1. The Spearman rank-correlation coefficient for 20 pairs of data when Σdi2 = 50 is _____.
A. .9624
2. The level of measurement that allows for the rank ordering of data items is _.
A. ordinal measurement
3. Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
The value of the test statistic is _.
A. 2.84
4. Excel’s __ function can be used to conduct the Kruskal–Wallis test.
A. CHISQ.DIST.RT
6. Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
The null hypothesis should _.
A. be rejected
7. The level of measurement that is a label for the purpose of identifying an item is _.
A. nominal measurement
8. Exhibit 18-5
It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below.
| Women Person | Score | Men Score | Score |
| 1 | 95 | 1 | 80 |
| 2 | 86 | 2 | 87 |
| 3 | 100 | 3 | 93 |
| 4 | 100 | 4 | 95 |
| 5 | 99 | 5 | 97 |
| 6 | 98 | 6 | 82 |
| 7 | 88 | 7 | 89 |
| 8 | 92 | 8 | 86 |
| 9 | 94 | 9 | 75 |
| 10 | 89 | 10 | 82 |
| 11 | 79 |
9. The null hypothesis is to be tested at the 5% level. The decision rule is not to reject the null hypothesis if _.
A. –1.96 < z < 1.96
10. Exhibit 18-5
It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below.
| Women Person | Score | Men Score | Score |
| 1 | 95 | 1 | 80 |
| 2 | 86 | 2 | 87 |
| 3 | 100 | 3 | 93 |
| 4 | 100 | 4 | 95 |
| 5 | 99 | 5 | 97 |
| 6 | 98 | 6 | 82 |
| 7 | 88 | 7 | 89 |
| 8 | 92 | 8 | 86 |
| 9 | 94 | 9 | 75 |
| 10 | 89 | 10 | 82 |
| 11 | 79 |
11. The Spearman rank-correlation coefficient for 20 pairs of data when Σdi2 = 50 is _.
A. .9624
12. Nonparametric methods that can be used to make inferences about a population without requiring an assumption about the distribution of the population are called _.
A. distribution-free methods
13. Exhibit 18-3
It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
A. .1336
14. It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
The p-value for this test is _.
A. .1336
15. A nonparametric method for determining the differences between two populations based on two matched samples where only preference data are required is the _.
A. sign test
16. Exhibit 18-2
Students in statistics classes were asked whether they preferred a 10-minute break or to get out of class 10 minutes early. In a random sample of 150 students, 40 preferred a 10-minute break, 80 preferred to get out 10 minutes early, and 30 had no preference. We want to determine if there is a difference in students’ preferences.
The value of the test statistic based on the number of students who preferred to get out early equals _.
A. 3.65
17. statistical methods that generally require very few, if any, assumptions about the population distribution are known as _.
A. nonparametric methods
18. Exhibit 18-3
It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
The test statistic has a value of _.
A. 1.5
19. A nonparametric test for the equivalence of two populations would be used instead of a parametric test for the equivalence of the population parameters if _.
c. no information about the populations is available
20. Exhibit 18-6
Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
The null hypothesis that is being tested is _.
A. H0: p = .5
21. A nonparametric version of the parametric analysis of variance test is the _.
A. Kruskal–Wallis test
22. If a null hypothesis that states that two populations are identical is rejected using a nonparametric test, then it is safe to assume that _.
A. we cannot be sure of the way in which the populations differ from each other.
23. Exhibit 18-6
Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
The value of the test statistic is _.
A. 2.84
24. A nonparametric method for determining the differences between two populations based on two matched samples where only preference data are required is the _.
A. sign test
25. Exhibit 18-1
Ten people were given two types of cereal, Brand X and Brand Y. Three people preferred Brand X, five people preferred Brand Y, and two people were undecided. We want to determine whether or not the two products are equal.
To test the null hypothesis, the appropriate probability distribution to use is a _.
A. binomial distribution
26. Exhibit 18-3
It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
The test statistic has a value of _.
A. 1.5
27. When ranking combined data in a Wilcoxon signed-rank test, the item that receives a rank of 1 is the _.
A. lowest value
28. Exhibit 18-6
Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
In this problem, σ equals_____.
A. 3.87
29. Exhibit 18-6
Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
In this situation, μ equals _.
