Solution Manual for Statistics for Management and Economics 10th Edition Gerald Keller

8/19/2019 Solution Manual for Statistics for Management and Economics 10th Edition Gerald Keller

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Appendix 13

A13.1 Equal-variances t-test of 21 µ−µ

!":#21

=µ−µ

!":# 211


2/23


% 2.3) p-value % .20. *here is enou+h evidence to infer that customers who see the ad are more likel, to make a

purchase than those who do not see the ad.

b Equal-variances t-test of 21 µ−µ

!":# 21 =µ−µ!":# 211 >µ−µ

+

µ−µ−−=

21

2 p

2121

n

1

n

1s

!"!$$"t

t % .() p-value % .1'3. *here is not enou+h evidence to infer that customers who see the ad and make a purchase

spend more than those who do not see the ad and make a purchase.

c -estimator of p

n

! p.1" p.- p. 2/

−± α

e estimate that between 30.23 and '2.' of all customers who see the ad will make a purchase.

d t-estimator of µ

n

st$ 2/α±



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e estimate that the mean amount spent b, customers who see the ad and make a purchase lies between (.22 and

10.''.

A13.3 t-test of Dµ

:# 4 =µ

:# 41 >µ

44

44

n/s$t µ−=

t % .5) p-value % .203. *here is not enou+h evidence to conclude that the equipment is effective.

A13.0 6requenc, of accidents: -test of 21 p p − "case 1!

! p p":# 21 =−

! p p":# 211 >−

+−

−=

21

21

n

1

n

1! p.1" p.

! p. p."-



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% .05) p-value % .32'3. *here is not enou+h evidence to infer that A78-equipped cars have fewer accidents than

cars without A78.

8everit, of accidents Equal-variances t-test of 21 µ−µ

!":# 21 =µ−µ

!":# 211 >µ−µ

+

µ−µ−−=

21

2 p

2121

n

1

n

1s

!"!$$"t

Estimate of the difference between two means "equal-variances!



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e estimate that the mean repair cost for non-A78-equipped cars will be between 51 and 9' more than the mean

repair cost for A78-equipped cars.

A13.' Equal-variances t-test of 21 µ−µ

!":# 21 =µ−µ!":# 211 µ−µ

+

µ−µ−−=

21

2 p

2121

n

1

n

1s

!"!$$"t



6/23


t % 1.5) p-value % .1020. *here is not enou+h evidence to infer that speed bumps reduce speeds.

roper stops: Equal-variances t-test of 21 µ−µ

!":# 21 =µ−µ

!":# 211


7/23


n

st$ 2/α±

;


8/23


A13.( -test of 21 p p − "case 1!

! p p":# 21 =−

! p p":# 211 >−

+−

−=

21

21

n

1

n

1! p.1" p.

! p. p."-

% .22) p-value % .0129. *here is not enou+h evidence to indicate that µ=µ

n/s

$t

µ−=

t % .(9) p-value % .1511. *here is not enou+h evidence to infer that the franchiser should build on this site.

A13.11 =nequal-variances t-test of 21 µ−µ



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!":# 21 =µ−µ

!":# 211 >µ−µ

2

2

2

1

2

1

2121

n

s

n

s

!"!$$"t

+

µ−µ−−=

t % 10.9) p-value % . *here is enou+h evidence to infer that quittin+ smokin+ results in wei+ht +ains.

A13.12 6-test of 2221 /σσ

1/:#

1/:#

22

211

22

21

>σσ

=σσ

22

21

s

s6 =

6 % 3.5) p-value % . *here is overwhelmin+ evidence to infer that 7rand 7 is superior to 7rand A.

A13.13 a -test of 21 p p − "case 1! "8uccess % 2!



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:# 21 p p −%

:#1 ≠− 21 p p

+−

−=

21

21

n

1

n

1! p.1" p.

! p. p."-

1

2

3

4

5

6

78

9

10

11

A B C D

z-Test: Two Proportions

Male most Male less

Sample Proportions 0.5962 0.8077

Obserations 52 52

!"pot#esi$e% Di&&eren'e 0

$ Stat (2.36P)*+,$- one tail 0.0092

$ Criti'al one(tail 1.6449

P)*+,$- to(tail 0.0184

$ Criti'al to(tail 1.96

% &2.39) p-value % .10. *here is enou+h evidence that men?s choices are affected b, the attractiveness of

women?s pictures

b -test of 21 p p − "case 1! "8uccess % 2!

:# 21 p p −%

:#1 ≠− 21 p p

+−

−=

21

21

n

1

n

1! p.1" p.

