copyright © 2013 pearson education. all rights reserved. chapter 4 sampling distributions and data...

Copyright © 2013 Pearson Education. All rights reserved.

Chapter 4

Sampling Distributions and Data Descriptions


Section 4.1

Random Sampling

Copyright © 2013 Pearson Education. All rights reserved.4-3

Definition 4.1


Definition 4.2


Definition 4.3


Section 4.2

Some Important Statistics


Definition 4.4


Theorem 4.1


Section 4.3

Sampling Distributions


Definition 4.5


Section 4.4

Sampling Distribution of Means and the Central Limit Theorem


Theorem 4.2


Figure 4.1 Illustration of the Central Limit Theorem (distribution of X for n = 1, moderate n, and large n)

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Figure 4.2 Area for Example 4.4


Figure 4.3 Area for Case Study 4.1


Figure 4.4 Area for Example 4.5


Theorem 4.3


Figure 4.5 Area for Case Study 4.2


Section 4.5

Sampling Distribution of S2


Theorem 4.4


Figure 4.6 The chi-squared distribution


Section 4.6

t-Distribution


Theorem 4.5


Corollary 4.1


Figure 4.7 The t-distribution curves for v = 2, 5, and


Figure 4.8 Symmetry property (about 0) of the t-distribution


Figure 4.9 The t-values for Example 4.9


Section 4.7

F-Distribution


Theorem 4.6


Figure 4.10 Typical F-distributions


Figure 4.11 Illustration of the f for the F-distribution


Theorem 4.7


Theorem 4.8


Section 4.8

Graphical Presentation


Table 4.1 Tensile strength


Figure 4.12 Scatter plot of tensile strength and cotton percentages


Table 4.2 Car Battery Life


Table 4.3 Stem-and-Leaf Plot of Battery Life


Table 4.4 Double-Stem-and-Leaf Plot of Battery Life


Table 4.5 Relative Frequency Distribution of Battery Life


Figure 4.13 Relative frequency histogram


Figure 4.14 Estimating frequency distribution


Figure 4.15 Skewness of data


Table 4.6 Nicotine Data for Example 4.12


Figure 4.16 Box-and-whisker plot for Example 4.12


Figure 4.17 Stem-and-Leaf plot for the nicotine data


Section 4.9

Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

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fdistribution slide

tdistribution slide

sampling distributions

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random sampling slide

skewness of data slide

tensile strength slide