A. 41
30. Exhibit 18-5
It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below.
| Women Person | Score | Men Score | Score |
| 1 | 95 | 1 | 80 |
| 2 | 86 | 2 | 87 |
| 3 | 100 | 3 | 93 |
| 4 | 100 | 4 | 95 |
| 5 | 99 | 5 | 97 |
| 6 | 98 | 6 | 82 |
| 7 | 88 | 7 | 89 |
| 8 | 92 | 8 | 86 |
| 9 | 94 | 9 | 75 |
| 10 | 89 | 10 | 82 |
| 11 | 79 |
31. The null hypothesis is to be tested at the 5% level. The decision rule is not to reject the null hypothesis if _____.
A. –1.96 < z < 1.96
32. For the Wilcoxon signed-rank test, differences of 0 are _____.
A. discarded
33. If a null hypothesis that states that two populations are identical is rejected using a nonparametric test, then it is safe to assume that _.
A. we cannot be sure of the way in which the populations differ from each other.
34. Exhibit 18-3
It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
To test the null hypothesis, the appropriate probability distribution to use is a _.
A. normal distribution
35. Exhibit 18-3
It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
The test statistic has a value of _.
A. 1.5
36. Exhibit 18-5
It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below.
| Women Person | Score | Men Score | Score |
| 1 | 95 | 1 | 80 |
| 2 | 86 | 2 | 87 |
| 3 | 100 | 3 | 93 |
| 4 | 100 | 4 | 95 |
| 5 | 99 | 5 | 97 |
| 6 | 98 | 6 | 82 |
| 7 | 88 | 7 | 89 |
| 8 | 92 | 8 | 86 |
| 9 | 94 | 9 | 75 |
| 10 | 89 | 10 | 82 |
| 11 | 79 |
37. Using the women as population 1, the value of the test statistic equals _.
A. 2.5
38. Exhibit 18-3
It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
The p-value for this test is _.
A. .1336
39. Exhibit 18-2
Students in statistics classes were asked whether they preferred a 10-minute break or to get out of class 10 minutes early. In a random sample of 150 students, 40 preferred a 10-minute break, 80 preferred to get out 10 minutes early, and 30 had no preference. We want to determine if there is a difference in students’ preferences.
The null hypothesis should be _.
A. rejected
40. Exhibit 18-3
It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
The null hypothesis should _.
A. not be rejected
41. When ranking combined data in a Wilcoxon signed-rank test, the item that receives a rank of 1 is the _.
A. lowest value
42. Exhibit 18-5
It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below.
| Women Person | Score | Men Score | Score |
| 1 | 95 | 1 | 80 |
| 2 | 86 | 2 | 87 |
| 3 | 100 | 3 | 93 |
| 4 | 100 | 4 | 95 |
| 5 | 99 | 5 | 97 |
| 6 | 98 | 6 | 82 |
| 7 | 88 | 7 | 89 |
| 8 | 92 | 8 | 86 |
| 9 | 94 | 9 | 75 |
| 10 | 89 | 10 | 82 |
| 11 | 79 |
43. The Spearman rank-correlation coefficient for 20 pairs of data when Σdi2 = 50 is _.
A. .9624
44. A nonparametric test for the equivalence of two populations would be used instead of a parametric test for the equivalence of the population parameters if _.
A. no information about the populations is available
45. Exhibit 18-4
A company advertises that food preparation time can be significantly reduced with the Handy Dandy Slicer. A sample of 12 individuals prepared the ingredients for a meal with and without the slicer. You are given the preparation times below.
| Preparation Times | ||
| Person | With Slicer | Without Slicer |
| 1 | 20 | 22 |
| 2 | 12 | 18 |
| 3 | 20 | 18 |
| 4 | 14 | 22 |
| 5 | 19 | 19 |
| 6 | 20 | 21 |
| 7 | 19 | 18 |
| 8 | 15 | 12 |
| 9 | 22 | 18 |
| 10 | 19 | 25 |
| 11 | 21 | 26 |
| 12 | 23 | 20 |
46. To test the null hypothesis, the appropriate probability distribution to use is a _.
A. normal distribution
47. Exhibit 18-4
A company advertises that food preparation time can be significantly reduced with the Handy Dandy Slicer. A sample of 12 individuals prepared the ingredients for a meal with and without the slicer. You are given the preparation times below.
