november 2004 qp - s1 edexcel

7/23/2019 November 2004 QP - S1 Edexcel

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Paper Reference(s)

6683

Edexcel GCEStatistics S1

Advanced/Advanced Subsidiary

Tuesday 2 November 2! "ornin#

Time$ 1 %our 3 minutes

"aterials re&uired 'or examination (tems included )it% &uestion *a*ers

Answer Book (AB16) Nil

Graph Paper (ASG2)

Mathematical Formlae (!ilac)

Candidates may use any calculator E+CE,T t%ose )it% t%e 'acility

'or symbolic al#ebra- di''erentiation and/or inte#ration. T%us

candidates may NT use calculators suc% as t%e Texas (nstruments

T( 80- T( 02- Casio C+ 00G- e)lett ,ac4ard , !8G.

(nstructions to Candidates

"n the #o$es on the answer #ook% write the name of the e$aminin& #o' ('e$cel)% or centre

nm#er% can'i'ate nm#er% the nit title (Statistics S1)% the paper reference (66*+)% or

srname% other name an' si&natre,-ales from the statistical ta#les shol' #e .ote' in fll, /hen a calclator is se'% the answer

shol' #e &i0en to an appropriate 'e&ree of accrac,

(n'ormation 'or Candidates

A #ooklet Mathematical Formlae an' Statistical a#les3 is pro0i'e',

Fll marks ma #e o#taine' for answers to A!! .estions,

his paper has se0en .estions,

Advice to Candidates

4o mst ensre that or answers to parts of .estions are clearl la#elle',

4o mst show sfficient workin& to make or metho's clear to the $aminer, Answers

withot workin& ma &ain no cre'it,

N1662*A his p#lication ma onl #e repro'ce' in accor'ance with !on'on 5alifications !imite' copri&ht polic,2778 !on'on 5alifications !imite'


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1. As part of their 9o#% ta$i 'ri0ers recor' the nm#er of miles the tra0el each 'a, A ran'om

sample of the milea&es recor'e' # ta$i 'ri0ers :eith an' Asif are smmarise' in the #ack;to;

#ack stem an' leaf 'ia&ram #elow,

otals :eith Asif otals

( = (8)

(11) < < * = 6 > 8 + + 1 1 1< > = * < < (>)

(6) * = 8 2 2 7 27 7 2 2 8 8 * (6)

(6) < 8 + 1 7 7 21 2 + > 6 6 = < (=)

(8) 6 8 1 1 22 1 1 2 8 > > * (=)

(2) 2 7 2+ 1 1 + 8 6 6 = * (*)

(2) = 1 28 2 8 * < (8)

(1) < 2> 8 (1)

(2) < + 26 (7)

:e? 7 1* 8 means 1*7 for :eith an' 1*8 for Asif

he .artiles for these two 'istri#tions are smmarise' in the ta#le #elow,

:eith Asif

!ower .artile 1(Q+ Q1) an' Q+C 1,>(Q+ Q1),

(b) n &raph paper% an' showin& or scale clearl% 'raw a #o$ plot to represent :eith3s 'ata,

58

(c) Domment on the skewness of the two 'istri#tions,

53


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2. An e$periment carrie' ot # a st'ent iel'e' pairs of (x%y) o#ser0ations sch that

x E +6% y E 2*,6% SxxE 8872% SxyE +8==,6

(a) Dalclate the e.ation of the re&ression line of y on x in the formyE aC bx, Gi0e or

0ales of aan' bto 2 'ecimal places,

53(b) Fin' the 0ale ofywhenxE 8>,

51

3. he ran'om 0aria#leXN(% 2),

"t is known that

P(X66) E 7,7+>< an' P(X*1) E 7,11>1,

(a) "n the space #elow% &i0e a clearl la#elle' sketch to represent these pro#a#ilities on aNormal cr0e,

51

(b) (i) Show that the 0ale of is >,

(ii) Fin' the 0ale of,

58

(c) Fin' P(6< X*+),53

N1662*A + Turn over


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!. he 'iscrete ran'om 0aria#leXhas pro#a#ilit fnction

P(XEx) E

=

=

=

,2%1%1,7

7%1%

%2%+%2,7

x

x

x

Fin'

(a) %

52

(b) P(1 X 2)%51

(c) F(7,6)%

51

(d) the 0ale of asch that (aXC +) E 1,2%

5!

(e) -ar(X)%

5!

(f) -ar(+X 2),

52

7. he e0entsAan'Bare sch that P(A) E 21

% P(B) E +1

an' P(AB) E 81

,

(a) @sin& the space #elow% represent these pro#a#ilities in a -enn 'ia&ram,

5!

ence% or otherwise% fin'

(b) P(AB)%51

(c) P(AB)52

N1662*A 8


5/6

6. St'ents in Mr Brawn3s e$ercise class ha0e to 'o press;ps an' sit;ps, he nm#er of press;psxan' the nm#er of sit;psy'one # a ran'om sample of * st'ents are smmarise' #elow,

xE 2=2% x2E 17168% xyE 11222%

yE +27% y2E 1+868,

(a) 0alate Sxx% Syyan' Sxy,

5!

(b) Dalclate% to + 'ecimal places% the pro'ct moment correlation coefficient #etweenxan'y,

53

(c) Gi0e an interpretation of or coefficient,

52

(d) Dalclate the mean an' the stan'ar' 'e0iation of the nm#er of press;ps 'one # these

st'ents,

5!

Mr Brawn assmes that the nm#er of press;ps that can #e 'one # an st'ent can #e

mo'elle' # a normal 'istri#tion with meanan' stan'ar' 'e0iation , Assmin& thatan'

take the same 0ales as those calclate' in part (d)%

(e) fin' the 0ale of asch that P( aXC a) E 7,,

53

(f) Domment on Mr Brawn3s assmption of normalit,

52


6/6

. A colle&e or&anise' a fn rn3, he times% to the nearest minte% of a ran'om sample of 177st'ents who took part are smmarise' in the ta#le #elow,

ime Nm#er of st'ents

8788 17

8>8= 1>8* 2+

81 21

>2>> 16

>667 1>

(a) Gi0e a reason to spport the se of a histo&ram to represent these 'ata,

51

(b) /rite 'own the pper class #on'ar an' the lower class #on'ar of the class 8788,

51

(c) n &raph paper% 'raw a histo&ram to represent these 'ata,

5!

EN

N1662*A 6

november 2004 qp - s1 edexcel

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