Mind On Statistics - Chapter 13 Worksheets With Answers Page 12
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32Chapter 13
Section 13.4
59. Suppose that a difference between two groups is examined. In the language of statistics, the alternative
hypothesis is a statement that there is __________
A. no difference between the sample means.
B. a difference between the sample means.
C. no difference between the population means.
D. a difference between the population means.
KEY: D
60. The maximum distance at which a highway sign can be read is determined for a sample of young people and a
sample of older people. The mean distance is computed for each age group. What's the most appropriate null
hypothesis about the means of the two groups?
A. The population means are different.
B. The sample means are different.
C. The population means are the same.
D. The sample means are the same.
KEY: C
61. Researchers want to see if men have a higher blood pressure than women do. A study is planned in which the
blood pressures of 50 men and 50 women will be measured. What's the most appropriate alternative hypothesis
about the means of the men and women?
A. The sample means are the same.
B. The sample mean will be higher for men.
C. The population means are the same.
D. The population mean is higher for men than for women.
KEY: D
62. When comparing two means, the situation most likely to lead to a result that is statistically significant but of
little practical importance is
A. when the actual difference is large and the sample sizes are large.
B. when the actual difference is large and the sample sizes are small.
C. when the actual difference is small and the sample sizes are large.
D. when the actual difference is small and the sample sizes are small.
KEY: C
63. When comparing two means, which situation is most likely to lead to a result that is statistically significant?
(Consider all other factors equal, such as significance level and standard deviations.)
x
x
n
n
A.
10
,
20
and the sample sizes are
25
and
25
1
2
1
2
x
x
n
n
B.
10
,
25
and the sample sizes are
25
and
25
1
2
1
2
x
x
n
n
C.
10
,
20
and the sample sizes are
15
and
20
1
2
1
2
x
x
n
n
D.
10
,
25
and the sample sizes are
25
and
35
1
2
1
2
KEY: D
272
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