Mind On Statistics - Chapter 13 Worksheets With Answers Page 6
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32Chapter 13
Questions 28 to 32: A counselor wants to show that for men who are married by the time they are 30,
= average
age when the men are married is not 21 years old. A random sample of 10 men who were married by age 30 showed
an average age at marriage of 22.2, with a sample standard deviation of 1.9 years. Assume that the age at which this
population of men get married for the first time is normally distributed.
28. What are the appropriate null and alternative hypotheses?
A. H
:
= 21 and H
:
< 21
0
a
B. H
:
= 21 and H
:
>21.
0
a
C. H
:
= 21 and H
:
21.
0
a
21 and H
D. H
:
:
= 21.
0
a
KEY: C
29. What is the value of the test statistic?
A. t =1.80
B. t =2.00
C. t =2.33
D. None of the above
KEY: B
30. What is the p-value?
A. p-value = 0.022
B. p-value = 0.053
C. p-value = 0.076
D. None of the above
KEY: C
31. For a significance level of
= 0.05, are the results statistically significant?
A. No, the results are not statistically significant because the p-value < 0.05.
B. Yes, the results are statistically significant because the p-value < 0.05.
C. No, the results are not statistically significant because the p-value > 0.05
D. Yes, the results are statistically significant because the p-value > 0.05.
KEY: C
32. Which of the following is an appropriate conclusion?
A. The results are statistically significant so the average age appears to be greater than 21.
B. The results are statistically significant so the average age appears to be less than 21.
C. The results are not statistically significant so there is not enough evidence to conclude average age is
different from 21.
D. None of the above.
KEY: C
266
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