Suppose you want to test a hypothesis that two treatments, A and B, are equivalent against the alternative hypothesis that the responses for A tend to be larger than those for B. You plan to use a paired difference experiment and to analyze the resulting data with the Wilcoxon signed rank test.
a. Specify the null and alternative hypotheses you would test.
b. Suppose the paired difference experiment yielded the data in the accompanying table. (These data are saved in the LM7_81 file.) Conduct the test, of part a . Test using α = .025.
Pair | A | B | Pair | A | B |
1 2 3 4 5 | 54 60 98 43 82 | 45 45 87 31 71 | 6 7 8 9 10 | 77 74 29 63 80 | 75 63 30 59 82 |
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