

0

-25

-50

., S C( 90 f-

80

" .!!!. 70 0

0- 60

0 50 ., CI 40 c C1I 30

C(

CI 20 ." > 1 0 0 ::;;

0

-10

121

I Line CharI Range Span:2 C e nle r Line: Spe clfle d Conlrol Lim lIs: 3 Sigm a S p iiI By: C hart N u m be r Cell:Chart2

A

Bakery BU - All Projects

UCL=81.916

B

C 1 ~ =-' \\. I ~ / 'rJ \ I \ C / \ r \ rCenter=21.5

B

A LCL -38.916

~ ____ ~ __ ~~~~~~~~ __ ~~~~ __ ~~~ __ ~~~ __ ~~~~ __ ~~~~ __ ~~~ __ ~ ____ -L


MRLlneChart Range Span:2 Conlrol Lim lIs: 3 Sigm a Splil By: CharI Num ber Cell:Charl2

~------------------------------ UCL 74.229

" , _ "'" 7' [Center = 22.724

LCL 0

<0 <0 <0

N N

Observation

122

150

125

'" § 100

a: 75 >-

u 50 .~

~ 25 "-

a

-25

ILlne Chart

Range Span:2



Inclusion crlterla:Applicatlon from DATABAK.SVD

A

B

C

C

B

A

UCL 81 .532

C e n te r 1 9

-5 a t-----------~-;-----;------;--------;--------------;~-----~----------------;---:-------1 LCL -43.532

6 11 16 21 26 31 36 41 46 51 a b s e r val io n

M R Line Chart

'" Range Span:2 § Control Lim Its: 3 Sigm a

a: Inclusion crlterla:Application from DATABAK.SVD >- 1 2 a u .~ 100 0

"- 80 UCL 76.829 0 ., 60 Ol c .. 40 a: Ol

20 .~ C en Ie r 23.52

> 0

a ::;: LCL a

-2 a 6 11 16 21 26 31 36 41 46 51

a b s e r val io n

123

(lJ

E .-

a:: f-

0

~

~ 0-

(lJ

E

a:: f-

0 (lJ

0

0-

0

(lJ

C> c

a::

'" .!:: > o

:::;:

300

250

200

150

100

50

0

-50

250

200

150

100

50

o

- 50

I Line Chart

Range Span: 2

Center Line: Specified


Inclusion crlterla:Creation from DATABAK.SVD

C

UCL 132.323

j ____ ~~... /" .c==__e.. • C ~....- _ -- .........-=--.'W(~ tcenter = 18

M R Line Chart

Range Span: 2


6 11

Inclusion crlterla:Creatlon from DATABAK.SVD

o b 5 e r v a tio n 16 21 26

UCL 140.461

1 _ ........ / '\ ... r C en te r = 43

LCL 0

6 11 16 21 26 o b 5 e rv a tio n

124

Q)

.~

a:: f-

u .~

~ a.

Q)

E

a:: f-

u Q)

0

a.

0

Q)

co c:

'" a::

150

125

100

75

50

ILlneChart

Range Span:2



Inclusion crlterla:Proactlve from DATABAK.SVD

A

B

C

UCL 101 .961

25 i ...... 7-< .. ,.,.......... c:: '" ') "I , • \ ....... ( \ I - ~ l. / \ t- C e n te r = 21

0

-25

- 50

140

120

100

80

60

40

C

B

MRLlneChart

Range Span:2

6

Control Lim Its:3 Sigm a Inclusion crlterla:Proactlve from

11

DATABAK.SVD

16 Observation

21 26 31

UCL 99.471

co • 7[), 7/ \ • \ / ~ Center = 30.452 c:

> 20 0

:::;; 0 LCL 0

-20 6 11 16 21 26 31

o b s e rv a tio n

'" .~

a: f-

u

~

~ a.

., ~

a: f-

u

!!O ~ a.

0

a:

= > 0

:::;

125

300

250

200

1 50

100

50

0

- 50

250

200

1 50

100

50

0

ILlne Chart

Range Span:2



Inclusion crlterla:Sollclted from DATABAK.SVD

, ti~~ l' t~ --- on· '''"' ::::::::~::~: ~:~::::::::A7\::;::::~:~:~::n:~:::::1 C - •••••• -_..... ~ ....... ~ Center= 11

6 11

M R Line Chart

Range Span:2

Controilim It5:3 Sigm a

16 21 26

Inclusion crlterla:Sollclted from DATABAK.SVD

31 36 o b s e r va tio n

4 1 46 51 56 61 66

UCl 1 24.1 28

Center 38

l C l 0

- 50 6 11 16 21 26 3 1 36 4 1 46 5 1 56 61 66

o b s e r vat io n

Appendix 11

Control Charts for the 10% Trimmed Mean Approach

Confectionery BU

Confectionery BU Page number

All Projects 128

Application proj ects 134





300

'" 250

§ 200

a: f--

1 50 0

~

~ 100

a. 50

o

- 50

'" E

a: f--

200 0

.~ 175

~ a. 1 50

0 125

'" 1 0 0

a: 7 5

'" 50 .: > 25 0

~ 0

- 25

128

I Line CharI

Range Span:2 C e nle r Line: Spe elfle d


Spill By: C h a r I N u m b e r

Cell:Charl1

A

Confectionery BU - All Projects Control Limits Calculated using 10% Trimmed Mean

UCl 107.997

20.526 r -~~ \ C - .. --- • • •• ~ -~ -- \ --B- - - - - - - - -~ - - _.r.o __ - - J>..,"' __ ~ N _~ __ ~ _______ ~ _)It __ ..... ~~_ ~ ~ ~ _____ ~ Center 6


6 11

Control Lim Its: 3 Sigm a Spill By:Chart Num ber Cell:Chart1

6 11

16 21

16 2 1

26 3 1 36 41

o b s e r vat io n

26 3 1 36 41

o b 5 e rv a tio n

46 5 1 56 61 66 7 1

UCl 107,469

Center 32.9

L C l 0

46 51 56 61 66 7 1

E

~ f-

u

~

~ n.

