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Suppose you wish to detect a difference in the locations of two population distributions based on a paired-difference experiment consisting of n = 35 pairs.
a. Give the null and alternative hypotheses for the Wilcoxon signed-rank test.
b. Give the test statistic.
c. Give the rejection region for the test for = 0.05.
d. If = 339, what are your conclusions? [Note:
= n(n + 1)/2].
e. Conduct the test using the large-sample z test. Compare your results with the nonparametric test results in the previous question.
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