Suppose a level .05 test of H0 : μ1 – μ2 : versus H0 : μ1 – μ2 >0 is to be performed, assuming σ1 =σ2=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 of n = 10,000 be desirable in such problems?
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