! p. p."-

1

2

3

4

56

7

8

9

10

11

A B C D

z-Test: Two Proportions

Female most Female less

Sample Proportions 0.7885 0.8269

Obserations 52 52!"pot#esi$e% Di&&eren'e 0

$ Stat (0.50

P)*+,$- one tail 0.3094

$ Criti'al one(tail 1.6449

P)*+,$- to(tail 0.6188

$ Criti'al to(tail 1.96



11/23


% &.') p-value % .91. *here is not enou+h evidence to infer that women?s choices are affected b, the

attractiveness of men?s pictures.

A13.10 -test of 21 p p − "case 1!

:# 21 p p − %

:#1 21 p p −

@

+−

−=

21

21

n

1

n

1! p.1" p.

! p. p."-

% 1.99) p-value % .02. *here is evidence to infer that e$ercisers are more likel, to remember the sponsors brand

name than those who onl, watch.

A13.1' a -test of p

:# p % 10)32/02') % .20'

:#1 p @ .20'

n

! p1" p

p p.-

−

−=



12/23


% 1.50) p-value % .09. *here is enou+h evidence to indicate that the campai+n will increase home deliver, sales.

b -test of p

:# p % 11)/02') % .2'(

:#1 p @ .2'(

n

! p1" p

p p.-

−

−=

% 1.5) p-value % .1015. *here is not enou+h evidence to conclude that the campai+n will be successful.

A13.19 t-tests of Dµ

a 4 :# µ % 0

41 :# µ @ 0

44

44

n/s

$t

µ−=



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t % 2.() p-value % .20. *here is enou+h evidence to conclude that the E*8 claim is false.

b 4 :# µ % 11

41 :# µ B 11

44

44

n/s

$t

µ−=

t % &3.3() p-value % .. *here is enou+h evidence to conclude that the Caplan claim is also false.

A13.15a t-test of µ

)1:#

)1:#

1


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* % D2.11 p - value % .1(. *here is enou+h evidence to infer that the supplier is cheatin+ him.

b t-estimator of µ

nst$ 2/α±

Estimate of the total

;


15/23


t% -.1'') p-value % .03'. *here is not enou+h evidence F

A13.1( :# 21 p p − %

:#1 21 p p −

G

% -'.09) p-value % . *here is enou+h evidence to conclude that 4emocrats and Hepublicans differ in their correct

answer to this question.

A1(.2 :# 21 p p − %

:#1 21 p p − G



16/23


% -1.91) p-value % .'30. *here is not enou+h evidence to conclude that 4emocrats and Hepublicans differ in their

correct answer to this question.

A13.21 :# 21

p p − %

:#1 21 p p − G

% -2.1) p-value % .221. *here is enou+h evidence to conclude that 4emocrats and Hepublicans differ in their


A13.22 :# 21 p p − %

:#1 21 p p −

G



17/23


% -2.01) p-value % .95. *here is enou+h evidence to conclude that 4emocrats and Hepublicans differ in their


A13.23

A13.20

A13.2'



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A13.29 :# 21 p p − %

:#1 21 p p − @

I % 2.29) p-value % .11(. *here is sufficient evidence to infer that the proportion of Americans earnin+ at least

5') is +reater in 2 than in 29.

A13.25

6 % 1.29) p-value % .11 =se =nequal-variances t-test

!":# 21 =µ−µ

!":# 211 ≠µ−µ

* % -2.'0) p-value % .111. *here is enou+h evidence to conclude that 4emocrats and Hepublicans differ in their

intention to vote.

A13.2



19/23


A13.2( :# 21 p p − %

:#1 21 p p −

@

8uccess % 1

A13.3


20/23


!":# 211 >µ−µ

+

µ−µ−−=

21

2 p

2121

n

1

n

1s

!"!$$"t

t % 1.19) p-value % .1209.

;o+ical Kemor, *est ";K*! score

!":# 21 =µ−µ

!":# 211 >µ−µ

+

µ−µ−−=

21

2 p

2121

n

1

n

1s

!"!$$"t

t % 1.) p-value % .19(.



21/23



22/23


% &12.32) p-value % . *here is enou+h evidence to conclude that women in the #8E8 +roup are more aware than

are women in the ;8E8 +roup.

d -test of 21 p p − "case 1!

:# 21 p p − %

:#1 21 p p −

B

+−

−=

21

21

n

1

n

1! p.1" p.

! p. p."-

% &5.95) p-value % . *here is enou+h evidence to conclude that women in the #8E8 +roup are more likel, to use

#H* than are women in the ;8E8 +roup.


23/23


% 1.(0) p-value % .29'. *here is evidence to infer that if the referendum were held on the da, of the poll) the

maNorit, of Ouebec would vote to remain in

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Solution Manual for Statistics for Management and Economics 10th Edition Gerald Keller

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