0

Q)

'" Ct:

'" .!; > 0

::!:

129

300

Q) 250

§ 200

Ct: f-

150 u

~

~ 100

n. 50

o

- 50

250

225

200

1 75

150

1 2 5

1 0 0

7 5

50

ILlne Chart

Range Span:2



SplllBy:ChartNum ber

Cell:Charl2


1 , 5

11

C onlrol Lim 115: 3 Sigm a

Spill By: C h a r I N u m be r Cell:Chart2


UCL 88.084

Cenler 14.439

16 21 26 3 1 36 41 46 5 1 56 61 66 7 1

o bs erv atio n

UCL 90.483

25 -I I _ :/:.'/\/ ' ... \ I il 'I ~ _ -=- 1 { :± l I-Cenler = 27.7

0 LCL 0

-25 6 11 16 21 26 3 1 36 4 1 46 51 56 61 66 71

Observation

Q)

E

c:: f--

0

.~

~ Q.

0

cu

'" c

c::

'" c .-> 0 ::;;

130

350

300 Q)

E 250

c:: f-- 200

0 150

.~ 0

Q. 100

50

0

- 50

350

300

250

200

150

100

I Line Chart

Range Span:2

C e nte r Line: Spe clfle d



Cell:Chart3

A

B

C


~--------~-~-------------------------------------- -------

MRLlneChart

Range Span:2

6 11

Control Lim Its: 3 Sigm a Spilt By: Chart Num be r

Cell:Chart3

16 21 26 31 36 41 46 51

Observation

UCL 134 123

C e n te r 21.281

--------------------56 61 66 71

UCL 138.641

50 1 / \ I \ ,. \ ___ =- ~ f ""'\ ..... ~ iCe n te r = 42.4 4 3

0 LCL 0

-50 6 11 16 21 26 31 36 41 46 51 56 61 66 7 1

o b s e r vatic n

300

.. 250

§ 200

cr I-

150 0

.~

~ 100

0-

50

0

- 50

.. §

cr I-

300 0

.~ 250 0

0-

200 0

., 1 50

'" cr 100

'" c: 50 > 0

:::;: 0

-50

131

ILlne Chart

Range Span:2


ControlLlm Ito:3 Sigm a


Cell:Chart4


-~------------------------------------------------------------

--------------------------------------------------------------------------------------6 11 16 21 26 31 36 41 46 51 56 61 66 7 1

o b s e r vatic n

M R Line C h art

Range Span:2

ControlLlmlto:3 S Ig m a Spilt By:Chart Num ber

Cell:Chart4

UCL 93.1 83

C e n te r 15.246

"'1- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -1- -1- - - - - - .. - - - 1 - - t- - - - - - , U C L 95.756

29 3 1 4

6 11 1 6 21 26 3 1 36 4 1 46 51 56 61 66 71

o b 5 e r vat io n

300

" 250

E 200

cr: f--

- 150

" .!!!. ~ 100

Il.

50

o

-50

" E

cr: f--

225

" !!!. 200 0 ~ 1 75 Il.

1 50 0

" 1 25

'" 1 0 0

cr: 7 5

'" .~ 5 0

> 0 25 ::;

0

- 25

132

ILlne Chart

Range Span:2




Cell:Chart5

Confectionery BU - All Projects Control Limits Calculated using \0% Trimmed Mean

if -------,- -,-----1 t - - - - - - - -, ~- - - - - - - - - - - t 1 - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -= ---------, OCC 129.15

11

M R Line Chart

Range Span:2



Cell:Chart5

6 11

16 21

16 21

26 3 1 36 41

o b s e r vat io n

26 3 1 3 6 4 1

o b 5 e r vat io n

C e n te r 27 474

46 51 56 61 66 71

UCL 124.922

Center 38.243

LCL o

46 5 1 56 6 1 66 7 1

133

§

II: ...

!.

a.

E

II: ... u . o

a.

o

II:

> o ::;

1 00

75

50

25

0

- 25

- 50

20

00

80

6 0

40

20

- 20

ILlne Chart

Range Span:

C • n t. r Lin" : S p. c If I. d ControlLlm Its:3 Sigm a

SplllBy:CharlNum ber Cell:Charl6

A

B

C

C

B

A


U C L

C e n Ie r

--------------------------------------------------------------------------------------1 LCL

MRLlnoCharl Range Span:2 ControlLlm Ite:3 81gm II

5 pili By: C h a r I N u m be r

Cell:Charl6


26 3 1 3 6 41

------------------------------------------------------------1 UCL

72.995

1 9 3 8 9

- 34 2 1 7

65.662

{\ 0 ( ). {\ ( ). .. '" ,\. ;, ) <} _ J 'r...... _ _ j , ... ;r '< / \ riC e n Ie r 20 1 63

L C L 0

11 16 2 1 26 3 1 3 6 4 1

a b s e r vat io n

300

II> 250

§ 200

OC >-

150 0

~

~ 100

a. 50

0

- 50

300

250 §

0:: 200

>-1 50

.!1. 1 00

Il.

50

- 50

134

ILlne Chart Range Span:2 Center Line: Specified Control Lim Its: 3 Sigm a Spilt By: A p P IIC rea Cell:Chart1 Inclusion crlterla:Appllcatlon from DataConfectlonery.5vd

~ - - - - - - - - - - - - 411'""~~~-_ - - - - - .---. - ~ - - - ~- - - - -.-. - -~ - - - --~ - - ~ - _.-.;;. -..- - - - ~ 'Z z - - -~---------------------------------------------------------------------------------------

UCL 79.216

C en te r 16.737

h •• II ," .. ,. " ., ... 'liP' ,. • ,. ,. e, " ",', ,c p.,,.,.., .... ',',' .- .- p ., ., II II " ,. , • 'II II .. .- • " P' .. ,. ,. .. eo " •••• ' L C L - 45 .742


6 11

C e n Ie r Lin 0 : S poe If Ie d ConlrolLlm IIs:3 Sigm a Spilt By: A p P IIC re a Cell:Charl2

16 21 26 31 36

Observation

Inclusion crlterla:Applicatlon from OataConfectlonery.svd

~-------------------------------------------

41 46 51 56 61 66

1 , 5 , 6

c. _____ ~_ ~ _ -__ ~ ___ -:- _ ~ ___ ~ _ ~ ____ -_~ _____ ~ __ ~ _______ ~~ ____________ _ B

