Suppose that we want to test the null hypothesis that the

Question

Rework Example 3 with

Example 3

With reference to Example 2, determine the minimum sample size needed to test the null hypothesis μ₀ = 10 against the alternative hypothesis μ₁ = 11 with β  0.06.

Example 2

Suppose that we want to test the null hypothesis that the mean of a normal population with σ² = 1 is μ₀ against the alternative hypothesis that it is μ₁, where μ₁ > μ₀. Find the value of K such that  > K provides a critical region of size α = 0.05 for a random sample of size n.