| Preparation Times | ||
| Person | With Slicer | Without Slicer |
| 1 | 20 | 22 |
| 2 | 12 | 18 |
| 3 | 20 | 18 |
| 4 | 14 | 22 |
| 5 | 19 | 19 |
| 6 | 20 | 21 |
| 7 | 19 | 18 |
| 8 | 15 | 12 |
| 9 | 22 | 18 |
| 10 | 19 | 25 |
| 11 | 21 | 26 |
| 12 | 23 | 20 |
48. The hypothesis is to be tested at the 5% level of significance. The decision rule is not to reject the null hypothesis if _____.
A. –1.96 < z < 1.96
49. Exhibit 18-5
It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below.
| Women Person | Score | Men Score | Score |
| 1 | 95 | 1 | 80 |
| 2 | 86 | 2 | 87 |
| 3 | 100 | 3 | 93 |
| 4 | 100 | 4 | 95 |
| 5 | 99 | 5 | 97 |
| 6 | 98 | 6 | 82 |
| 7 | 88 | 7 | 89 |
| 8 | 92 | 8 | 86 |
| 9 | 94 | 9 | 75 |
| 10 | 89 | 10 | 82 |
| 11 | 79 |
50. To test the null hypothesis, the appropriate probability distribution to use is a _.
A. normal distribution
51. A nonparametric test would be used if _.
A. nominal data are available
52. For the Wilcoxon signed-rank test, differences of 0 are _.
A. discarded
53. Exhibit 18-3
It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
The null hypothesis should _.
not be rejected
54. Exhibit 18-3
It is believed that the median yearly income in a suburb of Atlanta is $70,000. A sample of 67 residents was taken. 38 had yearly incomes above $70,000, 26 had yearly incomes below $70,000, and 3 had yearly incomes equal to $70,000. The null hypothesis to be tested is H0: Median = $70,000.
The mean and the standard deviation (respectively) for this test about the population median are _.
A. 32 and 4
55. Exhibit 18-2
Students in statistics classes were asked whether they preferred a 10-minute break or to get out of class 10 minutes early. In a random sample of 150 students, 40 preferred a 10-minute break, 80 preferred to get out 10 minutes early, and 30 had no preference. We want to determine if there is a difference in students’ preferences.
The null hypothesis should be _.
A. rejected
56. Statistical methods that generally require very few, if any, assumptions about the population distribution are known as _.
A. nonparametric methods
57. Exhibit 18-1
Ten people were given two types of cereal, Brand X and Brand Y. Three people preferred Brand X, five people preferred Brand Y, and two people were undecided. We want to determine whether or not the two products are equal.
The null hypothesis that is being tested is _.
A. H0: p = .5
58. The Spearman rank-correlation coefficient is a correlation method based on _.
A. rank-ordered data for two variables
59. Exhibit 18-5
It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below.
| Women Person | Score | Men Score | Score |
| 1 | 95 | 1 | 80 |
| 2 | 86 | 2 | 87 |
| 3 | 100 | 3 | 93 |
| 4 | 100 | 4 | 95 |
| 5 | 99 | 5 | 97 |
| 6 | 98 | 6 | 82 |
| 7 | 88 | 7 | 89 |
| 8 | 92 | 8 | 86 |
| 9 | 94 | 9 | 75 |
| 10 | 89 | 10 | 82 |
| 11 | 79 |
60. Using the women as population 1, the value of the test statistic equals _.
A. 2.5
61. Exhibit 18-2
Students in statistics classes were asked whether they preferred a 10-minute break or to get out of class 10 minutes early. In a random sample of 150 students, 40 preferred a 10-minute break, 80 preferred to get out 10 minutes early, and 30 had no preference. We want to determine if there is a difference in students’ preferences.
The hypothesis is to be tested at the 5% level of significance. The decision rule is not to reject the null hypothesis if _.