71

_______________________________________________________________ r _______________________ _

6 11 16 21 26 3 1 3 6 4 1 46 5 1 56 6 1 66 7 1 o b 5 e r v a tio n

UCL 1 1 2 208

C en te r 21.053

., E

oc >-

u

.~ 0

c-

135

150

100

I Line Chart

Range Span: 2



Split By: Appl/Crea

Cell:Chart3

Inclusion crlterla:Applicatlon from DataConfectionery.svd

"j O B

UCL 80.903

Center 21.917

~----------------------------------------------------- __________________________________ 1 LCL -37.069 -50

6 11 16 21

Observation

26 31 36 41

350

300 ., .S 250

OC I- 200

u 150 .!!!. 0 ~

0.. 100

50

a

-5 a

136

ILlne Chari

Range Span:2 Cenler Line: Specified

Con I r 0 I Lim It s : 3 S I g m a


Cell:Charl1 Inclusion crllerla:Collecllon from DalaConfecllonery.5vd

A

B

C

1 , 5

~------------~---------------------------------------- -------------------------------6 11 16 21 26 31 36 41 46 51 56 61 66 71 76

o b s e rv a lio n

UCL 120.285

C e n Ie r 16.492

., ~

cr t-

o ~

~ 0..

§

a: .... u

~

a.

137

250

200

150

100

50

I Line Chart

Range Span:2

Center Llne:Speclfled Control Lim Its: 3 Sigm a

Spilt By: A p P IIC re a

Cell:Chart1 Inclusion criteria: Creation from DataConfectlonery.svd

A

c

1 . 5

UCl 136.559

C e n te r 24.667

o -t C

- 50

200

7 5

1 50

2 5

100

75

50

25

0

·26

·50

B

ILlne Chart

Rang. Span:

6 11


ControlLim Its:3 Sigm a

Spilt By:Appl/Crea

Cell:Chart2

16 21 26 31 36

Observation

In clu a 10 n crlta ria: era atlo n fro m Delae 0 nfa ctlo n 8 ry.s vd

41 46 51 56 61 66 71

• ... - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -I U C L A

B

-I C JIIJ' \ ::.l. ' I "c:>at l " 2< "iIIIIIIO 7'= r- C e n te r \ _ \ r ,,/ /

C

~----------------------------------------------------------------------------------------

9 4 6 8 4

2 2 9

LA ~ LCL .48884

11 1 6 2 1 2 6 3 1 3 6

Observation

350

300

'" E 250

a: 200 f-

u 150 .'!'. 0 ~ 100 n.

50

0

-50

138

ILlne Chart Range Span:2 Center Llne:Speclfled Con t r 0 I Lim It 5 : 3 S I g m a

Split By: Pro/Sollct Cell:Chart1 Inclusion criteria: Proactive from DataConfectlonery.5vd

A

B

C

1. 5

c ~-- -~ ~ ~.,_ ..,_.,- ............... --------------~r------------------------------------~- -----------------~---~-------------

6 11 16 21 26 31 36 41 46 51 56 61 66 71 76 81

Observation

UCL 132.715

C e n te r 22

350

300 Q)

§ 250

OC >- 200

u 150 ,~ 0 ~ 100 (l.

50

0

·50

400

Q) 350

E 300

a: >- 250

2 00

.oa ~

1 5 a a. 1 a a

50

0

,50

139

I Line Chart Range Span:2 Center Line: Specified Control Lim Its: 3 Sigm a Spilt By: Pro/Sollct Cell:Chart1 Inclusion criteria: Solicited from DataConfectlonery.svd

1 , 5, 6

~~---------------~---------------------

C

B

ILlneCha't Range Span:2

6 11

Cente, Llne:Speelfled ControlLlm Its:3 Sigm a


Cell:Chart2


Inclusion criteria: Solicited from DataConfectionery.svd

11 1 6 2 1 26 3 1 36

o b s e r \I a t io n

41 46

4 1 46

-------- UCL 121.799

C e n te r 20.579

51 56 61 66 71

1 , 5

UCL 1 25 ,85

C en te r 1 9.579

5 1 5 6 61 6 6 7 1

140

., E

a: I-

o ., o

Cl.

E

<>: I-

!!. 0

0..

100

50

o

-50

300

250

200

1 50

1 00

50

0

- 50

ILlne Chari

Range Span:2

Cenler Line: Specified

Con I r 0 I L 1m Its: 3 S Ig m a

Spill By: Pro/Solicl

Celi:Chart3

Inclusion crllerla: Solicited from DataConfecllonery.svd

A

B

C

C

B

A

ILlne Chari Rango Span:

6 11

Con I. r Lin 0: S p. e Iflo d Con I r 0 I L 1m It 5 : 3 S Ig m a Sp lit By: Pro/So lIet ColI:Chart4

16 21 26 31 36

Observation

Inclusion erlterla:Solieltod from OataConfeetlonery.svd

C

B

11 1 6 21 26 3 1 36

o b s e r vat io n

U CL 59.478

C e n Ie r 13.825

lCl - 31.828

41 46 51 56 61 66 71

UCL 122.772

Cell te r 24.439

4 1 46 5 1 56 6 1 66 71

141

100

'" §

a: 50

ILlneChart Range Span:2 Center Line: Specified Control Lim Its: 3 Sigm a Spilt By:Pro/Sollct Cell:Chart5 Inclusion criteria: Solicited from DataConfectlonery.svd

A UCL

>- I B

u C .~ C e n Ie r o c (l. o B

~---------------------------------------------------------------------------------------~LCL -50

6 11 16 21 26

Observation

63.226

18.773

-25.68

Appendix 12

Control Charts for the Resampled Data's Mean

DairyBU

Dairy BU Page number

All Proj ects 144



Creation proj ects 150



.§

'" .... u

.!!. ~ Q.

144

E

'" .... u

.!!. o

Q.

