In a Kruskal-Wallis test for comparing three populations, the test statistic is calculated as H = 2.80 . If the test is conducted at the 5 significance level, then:
a. the null hypothesis will be rejected
b. the null hypothesis will not be rejected
c. the alternative hypothesis will not be rejected
d. the test results are inconclusive
e. the t-test for matched pairs must be used
Q. 2The Kruskal-Wallis Test for Differences in more than 2 Medians is a nonparametric alternative to:
a. ANOVA F test for completely randomized experiments
b. Student's t-test for related samples
c. Student's t-test for independent samples
d. Wilcoxon's Rank Sum Test for differences in two medians
e. Student's t-test for related samples and Student's t-test for independent samples
Q. 3In all applications of the Kruskal-Wallis test, the alternative hypothesis to be tested is always stated as:
a. the locations of all k populations are the same
b. at least two population locations differ
c. the locations of all w populations differ
d. the locations of all k populations differ
e. at least two population locations are the same
Q. 4The Kruskal-Wallis test can be used to determine whether a difference exists between two populations. However, to determine whether one population location is larger than another, we must apply the Wilcoxon rank sum test.
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Q. 5In a Kruskal-Wallis test, there are four samples, and the value of the test statistic is calculated as H = 13.21 . Then the most accurate statement that can be made about the p-value of the test is that it is greater than 0.005 but smaller than 0.01.
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Q. 6The Kruskal-Wallis test can be used to test for a difference between two populations. It will produce the same outcome as the two-tail Wilcoxon rank sum test.
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Q. 7In a Kruskal-Wallis test, there are three samples, and the value of the test statistic is calculated as H = 7.378 . Then the p-value of the test is 0.025.
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