Consider the Wilcoxon signed-rank test, and suppose that n 5. Assume that H0: 0 is true

Chapter 15, Problem 15-60

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Consider the Wilcoxon signed-rank test, and suppose that n 5. Assume that H0: 0 is true. (a) How many different sequences of signed ranks are possible? Enumerate these sequences. (b) How many different values of W are there? Find the probability associated with each value of W. (c) Suppose that we define the critical region of the test to be to reject H0 if w w* and w* 13. What is the approximate level of this test? (d) Does this exercise show how the critical values for the Wilcoxon signed-rank test were developed? Explain.

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