450

350

250

1 50

50

ILln. Cha,l

Rang. Span: C • n I. , Lin. : S p. c If I. d Conl,ol Lim lis: 3 Sigm a Spill By:Cha,1 Num b., C.II:Cha,11

---------------------

Dairy BU - All Projects Control Limits Calculated using Resamoled Data's Mean

---------------------------------------- =:: :~~ -:-: ~~::: ~-::~::::::: =--= :-:-:-=-:-:::: ~:~ :-=-=~:: =-=::-=::::::-: ~::""':':::: ~:-:-:::-:::::::

UCL = 61.386

Cente, = 18.645

LCL = -24.096 - 50

6 11 16 21 26 3 1 3 6 41 46 51 56 61 66 71 Observation

I Lin e C h a, I Ran g • Span:2 Cenle, Lln.:Speclfled

Con I' 0 I L 1m II. : 3 S I g m a Spill By: C h • ,I N u m be,

C.II:Cha,12 200

1 75

1 50

1 2 5

100

75 UCL 61.386

50

25

0 16 .. u-..4~ ~ r-, '-'::;

A- - - - - - ___ - - ? ~ - __ - I '\ _ --------.v_ .~--~----1:---~-:Jt-~--U-~-d-d<:O-----[center 18.645

- 25 LCL -24.096

- 50 11 16 2 1 26 3 1 36 4 1 46 5 1 56 61 66 71

o b 5 e r vat io n

3 0 0

2 5 0 §

200 cr: ....

1 5 0

.!!. 0 1 00

a. 50

- 50

75

§ 50

cr: ....

2 5

.!!.

0 a.

- 25

- 50

145

ILln. Chari

Rang. Span: Conter Lln.:Sp.clfl.d

ConlrolLlm Its:3 Sigm a

Spill By: C h a r I N u m b. r C.II:CharI3

ILln. Chari Range Span:2

6 11

Conlor Lin.: Specified Conlrol Lim lis: 3 Sigm a

5 pili By: C h a r I N u m b 0 r C.II:CharI4

A

C

C

1 6 21

Dairy BU - All Projects Control Limits Calculated using Resamoled Data's Mean

26 31 36 41 46 5 1 56 61 66 71

o b 5 e r vat io n

1 , 6

6

~-----------------------------------~-~--------~-------------------------------------~-------------------------------------------------------------------------------------

11 1 6 2 1 26 31 36 41 46 5 1 56 61 66 71 Observation

UCL 61.386

Center 18.645

LCL -24.096

UCL 61 .386

C en te r 1 8.645

L C L -24.096

146

175

1 5 a E

1 25

IX: a a >-

u 7 5

!. 5 a

a. 25

a

- 25

- 5 a

1 a a

~

E 75

IX: >-

a.

5 a

2 5

a

- 2 5

- 5 a

ILln.Chart Range Span: c. n t. r L In a: S p. c Ifl. d ControlLlm It.:3 81gm a

Spilt By:Chart Num bor

Coll:Chart5

1 1. 5

Dairy BU - All Projects Control Limits Calculated using Resampled Data's Mean

U C L 6 1 .3 8 6

C e n te r 1 8 645

-s- - - - --A- - - - - - - - - - - -~- - - - .. l! l! :z ;i'e- & - ~ - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - ~ - - -6- -It- - - - - - - - - - - - - - - - - - - - - - - - -

ILlneChart

Range Span

11

C e n te r lin a: 5 p. c iff. d ControlLlm It.:3 Sigm a

Spilt By: Chart Num bar

Coll:Chart6

1 6 21 26 3 1 3 6

Observation

41 46 51 56 6 1 66 71

L C L

--------------------------------------------------------------------------rUCL A

B

C C e n te r C_ _ _ _ _ __ •

~------------------------------------------------------------------------------------~-------------------------------------------------------------------------------------~LCL

11 1 6 21

o b s e r vat io n

-24.096

6 1 .3 8 6

1 8 645

-24 096

E

'" ... -<.>

.!!. 0

Q.

147

§

'" ... <.>

.!!. o

Q.

150

100

50

o

ILln. Chari Rang. Span:2 C • n I. r Lin. : S p • c If I. d Can I, a I L 1m lis: 3 S Ig m a Spill By: A p p IIC ,. a C.II:CharI1 Inclusion crllorla:Applicallon from OalaOalry.svd

A

B

C

C

B

A

-------- ______________________________ 1 UCL

C en te'

-----------------------------------------------------------------------------------1 LCL

1 00

-50

ILln. Chari Rang. Span:2 C. n I. r Lin 0 : S p. c If I. d C ont,ol Lim Its: 3 Sigm a Spill By: A p P IIC r. a C.II:Chart2

11 1 6 21 26

Inclusion crltorla:Applicallon from OalaOalry.svd

3 1 36 41 46 51 5 6 61 66 71 Observation

72.795

1 7.664

-37.467

'"~ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - r UCL 72.795

A ~ I ,.",,, ~ " .... ~ )u'~::l C " .. " I'\r· ••• ~/~ ~ nA 1t f

::1 L 11"'~ 0

B -----------------------------------------------------------------------------------~----------------------------------------------------------------------------------1 LCL -37.467

·50 11 16 21 26 31 36 41 46 51 56 61 66 71

o b s e r vat io n

148

'" .~

a:: >-

u

.!!!, o a.

200

150

100

50

o

- 5 0


Center Line: Specified ControlLlm Its:3 Sigm a

Spilt By:Appl/Crea

Cell:Chart3 Inclusion crlterla:Applicatlon from DataDalry.svd

A-----------------------------------------------------------------------------------~ ______ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-----L

6 11 16 21

Observation

26 3 1 36 41 46

UCL 72.795

C e n te r 17.664

LCL -37.467

1 50

., E

100

0:: I-

u 50

.~

~ a..

0

-50

149

ILlne Chari Range Span:2 Cenler Llne:Speclfled Con I r 0 I L 1m Its : 3 5 Ig m a 5 p III By: A p P IIC rea Cell:Charl1 Inclusion crllerla:Collecllon from DalaDalry.svd

6 1 1 16 21 26 3 1 36

Observation

UCL 51 .696

C e n te r 1 2.948

LCL - 25.8

41 46 51 56 61 66 71

200

<I>

§ 1 50

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UCL

C en te ,

36 4 1 46 5 1 56 6 1 66

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B

--------~-------------------------------------------------------C

C e n te r

C - - - - -- - -- - ------- -- --- ---~ -~ ---~ ::-:---- - -~ B ----------------------------------------------------------------------------------------

11 1 6 o b s e r vatic n

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§ 200

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A

B

C

C

B

1 . 5

---------------------------------------------------------------------------------------

ILln. Chari Range Span:2

6 11

Con Ie r Lin 0 : S pee if I. d ConlrolLlm Ils:3 Sigm a Split By: Pro/Soliet Cell:Charl2

1 6 21 26

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3 1 36 41 4 6 5 1 56 6 1 66 71 o b 5 e r vat io n

