Question: 4. Consider the 'Wilooxon two sample rank sum statistic W. Drder the combined sample of N = m. + n. X and i' values from


4. Consider the 'Wilooxon two sample rank sum statistic W. Drder the combined sample of N = m. + n. X and i' values from least to greatest. Let S; be the rank of the l"; in this joint ordering. Set W = Z; 31-. 1. Shov.r that the minimum possible value of W is ail whereas the maximum possible value of W is w. 2 2. Suppose you reject HE. : = EY EX = G: if W = w or if W = Eng+11 and accept Hg otherwise. 1What is the type I error or for this test
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