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Chapter 14 Quiz - Nonparametric Methods and Chi-Square Tests



1

In a chi-square contingency table test for independence, there are six rows and five columns. The computed chi-square value is 46. The p-value is:
A)less than 0.005
B)between 0.005 and 0.01
C)between 0.01 and 0.05
D)between 0.05 and 0.10
E)greater than 0.10
2

A sample from population I has ten observations and a sample from population II has twelve observations. The standard deviation of the Mann-Whitney U statistic is:
A)15.16
B)16.0
C)10.113
D)12
E)none of the above
3

A sample of consumers of coffee is selected and asked whether they had coffee with sugar or without. How many runs are in this data?

S N N N S N N S S S S N N S N N N S S N S S S S

A)24
B)2
C)11
D)12
E)none of the above
4

A manager wants to know if there is any correlation between the job performance of his staff and their scores on a particular test. The following table ranks the ten employees on the basis of their test scores, and on their job performance.

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Compute the Spearman rank correlation coefficient for this data.

A)0.8667
B)0.9354
C)0.76
D)0.6121
E)none of the above
5

The management of a museum wants to know if the proportions of three age groups of visitors, those under 18, those between 18 and 50, and those over 50, who buy souvenirs from the gift shop are equal. Over a particular week, the following number of people enters the museum:

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Compute the chi-square value to test whether the proportion of visitors buying from the museum gift shop is the same in all the age groups.

A)0.5009
B)0.4991
C)0.8927
D)5.2
E)none of the above
6

The following data gives the returns on two securities, A and B, over a period of 12 months.

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Compute the test statistic, for the Wilcoxon signed-rank test to determine whether or not there is a difference in the returns of the two securities.

A)17.5
B)37.5
C)12
D)8.5
E)none of the above
7

A sales manager is interested in knowing whether the years of experience each salesperson has had help in bringing in more sales. The following data ranks the experience and sales of these salespeople.

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Compute the Spearman rank correlation coefficient.

A)0.73
B)0.85
C)0.6378
D)0.9389
E)0.6333
8

The nonparametric test that is analogous to the One-Way ANOVA is the:
A)Kruskal-Wallis test
B)Friedman test
C)Mann-Whitney U test
D)Wilcoxon Signed-Rank test
E)none of the above
9

Which of the following tests is not based on ranks?
A)Friedman test
B)Kruskal-Wallis test
C)Wald-Wolfowitz test
D)Mann-Whitney U test
E)Wilcoxon Signed-Rank test
10

There are ten different types of telephone answering machines in the market, which are ranked according to quality and sales in the following table:

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Compute the Spearman rank correlation coefficient

A)0.1636
B)0.8364
C)0.794
D)0.8606
E)none of the above
11

A high technology consulting firm conducted a study with 120 broadband internet subscribers. Prior to the study, 73 of subscribers purchased broadband access from their cable-television provider. The remainder subscribed to DSL accounts from their telecommunications providers. Following a trial period, 13 of the cable subscribers said they would prefer to switch to DSL. Twenty of the DSL subscribers said they would prefer to switch to cable access.

Test a null hypothesis (at α = 0.05) that being exposed to the marketing study had no effect on broadband subscribers' preferences?

A)Do not reject H0; the test statistic T = 0.1225 does not exceed the critical value for x2 of 3.84
B)Reject H0; the test statistic T = 4.9 exceeds the critical value for x2 of 3.84
C)Reject H0; the test statistic Z = 3.84 exceeds the critical value for Z of 1.645
D)Do not reject H0; the test statistic t = 2.25 exceeds the critical value for t of 6.314
E)Reject H0: the test statistic U = 6.102 exceeds the critical value for U of 4.247
12

A pharmacy chain is evaluating the personnel turnover rates of two of its territories. Over the last 10 quarters, territories A and B exhibited the following personnel turnover rates:

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What would the p-value be in a Wald-Wolfowitz test of “H0: Territories A and B have the same distribution of personnel turnover”?

A)0.001
B)0.004
C)0.167
D)0.996
E)0.999







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