----------------------------------------------------A

B

5

UCL 104.096

C en te r 25.379

UCL 104.096

C • ~-' J "'- e.J. ~ 4I\?-c:- I Center Ic V ~ __ • • ___ _ 25,379

~~~~~~~~~~~:---------------------------------------------------------------------------~-------------------------------------------------------------------------------------- L C L -53.338

6 11 1 6 2 1 26 3 1 3 6 4 1

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o ~==== ________ ~ ___________ J ____________________________ _______________________________ _

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U C L 58.876

C en te r 1 3.738

L C L ·31 .4

UCL 5 8 B 7 6

C en te r 1 3 .7 3 8

L C L - 3 1 .4

Appendix 13

Control Charts for the 1/1000 Probability Limits

Beverage BU

Beverage BU Page number

All Proj ects 156






400

350 Q)

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Cell:Chart1

Beverage BU - All Projects Control Limits Calculated using Probability Limits 111000

UCL

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Beverage BU - All Projects Control Limits Calculated using Probability Limits 1/1000

----------------------------------------------------~ UCL 179.229

-I _ Jt ',,.(1\ " /\ I V \ A /\ _ ~Center = 53.465

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to

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Beverage BU - All Projects Control Limits Calculated using Probability Limits 1/1000

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Beverage BU - All Projects Control Limits Calculated using Probability Limits 111000

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400

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Observation

UCL 1 1 1.245

C e n te r 21 .056

36 41 46 51 56 61 6G 7 1

Observation

200

" § 150

n: t- 100 u

.!. ~ 50

11.

0

·50

178

ILlne Chari

Range Span:2

Conlrol Lim Ils:Alpha

S p II t By: Pro /S 0 II c I

Cell:Charl3

.001

Inclusion crllerla:Solicited from DalaBeverage.svd

ILlne Chari

Range Span:2



Cell:Chart4

11

.001

16 21 26 31

Inclusion crllerla:Sollclted from DalaBeverage.svd

-------

36

Observation

UCL 1 95.3 1 2

C e n te r 34 .01 4

41 46 51 56 61 66 71

UCL 106.785

C e n Ie r 29.7 1 ~

L........... ppp •• ~..... PPP •• ~~ ····-P ••• ~~ Fr.'. PP.'. 'cp" 4 LCL ·47 348

6 11 1 6 21 26 3 1 36 4 1 46 5 1 56 61 66 71

Observation

400

350 .. § 300

a:: 250 f-

200 " .. - 150 ~

Q. 100

50

0

- 50

§ 100

a:: f-

" 50 .~ 0

Q.

0

- 50

179

Illne CharI

Range Span:2

Conlroilim Ils:Alpha = .001


Cell:Charl5


Illne Chart

Range Span:2

6

Conlroilim ils:Alpha Spill By: Pro/Sollel

Cell:Charl6

11

.001

16 21 26 31

Inclusion crlleria:Sollclled from DalaBeverage.svd

36

o b s e r vatic n

UCL 149.05

Center 28.535

4 1 46 51 56 6 1 66 71

U C L 83.976

C e n te r 21.282

---------------------------------------------------------------------------------------1 LCL -41.413 , 6 11 16 21 26 3 1 36 41 46 5 1 56 61 66 7 1

Obs&rvation

300

'" 250

E

200 a: f-

150 u

~

~ 100

Il.

50

0

·50

250

'" 200 §

a: 1 50 f-

u 100

.~

~ Il. 50

0

·50

180

I Line Chart

Range Span:



Cell:Chart7

.001


U C L 79.6 1 2

Center 19

t - - - - - - -, -, -, - -, - - - - - ;- - - - - - - - - ,- ,- - - - - - - - -, - - - ,- - - - - - - - - - - - - - - ,- - - - - - - -; - -, - - - - ,- ,- ;- ;- - - - - -, -, -, - ,- - - - - - - - 1 L C L ·41.612

6


11



Cell:Chart8

16

.001

21 26 3 1 36 41

Observation


6 11 16 21 26 3 1 36 41

Observation

46 51 56 61 66 71

U C L 155.672

C e n te r 3 1 324

46 5 1 56 61 66 7 1

200

'" E 1 5 0

II:: >- 100

u .!!!. ~ 50 0..

0

- 50

150

'" ~

a: 100 >-

u

'" .- 50 ~ 0..

a

- 5 0

181

(Line Chart

Range Span:2


Split By: Pro/Sollct Cell:Chart9

.001



6

Control Lim Its:Alpha Spilt By: Pro/Solie!

Cell:Chartl0

11 16 21 26 3 1

.001


UCL 106975

Cenler 25.493

36 41 46 51 56 61 66 71

o b s e r vallo n

UCL 91 .699

C e n te r 24.38

t - - - - - - - - -, - -, - - - - - - - "7 -, - - - - - - - - ~ ~ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -, - - - - - - - - - -; - - - - - - ,- - - - - - - - 1 L C L ·42 938

6 11 16 21 26 3 1 36 41 46 51 56 61 66 71

o b s e r vat io n

182

" E

100

C( 50 .... ()

" o

0.. 0

- 50

100

E

C(

.... 50

()

" ~ 0..

0

- 50

ILlne Chart Range Span:2 Control Lim Its:Alpha

Split By: Pro/Sollct Cell:Chart11

.001

Inclusion crlterla:Sollclted from DataBeverage.5vd

UCL 72.632

C e n te r 1 7 .394


6 11

ConlrolLlm Its:Alpha Split By: Pro/Sollcl Cell:Chart12

16 21 26 31

.001

Inclusion crlterla:Sollclted from DataBeverage.5vd

LCL

36 41 46 51 56 61 66 71

o b s e r vat io n

