Question: Suppose that you are testing H0: 1 = 2 versus H1: 1 2, and you plan to use equal sample sizes from the two populations.

Suppose that you are testing H0: 1 = 2 versus H1: 1 2, and you plan to use equal sample sizes from the two populations. Both populations are assumed to be normal with unknown but equal variances. If you use = 0.05 and if the true mean 1 = 2 + , what sample size must be used for the power of this test to be at least 0.90?

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