Assume that X -sample has or observations and Y -sample has n observations. Denote by W = W2 the sum of the ranks of Y -sample (W-R-S statistic). (a) Find the maximum possible value of W, call it Wlm . (b) What is the minimum possible value of W , call it W . '? [111" (c) Suppose no ties in the combined data set and all of the X - observations are bigger than Y - observations. What is the one-sided p -value associated with the permutation test? (d) Suppose you reject the null hypothesis (H0) if W = n(2m + n +1)!2 or W = 3101 +1)/2 , and you accept H 0 otherwise. What is the significance level (a ) for this test