_________________________________________________ 1 UCL

C e n te r

L sa • , , ••• sa .. • • p p • ,. ,. p • ,. II .. , p • • .. .. • • ,. p • ,. .. " Ie ••• P 'P ,. ,. L C L

6 11 16 21 26 3 1 36 41 46 51 56 61 66 71

o b s e r vat io n

-37.843

92.456

2 1 972

- 48.5 1 3

183

E 100

a:: f-

u 50 ~ o

0..

o

-50

E 50

a:: f-

u .~ o

0.. o

- 50

ILlne Chart

Range Span:



Cell:Chart13

.0 0 1

Inclusion criteria: Solicited from OataBeverage.svd

UCL 72.789

C e n Ie r 16.676

LCL -39.437 ~----~~--~~~~~~~~~~~~~~~~~--~~~~~~~~~~~~~~~~~~~~~~~~----~

ILlne Chart

Range Span:2

ControlLlm Ils:Alpha

Spill By: Pro/Sollct

Cell:Chart14

.001

'" N M. ~ ~ ~ m ~

o b 5 e r vatic n

Inclusion crlterla:Sollclted from OataBeverage.svd

r--

---------------------------------------------------------------------------------------

<0 <0 ~

'" o b 5 e r vat io n

~

'" <0

~

UCL 68.148

C e n Ie r 1 7.45 1

L C L -33.246

100

Q)

§

cr: 50 >-

u Q) .-0 ~

c.. 0

-50

184

Illne Chart Range Span: 2 Controilim Its:Alpha Split By: Pro/Sollct Cell:Chart15

.001


:=::;:>' -"'- J-<. -- '" . " -'" , \ I

UCl 79.412

\ ) « \ )

, , \ ) - > , ,

'( ) ( ICe n Ie r 18.607

~--------~--~~--~--~--~--~--r-~--~--~--~--~--r-__ ---r--~--__ --~--r-__ ---r--~--__ --~--r-__ ---T ________ -LLCL

-42.197 co co

Observation N

co N

Appendix 14

Control Charts for the Exponential Limits Approach

Confectionery BU

Confectionery BU Page number

All Proj ects 187






300

250 ., §

200 a:: >-

150 u

.~ 100 0

n. 50

a

-5 a

300

Q) 250

§ 200

a:: f-

1 5 0 u .~ 0 100

"-50

0

- 50

187

I Line CharI

Range Span:2 U C L: S p e c If Ie d

L C L: S p e c If Ie d Spill By: C h art N u m be r Cell:Charl1

ILlne Chart Range Span:2 UCL:Speclfled LCL: Specified

6 11

Split By: C hart N u m be r Cell:Chart2

16

Confectionery BU - All Projects Control Limits Calculated using EXDonential Limits

UCL 228

C e n Ie r 3 3 .1 55

LCL .04

21 26 31 36 41 46 51 56 61 66 71

o b s e r va tio n

--------------------------------------------------------------1 UCL 1 66

1 .W~\ ~~ ~~ .~ r-·~ ~~.. tcenter=23.803 -- - - - -- -... - -- - - -- - -- - - T_: _ _ __ .. ~ -- _ -- - C ~ ---- ---- L C L = 02

6 11 16 21 26 31 36 41 46 51 5 U 61 66 7 1

o b 5 e r vat io n

Q)

§

a:: I-

u

'!!. 0 ~

0..

Q)

.§

a:: I--u

~ 0

0..

188

350

300

250

200

150

100

50

0

- 50

300

250

200

150

100

50

0

- 50

I Line Chart

Range Span:2

U C L : S pee If Ie d

LCL:Speclfled


Cell:Chart3

to

ILlne Chart

Range Span:2

UCL: Specified

LCL:Speclfled


Cell:Chart4

<0

to

to

N

N

to N

CD

N

Confectionery BU - All Projects Control Limits Calculated using EXDonential Limits

CD

<'l <'l ".

Observation

co <'l <'l

Observation

CD

".

co

'"

'"

to

'"

CD

'"

CD

co

to CD

CD

co

""

r-

UCL 235

C e n te r = 34.099

LCL = .04

U C L 159

Center = 22.577 LCL = .02

300

250 Q)

§ 200

a:: I-- 150 u

~ 100

~ "-

5 0

0

• 5 0

1 S 0 Q)

§

a:: 100 I-

u .. '- SO 0

Q.

0

·50

189

I Line Chart

Range Span:2

UC L: Spe cille d

LCL:Speclfled

Split By: Chart Num be r

Cell:ChartS

Confectionery BU - All Projects Control Limits Calculated using Exponential Limits

UCL 284

1 ~.I' '" _ 7"""""""'" I I • r= ;. _ • _ 1\ rCenter = 40.662

co

ILlne Chart

Range Span:2 UCL:Specllled

LCL:Specllled Split By: C h art N u m be r

Cell:Chart6

co N

<0

N

<0 C") C") ...

o b s e rv a tio n

<0 ... <0 <0 <0 <0

<0 <0 ....

LCL .04

------------------------------------------------------ ----------------------------------~UCL 152

<0 '" o b 5 e r vat io n

'" N

Center 22.455

L C L 02

<0

""

300

250 Cll

E 200

OC I-

150

" .~ 0 100

n. 50

0

-50

300

250 E

a: 200

I-

1 50

.!!!. 1 00

Il.

50

- 50

190

ILlne Chart

Range Span:2

UCL: Specified LCL: Specified


Cell:Chart1

Inclusion crlterla:Application from DataConfectionery.svd

ILlne Chart Range Span:2 UCL:Speclfled LCL:Speclfled

6

5 p lit By: A p P I/C rea Cell:Chart2

11 16 21 26 31 36

o b s e rv a tio n

Inclusion crlterla:Application from DataContectlonery.svd

6 11 1 6 21 26 31 36

o b s e r vat io n

41 46 51 56

4 1 46 5 1 56

61 66 71

~- .~ --- ---- -

61 66 71

UCL 166

Center = 23.507 LCL = .02

U C L 228

Center 33.479

L C L .04

200

Q) 150 E

a:: .... 100

u

.'£. 0 50 a.

0

-50

191

ILlne Chart Range Span:2 UCL:Speclfied L C L: S pee If Ie d Spilt By: A p P I/C rea

Cell:Chart3 Inclusion crlterla:Appllcatlon from DataConfectlonery.svd

----------------------------------------------------------------------------------------1 UCL 173

Center 25.091

LCL .02

6 11 16 21 26 31 36 41

o b 5 e r vatic n

350

300

'" § 250

c:: I- 200

u 150 !!: 0 ~