A. –1.96 < z < 1.96
62. Exhibit 18-4
A company advertises that food preparation time can be significantly reduced with the Handy Dandy Slicer. A sample of 12 individuals prepared the ingredients for a meal with and without the slicer. You are given the preparation times below.
| Preparation Times | ||
| Person | With Slicer | Without Slicer |
| 1 | 20 | 22 |
| 2 | 12 | 18 |
| 3 | 20 | 18 |
| 4 | 14 | 22 |
| 5 | 19 | 19 |
| 6 | 20 | 21 |
| 7 | 19 | 18 |
| 8 | 15 | 12 |
| 9 | 22 | 18 |
| 10 | 19 | 25 |
| 11 | 21 | 26 |
| 12 | 23 | 20 |
63. The value of the test statistic equals _____.
–.889 or .889
64. Exhibit 18-6
Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
In this situation, μ equals _____.
A. 68
65. Exhibit 18-6
Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
The conclusion is that _.
A. there is a significant difference between the population proportions
66. Exhibit 18-4
A company advertises that food preparation time can be significantly reduced with the Handy Dandy Slicer. A sample of 12 individuals prepared the ingredients for a meal with and without the slicer. You are given the preparation times below.
| Preparation Times | ||
| Person | With Slicer | Without Slicer |
| 1 | 20 | 22 |
| 2 | 12 | 18 |
| 3 | 20 | 18 |
| 4 | 14 | 22 |
| 5 | 19 | 19 |
| 6 | 20 | 21 |
| 7 | 19 | 18 |
| 8 | 15 | 12 |
| 9 | 22 | 18 |
| 10 | 19 | 25 |
| 11 | 21 | 26 |
| 12 | 23 | 20 |
67. The null hypothesis should _.
A. not be rejected
68. Exhibit 18-6
Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
The hypothesis is to be tested at the 5% level. The decision rule is not to reject the null hypothesis if _.
A. –1.96 < z < 1.96
69. Ten people were given two types of cereal, Brand X and Brand Y. Three people preferred Brand X, five people preferred Brand Y, and two people were undecided. We want to determine whether or not the two products are equal.
To test the null hypothesis, the appropriate probability distribution to use is a _.
A. binomial distribution
70. Exhibit 18-4
A company advertises that food preparation time can be significantly reduced with the Handy Dandy Slicer. A sample of 12 individuals prepared the ingredients for a meal with and without the slicer. You are given the preparation times below.
| Preparation Times | ||
| Person | With Slicer | Without Slicer |
| 1 | 20 | 22 |
| 2 | 12 | 18 |
| 3 | 20 | 18 |
| 4 | 14 | 22 |
| 5 | 19 | 19 |
| 6 | 20 | 21 |
| 7 | 19 | 18 |
| 8 | 15 | 12 |
| 9 | 22 | 18 |
| 10 | 19 | 25 |
| 11 | 21 | 26 |
| 12 | 23 | 20 |
71. To test the null hypothesis, the appropriate probability distribution to use is a _.
A. normal distribution
72. Statistical methods that require assumptions about the population are known as _.
A. parametric methods
73. Exhibit 18-5
It has been hypothesized that there is no difference in the mathematical accuracy of men and women. A sample of men and women were given math tests. The scores on the tests are given below.
| Women Person | Score | Men Score | Score |
| 1 | 95 | 1 | 80 |
| 2 | 86 | 2 | 87 |
| 3 | 100 | 3 | 93 |
| 4 | 100 | 4 | 95 |
| 5 | 99 | 5 | 97 |
| 6 | 98 | 6 | 82 |
| 7 | 88 | 7 | 89 |
| 8 | 92 | 8 | 86 |
| 9 | 94 | 9 | 75 |
| 10 | 89 | 10 | 82 |
| 11 | 79 |
74. To test the null hypothesis, the appropriate probability distribution to use is a _.
A. normal distribution
75. Exhibit 18-6
Forty-one individuals from a random sample of 60 indicated they oppose legalized abortion. We are interested in determining whether or not there is a significant difference between the population proportions of opponents and proponents of legalized abortion.
In this situation, μ equals _.
A. 68
76. Exhibit 18-1
Ten people were given two types of cereal, Brand X and Brand Y. Three people preferred Brand X, five people preferred Brand Y, and two people were undecided. We want to determine whether or not the two products are equal.
The hypothesis is to be tested at the 5% level. The decision rule is not to reject the null hypothesis if _.
A. the number of “+” signs is greater than or equal to 2 and less than or equal to 6
77. If the assumption can be made that the populations all have the same shape, the Kruskal–Wallis test becomes _.
A. a test of the medians of the k populations
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