3. Generalize the result in Problem 2. That is, suppose that the sampling is from N(, 2 0), where 2 0 is the known value

3. Generalize the result in Problem 2. That is, suppose that the sampling is from N(μ, σ2 0), where σ2 0 is the known value of the variance of the population. Suppose that we need to test H0: μ = μ0 against H1: μ = μ1, where μ1 < μ0, so that the level of the test is α and γ(μ1) = 1 − β. Show that the sample size n used to achieve this is such that

√

n =

(zα + zβ)σ0

(μ0 − μ1) .