a. 100

50

a

- 5 a

192

I Line Chart Range Span:2 UCL:Speclfled LCL: Specified Spilt By: A p P IIC rea

Celi:Chart1 Inclusion criteria: Collection from DataConfectlonery.svd

-------

6 11 16 21 26 31 36 41 Observation

46 51 56 61 66 71 76

UCL 228

Center = 32.623

LCL = .04

250

<II 200 §

a: 150 I-

u 100 .'!!,

~ a. 50

0

- 5 0

2 5 0

E 200

« >- 1 50

.!!!. 100 0

n. 50

0

·50

193

(Line Chart

Range Span:2

UCL: Specified L C L: S p e c If Ie d

Spilt By: A p P I/C rea Cell:Chart1

Inclusion criteria: Creation from DataConfeCtionery.5vd

Illne Chart Range Span:2 UCl:Speclfled

6

l C l : S p. c If I. d Split By: A p p I/C rea C.Ii:Chart2

11 16 21 26 31 36

o b 5 e rv a tic n

Inclusion crlterla:Creatlon from OataConfectlonery.svd

UCL 226

Center 32.915

LCL .04

41 46 51 56 61 66 7 1

----------------------------------------------------------------------------------------1 UCl 215

Center = 31.083

l C l .04

11 1 6 2 1 2 6 3 1 3 6

o b 5 e r vat 10 n

300

., 250

§ 200

a:: l-

150 u

.'!!. 100 0

Cl.

50

a

-5 a

194

ILlne Chart Range Span:2 U C L: S pee Ille d L C L : S pee I I Ie d Spilt By: Pro/Solict Cell:Chart1

Inclusion crlterla:Proactlve Irom DataConlectlonery.svd

6 11 16 21 26 31 36 41 46

Observation

51 56 61 66 71 76 81

UCL 228

Center = 33.447

LCL = .04

300

Q) 250 E

200 a: r-

150

" ~ 0 100

"-50

0

- 50

350

300

E - 250

a: r- 200

.~ 1 50

!: "-

100

50

0

- 50

195

ILlne Chart

Range Span:2

UCL: Specified

LCL: Specified

Split By: Pro IS 0 II c t

Cell:Chart1

Inclusion criteria: Solicited from DataConfactlonery.svd

6

ILlne Chart

Range Span:2

U C L: S p e c If Ie d LCL: Specified

Split By: Pro IS 0 "c t Cell:Chart2

11 16 21 26 31 36

o b s e r va tio n

In clu s 10 n crlte ria: So IIclte d fro m DataC 0 n fa ctlo n e ry.s vd

'" <0 <0

'" Observation

41 46 51

<0

56 61

Q

'"

66

<0

'"

71

...

UCL 242.5

Center 35.493

LCL .04

UCL 228

Center = 32.831

LCL = 04

., E

ex: f-

u

!!! 0 ~

a.

" §

ex: f-

.~

a.

196

100

50

ILlna Chart

Ranga Span:2

U C L: Spa c Ifla d LCL: Spaclflad

Split By: Pro/Sollct Call:Chart3

Inclusion crltarla: Sollcltad from DataConfactlonary.svd

UCL 111

~--uuj-~--~-~-~-~--:-~~~_~i ~ -~~ ~V ~ l Center = 15.817 o - --- -- -- --- --- --------- LCL = .02

- 50

300

250

200

1 50

100

50

0

·50

I L In 0 C h art Range Span:2 UCL:Spoclflod L C L : S poe If 10 d

6

5 P lit By: Pro 15 0 II c t ColI:Chart4

11 16 21 26 31 36

o b s e r vatic n

Inclusion crlt.rla:Sollclted from DataConfectlonery.svd

11 1 6 21 26 31 36

o b s e r vat io n

4 1 46 51 56 6 1 66 71

U C L 242 .5

Center 34.831

LCL .04

4 1 46 5 1 56 61 66 71

150

Q)

§ 100

t>: .... u 50 !!!. 0

a.

0

·50

197


UCL:Speclfled

LCL:Speclfled Spilt By: Pro/Sollct

Cell:Chart5

Inclusion crlterla:Sollclted from DataConfectionery.svd

------------------------------------------------------ ----------------------------------. UCL 146

Center 20.654

------- LCL .02

6 11 16 21 26

Observation

Appendix 15

Control Charts or the 1/1000 Resampled Probability Linlits

Dairy BU

Dairy BU Page number

All Proj ects 200


Collection proj ects 205




300

Q) 250

§ 200

a:: f--

150

" .~

::: 100

n. 50

0

- 50

300

Q) 250

§ 200

a:: f--

150

~

::: 100

n. 50

0

- 50

200

I Line Chari

Range Span:2 UCL: Specified

L C L : S p e c Ifle d

Spill By: C h a r I N u m be r

Cell:Charl1

ILlne Chari

Range Span:2 U C L : S p e c If Ie d LCL:Speclfled

<0

Spilt By:Charl Num ber Celi:Charl2

<0

N

Dairy BU - All Projects Control Limits Calculated usina the 1/1000 Resamoled Limits

<0

N

<0 .., .., ..,. o b s e r vat in n

<0 <0

UCL 270

Center = 13.3 L C L = 0

----------------------------------------------------------------------------------------t UCL 270

<0 <0 <0 <0

o b s e r vat io n

<0

"' <0

<0

<0

C en te r = 22.1 1 3 L C L = 0

'" .§

a:: I-

0

.!!. ~ Q.

'" E

a:: I-

0

.!!. ~ Q.

201

300

250

200

1 50

100

50

0

-50

300

250

200

150

100

50

0

- 50

ILlne Chart

Range Span:2

U C L : S p e c If Ie d

L C L : S p e c If Ie d


Cell:Chart3


U C L : S p e c If Ie d

LCL: Specified

(C


Cell:Chart4

"'

(C

'"

N

Dairy BU - All Projects Control Limits Calculated usina the 1/1000 Resamoled Limits

(C

'"

(C

N

(C

o b s e r v a tio n

"' Observation

..,. (C ..,.

(C ..,.

"' (C

"'

<0

"'

(C

(C

(C

<0 <0

U C L 270

Center = 15.028 L C L = 0

U C L 270

Center = 15.451 L C L = 0

300

Q) 250

E 200

a:: I-

150

" .!!!,

~ 100

0..

50

0

- 50

300

Q) 250

§ 200

a:: I-

150

!!!,

~ 100

0..

50

- 50

202

ILlne Chart

Range Span:2

UCL:Speclfled

L C L: S pee Ille d

