a. If we have sample paired data with 75 nonzero differences, what are the smallest and largest possible values of T?
b. If we have sample paired data with 75 nonzero differences, what is the expected value of T if the population consists of matched pairs with differences having a median of 0?
c. If we have sample paired data with 75 nonzero differences and the sum of the positive ranks is 850, find the absolute value of the sum of the negative ranks.
d. If we have sample paired data with n nonzero differences and one of the two rank sums is k, find an expression for the other rank sum.