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1

In a two-sample test of means for independent samples, the equal sign always appears in
A)The null hypothesis.
B)The alternate hypothesis.
C)The upper tail of the test statistic.
D)None of the above.
2

In a two-sample test of means for independent samples, we use the z distribution when
A)The population standard deviations are equal.
B)Both populations are positively skewed.
C)Both samples are at least 30.
D)np and n(1 - p) are both greater than 5.
3

A random sample of 10 observations is selected from the first normal population and 8 from the second normal population. For a one-tailed test of hypothesis (.01 significance level) to determine if there is a difference in the population means, the degrees of freedom are
A)18
B)17
C)16
D)None of the above.
4

A random sample of 10 observations is selected from the first normal population and 8 from the second normal population. For a one-tailed test of hypothesis (.01 significance level) to determine if there is a positive difference in the population means, the critical value(s) are
A)2.583
B)–2.921, 2.921
C)–2.583, 2.583
D)None of the above.
5

Which of the following is not a requirement for the two-sample test of means for independent samples when both samples contain less than 30 observations?
A)Normal populations.
B)Equal population standard deviations.
C)Equal sample sizes.
D)All of the above are required.
6

To conduct a test of means for two independent samples, which of the following are always required?
A)At least one of the samples must have 30 observations.
B)Both samples must have 30 observations.
C)np and n(1- p) must be 5.
D)None of the above.
7

To conduct a test of hypothesis for dependent samples we assume that
A)The distribution of the difference between the paired observations follows the normal distribution.
B)Both samples are at least 30.
C)The samples are unrelated.
D)All of the above.
8

When conducting a test of hypothesis for the dependent samples
A)We should have at least 30 pairs.
B)The significance level is more than .05.
C)The p-value is more than .10.
D)None of the above.
9

The research department at Anderson's Super Dollar wants to investigate the difference in the amounts spent by men and women shoppers. For a sample of 15 men the mean amount spent was $75 with a standard deviation of $16. For a sample of 12 women shoppers the mean amount spent was $83 with a standard deviation of $15. At the .05 significance level is there a difference in the mean amount spent? (The subscript m refers to the men and w to the women.) Which of the following is the correct statement of the null and the alternate hypothesis?
A)H0: mm > mw; H1: mm £ mw
B)H0: mm = mw; H1: mm ¹ mw
C)H0: mm ¹ mw; H1: mm = mw
D)H0: mm £ mw; H1: mm > mw
10

The research department at Anderson's Super Dollar wants to investigate the difference in the amounts spent by men and women shoppers. For a sample of 15 men the mean amount spent was $75 with a standard deviation of $16. For a sample of 12 women shoppers the mean amount spent was $83 with a standard deviation of $15. At the .05 significance level is there a difference in the mean amount spent? (The subscript m refers to the men and w to the women.) Which of the following is a correct statement of the decision rule?
A)Reject H0 if z > 1.65.
B)Reject H0 if z < -1.96 or z > 1.96.
C)Reject H0 if t < -2.060 or t > 2.060.
D)Reject H0 if t > 1.708.
11

The research department at Anderson's Super Dollar wants to investigate the difference in the amounts spent by men and women shoppers. For a sample of 15 men the mean amount spent was $75 with a standard deviation of $16. For a sample of 12 women shoppers the mean amount spent was $83 with a standard deviation of $15. At the .05 significance level is there a difference in the mean amount spent? (The subscript m refers to the men and w to the women.) Which of the following statements is correct?
A)It is not necessary to pool the sample variance because neither sample is more than 30.
B)The pooled variance estimate is 5.98.
C)The pooled variance estimate is 242.36.
D)None of the above.
12

The research department at Anderson's Super Dollar wants to investigate the difference in the amounts spent by men and women shoppers. For a sample of 15 men the mean amount spent was $75 with a standard deviation of $16. For a sample of 12 women shoppers the mean amount spent was $83 with a standard deviation of $15. At the .05 significance level is there a difference in the mean amount spent? (The subscript m refers to the men and w to the women.) The computed value of the test statistic is
A)z = 1.24
B)z = 1.327
C)t = -1.327
D)None of the above.
13

The research department at Anderson's Super Dollar wants to investigate the difference in the amounts spent by men and women shoppers. For a sample of 15 men the mean amount spent was $75 with a standard deviation of $16. For a sample of 12 women shoppers the mean amount spent was $83 with a standard deviation of $15. At the .05 significance level is there a difference in the mean amount spent? (The subscript m refers to the men and w to the women.) Which of the following is a correct decision and interpretation of the result?
A)Do not reject H0. There is no difference in the mean amount spent by the men and women.
B)Reject H0. There is a difference in the mean amount spent by the men and women.
C)Reject H0. The mean amount spend by the men is larger.
D)Do not reject H0. The women spend more than the men.
14

Market researchers wish to test whether men and women are equally likely to purchase a new brand of cereal named Flakies. Let p1 equal the proportion of men who would buy it and p2 the proportion of women. What is the critical value at the .05 level of significance, assuming each sample is large enough that the statistic follows the standard normal distribution?
A)-1.96 and +1.96
B)-1.645 and +1.645
C)-2.33 and +2.33
D)-2.58 and +2.58
15

Market researchers wish to test whether men and women are equally likely to purchase a new brand of cereal named Flakies. Let p1 equal the proportion of men who would buy it and p2 the proportion of women. What is the pooled proportion if 20 out of 50 men surveyed and 30 out of 100 women say they would buy it?
A)1/3
B)2/5
C)3/10
D).35
16

Market researchers wish to test whether men and women are equally likely to purchase a new brand of cereal named Flakies. Let p1 equal the proportion of men who would buy it and p2 the proportion of women. What is the value of the test statistic if 20 out of 50 men surveyed and 30 out of 100 women say they would buy it?
A)1.22
B)15
C)1.73
D).35
17

Market researchers wish to test whether men and women are equally likely to purchase a new brand of cereal named Flakies. Let p1 equal the proportion of men who would buy it and p2 the proportion of women. What is the conclusion at the .05 level of significance if 20 out of 50 men surveyed and 30 out of 100 women say they would buy it?
A)Do not reject the hypothesis that men and women would buy it in equal proportions.
B)Conclude that women are more likely then men to buy it.
C)Conclude that men are more likely than women to buy it.
D)Conclude that there is insufficient data.





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