Suppose a level .05 test of H0: 1 - 2 = 0 versus Ha: 1 - 2>

Question:

Suppose a level .05 test of H0: µ1 - µ2 = 0 versus Ha: µ1 - µ2> 0 is to be performed, assuming σ1 = σ 2 = 10 and normality of both distributions, using equal sample sizes (m = n). Evaluate the probability of a type II error when µ1 - µ2 = 1 and n = 25, 100, 2500, and 10,000. Can you think of real problems in which the difference µ1 - µ2 = 1 has little practical significance? Would sample sizes of n = 10,000 be desirable in such problems?