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. These data are saved in the LM14_20 file.

Conduct a test of the hypotheses you specified in part a. Test, using a = .05.

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Sample A 37, 40, 33, 29, 42, 33, 35, 28, 34, Sample B 5, 35, 47, 52