Question: Problem 8.30 Suppose you want to test H0: 30 against H1 : < 30 using a random sample of size n taken

Problem 8.30 Suppose you want to test H0: µ ≥ 30 against H1 : µ < 30 using a random sample of size n taken from a normal distribution N(µ, 16). Find the minimum sample size n and the cutoff value c if the probability of a type I error is to be α = 0.05 and the probability of a type II error at the alternative µ = 28 is to be β(28) = 0.20.

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