Spill By: C hart N u m be r

Cell:Chart5

Dairy BU - All Projects Control Limits Calculated using the 1/1000 Resampled Limits

UCL 270

± ~ ~ ~ ~~---.. ... ~~ i ••• ~ ._ C e n Ie r = 24.113 _uu ~_~ ___ ~ _=---::__ __u ___ uu_~ ___ ~_.r 1-%:0 _____ LCL = 0


UCL: Specified

LCL:Specllled

<0

Spill By:CharlNum ber

Cell:Charl6

<0

'"

6

<0

'" <0

'" '" ... o b 5 e r val io n

11 o b s e r vat io n

<0

'"

1 6

<0

'"

21

<0

<0

<0 ....

UCL 270

Cenler=17.48 L C L = 0

200

E 1 50

a: .... 1 00

.'!!. 50

Q.

0

·50

200

E 1 50

a: .... 1 00 u

'!!. 0 50 Q.

0

·50

203

ILlne Chari

Range Span:

UCL:Speclfled

LCL:Speclfled

Spill By: A p p I/C re a

Cell:Charl1

In c lu s 10 ncr lie ria: A p p IIc a I 10 n fr 0 m 0 a ta 0 air y.s v d

----------------------------------------------------------------------------------------rUCL 147

ILlneCharl

Range Span:2

UCL: Specified

LCL:Speclfled


Cell:Charl2

'" N '" N

Inclusion crllerla:Applicallon from OalaOalry.svd

M

Observation

'" '" '" ....

Center = 16.155 L C L = 0

----------------------------------------------------------------------------------------rUCL 147

'" M

o b s e r vat io n '"

Center = 12.437 L C L = 0

., E

a:: I-

0

.~ 0

a.

204

200

150

100

50

a

-5 a

ILlne CharI

Range Span:2 UCL:Speclfled

L C L : S pee If Ie d

S P II I By: A p P IIC rea Cell:Charl3

Inclusion crlterla:Applicallon from DalaDalry.svd

CD CD CD

N N

o b s e rv a ti~ n

CD

'" "" CD

""

UCL 147

Center 27.468

L C L a

150

., § 100

0:: >-

u 50

~ 0

CL

0

- 50

205

ILlne Chari Range Span:2 UCL:Speclfled L C L: S p e c If Ie d

S P iii By: A p P IIC rea Celi:Charl1 Inclusion crllerla:Coliecllon from DalaDalry.svd

6 11 16 21 26 31 36 41 46 51 56 o b s e r vat;o n

61 66 71

UCL 124

Center = 12.6 L C L = 0

200

" E 1 50

'" >-1 00

" .!!. 0 50 0..

0

- 50

200

" E 1 50

'" >- 100

~

50 0..

0

- 50

206

ILlne Chari

Range Span:2

UCL: Specified

LCL: Specified

S p iii By: A p P IIC rea

Cell:Charl1

Inclusion crlterla:Cr.allon from OataOalry.svd


UCL:Speclfled

6

LC L: Spe clfle d Spill By: A p P IIC r. a

Cell:Chart2

11 1 6 21 26

Inclusion crlterla:Craatlon from DataDairy.svd

31 3 6 41 46 51 56 61 66

o b s e r vat io n

----------------------------------------------------------------------------------------

""'- --- ~ _______________ ~ ______ :-'iI! ___ ~ _____ ~. __ ::.-___ .~ ___________ 9: __________ _

11 1 6

o b 5 e r vat 10 n

UCl 186

Center = 23.557

l C l = 0

UCl 1 86

Center=16.706 L C L = 0

200

E 1 50

a:: ....

1 0 a u

.!!,

50 c..

o

- 50

200

.!§ 1 50

a:: ....

100

~ 0 50 c..

- 5 0

207

ILln. Chart

Range Span:2 UCL: Specified

LCL:Speelfled Spilt By: Pro/Soliet Cell:Chart1

Inclusion criteria: Proactive from OataDairy.svd

ILln. Chart Range Span:

UCL:Speelfla LCL:Speelfled Spilt By: Pro/Sollet C.II:Chart2

11 16 21 26

Inclusion crlterla:Proactlve from OataDalry.svd

11 1 6


2 1 Observation

26

46 5 1 56 61

31 3 6

66 7 1

41

U C L 1 77

C e n te r = 2 3 .63 4

L C L = 0

UCL 1 77

Center 31

L C L 0

300

250

§ 200

a:: f-

150 u .!!!,

100 !: n.

50

0

·50

300

250 E

200 a:: f-

150 u

!!!, 100 !:

n. 50

0

·50

208

ILlne Chart

Range Span:2 U C L : S pee Ifle d L C L: S pee If Ie d


Cell:Chart1 Inclusion crlterla:Sollclted from DataDalry.svd

------------------------------------------------------ __________________________________ r UCL 270

ILlne Chart Range Span:2 UCL: Specified LCL: Specified

co

Sp lit By: Pro/So IIct Cell:Chart2

co co N

Inclusion crlterla:Sollclted from DataDalry.svd

co

'" o b s e r va tio n

co ..,. co

'" co co co

fcrt~ro= 12.3

__________________________ r UCL 270

t e;;;r. ~ --- .~ L ~ ~ ~ 4iiii .-=J, ~ ~center = 19 183 - - - - -~ - - - -~ - -., _aa -~- - - - - - -- ~: - - - - - - - :. __ - - - - - - - - - - L C L = 0

co co co N N '" Observation

..,. co

'" co co co

300

CI> 250 E

200 <r >-

150 u

.~

~ 100

0..

50

0

- 50

300

CI> 250 §

200 <r >-

150 u

.~

~ 100

0..

50

0

- 50

209

ILlne Chari Range Span:2 UCL: Specified LCL: Specified Spill By: Pro /S a IIc I Cell:Charl3

Inclusion criterla:Sollclled from DataDalry.5vd

<0

ILlne Chari Range Span:2 UCL: Specified LCL: Specified Spill By: Pro/Solici Cell:Charl4

<0

N <0

N

Inclusion crllerla:Solicited from DalaDalry.5vd

<0

M ...

o b s e r val io n

<0 <0

'" <0

<0

<0

UCL 270

ec~t~ro= 10.986

----------------------------------------------------------------------------------------1 UCL 270

<0 <0

N

o b 5 e r vat io n

Center = 16.04 L C L = 0

julien, denyse (1998) an investigation into the...

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