12-35. Suppose that X is N(, 20) and n = 40. Let H0 : = 0...

12-35. Suppose that X is N(μ, 20) and n = 40. Let H0 : μ = μ0 = 100, with H1 : μ < 100. For α = 0.01, find R and R . Find β(μ) for μ = μ1 = 80, 82, 84, 86, 88, 90, 92, 94, 96, 98. Determine the power P(μ) for each of the given μ’s. Graph the power curve. What does its shape inform us about the test?