If a two-tailed Wilcoxon Matched-Pairs Signed Rank test is conducted for a sample of n = 8 and an alpha level equal to .05, the critical value is:
A) 4
B) 1.96
C) 30
D) 2
Q. 2If we wish to test whether two related populations have equal medians, an appropriate nonparametric test to use is:
A) the Mann-Whitney U test.
B) the Kruskal-Wallis test.
C) the Wilcoxon signed rank test.
D) the Wilcoxon matched-pairs signed rank test.
Q. 3Assume that you are conducting a small sample Mann-Whitney U test where n1 = 14 and n2 = 16 and that U1 = 98. Assuming that U1 has been found correctly, what is the value of U2?
A) 112
B) 126
C) 224
D) Insufficient information to determine U2.
Q. 4Recently, a legislative committee commissioned a study of incomes in a western state. At issue was whether the ratings of the legislature's performance differed between rural citizens and city residents.
A random sample of 25 city residents and 35 rural residents was asked to rate the performance of the legislature on a scale of 1 to 100. The analysts believe that the population distribution of ratings would be highly skewed so they decided to use the Mann-Whiney U test to test whether there is a difference in median ratings by the two groups. Given this information, which of the following is the correct critical value if the test is to be conducted at the .10 level of significance?A) z = 1.96
B) t = 2.0357
C) U = 437.5
D) z = 1.645
Q. 5In a large sample Mann-Whitney U test in which the sample size from the first population is 30 and the sample size from the second population is 40, which of the following is the expected U value if the null hypothesis of equal median values is true?
A) 1,200
B) 70
C) 35
D) 600
Q. 6Consider the situation in which a human resources manager wishes to determine whether the median number of days of sick leave per year is greater for female employees than for male employees.
The following data represent random samples of males and females:
Males Females
5 14
10 5
0 13
9 7
2 8
7 0
5 7
10 10
3 6
1 5
If the manager is unwilling to assume that the populations are normally distributed, which of the following is the correct conclusion to reach if the test is conducted using a .05 level of significance?
A) Reject the null hypothesis
B) Conclude that females do have a higher median than males
C) Do not reject the null hypothesis
D) Conclude that males have a higher median than females
Q. 7Assume you are conducting a two-tailed Mann-Whitney U test for a small sample and have found that U1 = 58 and U2 = 86. What is the value of the test statistic?
A) 58
B) 86
C) 72
D) 144
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