## (solution) 1. The weights of a random sample of 121 women between the ages

1. The weights of a random sample of 121 women between the ages of 25 and

34 had a standard deviation of 28 pounds. The weights of 121 women

between the ages of 55 and 64 had a standard deviation 21 pounds. Test the

claim that the older women are from a population with a standard deviation

less than that for women in the 25 to 34 age group. Use er women are from

a population with a standard deviation less than that for women in the 25 to

34 age group. Use ? = 0.05.

(5 pts) Show all work!

HA

a) H 0 _________________

______________________

b) Critical value F0 = _______

c) Rejection region ________________ d) Test statistic F = ____________

e) Should you reject your null hypothesis or fail to reject your null

hypothesis? _______________________ 2. Perform the indicated one-way ANOVA test. Assume that the population is

normally distributed and that the population variance are equal. Test the

claim that the populations have the same mean. Use ? = 0.05. (6 pts)

Show all work!

Brand 1

n=8

x= 24

8 Brand 2

n=8

= 3.0 x= 20.8

8 Brand 3

n=8

= 2.6 x= 20.8

8 = 2.6 s 1 =0.50

s1 2 a) s 2 =0.60

s2 =0.25

H0 2 s 3 =0.55

s3 =0.36 _________________ HA 2 =0.3025 ______________________ b) Critical value F0 = _______

c) Rejection region ________________

d) Test statistic

a. x = ____________

b. M S B = ___________ c. M S W = ___________ d. F = _________

e) Should you reject your null hypothesis or fail to reject your null hypothesis?

_______________________

3. Perform the indicated sign test. A convenience store owner believes that the

median number of lottery tickets sold per day is 44. A random sample of 20

days yields the data below. Test the owner?s claim. Use ? = 0.05. (3 pts)

Show all work!

27 43 54 59 26 50 65 22 28 33

42 49 49 39 39 44 44 54 49 33 a) H0 _________________ HA ______________________ b) Critical value _______

c) Test statistic __________ 4. Nine students took the SAT test. Their scores are listed below. Later on,

they took a test preparation course and retook the SAT. Their new scores are

listed below. Use the Wilcoxon signed-rank test to find the test statistic

ws

to test the claim that the test preparation had no effect on their scores.

Use ? = 0.05. (2 pts)

Studen

t

Before

score

After

score 1 2 3 4 5 6 7 8 9 820 920 810 1180 1060 1100 990 850 1150 840 920 800 1220 1090 1100 980 890 1170 Test statistic ___________ 5. Minitab ? Exercise 12 page 567 (Provide a copy of your Session window)

Open worksheet in Blackboard Module l6. The data for the four different regions

of the United States should be in C1-C4. To perform a one-way analysis of variance, click on Stat/ANOVA/One-Way. In the top down-down, select

?Response data re in a separate column for each factor level?. Select all four

columns for the Responses and click on OK. The results of the test will be in the

Session Window. (4 pts)

What can you conclude about the average number of days spent in a hospital?

________

Is it the same for all four regions of the United States? ______________

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