Mind On Statistics - Chapter 13 Worksheets With Answers Page 17
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32Chapter 13
Questions 86 to 90: A researcher wants to assess if there is a difference in the average life spans between men and
women in Japan. Let
= average life span of Japanese women and
= average life span of Japanese men. A
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2
random sample of 10 women showed an average lifespan of 83 years, with a sample standard deviation of 7 years.
A random sample of 10 men showed an average lifespan of 77 years, with a sample standard deviation of 6.4 years.
Assume that life spans are normally distributed and that the population variances are equal.
86. What are the appropriate null and alternative hypotheses?
0
A. H
:
= 0 and H
:
0
1
2
a
1
2
0 and H
B. H
:
:
= 0
0
1
2
a
1
2
C. H
:
= 0 and H
:
< 0
0
1
2
a
1
2
D. H
:
= 0 and H
:
> 0
0
1
2
a
1
2
KEY: A
87. What is the value of the test statistic?
A. t = 1.65
B. t = 1.80
C. t = 2.00
D. None of the above
KEY: C
88. What is the p-value?
A. p-value = 0.030
B. p-value = 0.032
C. p-value = 0.060
D. None of the above
KEY: C
89. For a significance level of
= 0.05, are the results statistically significant?
A. No, results are not statistically significant because the p-value < 0.05.
B. Yes, results are statistically significant because the p-value < 0.05.
C. No, results are not statistically significant because the p-value > 0.05
D. Yes, results are statistically significant because the p-value > 0.05.
KEY: C
90. Which of the following is an appropriate conclusion?
A. There is a statistically significant difference in average life span between men and women.
B. The difference is not statistically significant so there is not enough evidence to conclude that the life spans
are different.
C. The average life span of women is 6 years longer than the average life span of men.
D. None of the above.
KEY: B
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