Question 1
Suppose you want to compare two treatments, A and B. In particular, you wish to determine whether the distribution for population B is shifted to the right of the distribution for population A. You plan to use the Wilcoxon rank sum test.
a.
Specify the null and alternative hypotheses you would test.
b.
Suppose you obtained the following independent random samples of observations on experimental units subjected to the two treatments. Conduct the test of hypotheses described above, using
α = .05.
Sample A: 1.2, 1.5, 2.3, 3.2, 3.7, 4.1
Sample B: 2.5, 2.8, 3.6, 4.2, 4.5
Question 2
Independent random samples from two populations are shown in the table.
Use the Wilcoxon rank sum test to determine whether the data provide sufficient evidence to indicate a shift in the locations of the probability distributions of the sampled populations. Use
Free Samples
table
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