A random sample of nine pairs of observations are recorded on two variables, x and y. The data are shown in the table below.

a. Do the data provide sufficient evidence to indicate that r, the rank correlation between x and y, differs from 0? Test using a = .05.

b. Do the data provide sufficient evidence to indicate that the probability distribution for x is shifted to the right of that for y? Test using a = .05. Pair x y 1 19 12 2 27 19 3 15 7 4 35 25 5 13 11 6 29 10 7 16 16 8 22 10 9 16 18