For each of the following tests, determine which of the two U statistics (U1 or U2) you would choose, the appropriate test statistic, and the rejection region for the Mann–Whitney test:
a. HA: 1 < 2, α = 0.05, n1 = 5, and n2 = 10
b. HA: 1 > 2, α = 0.05, n1 = 15, and n2 = 12
c. HA: 1 ≠ 2, α = 0.10, n1 = 12, and n2 = 17
d. HA: 1 < 2, α = 0.05, n1 = 22, and n2 = 25
e. HA: 1 ≠ 2, α = 0.10, n1 = 44, and n2 = 15