What happens to the power of the test as the alternative value of μ moves away from 3?
Plot the power of the test versus the alternative values of μ in part a. What happens to the power of the test as the alternative value of μ moves away from 3?
9.82 In the Consolidated Power hypothesis test of H0: μ ≤ 60 versus Ha: μ > 60 (as discussed in Exercise 9.80) find the sample size needed to make the probability of a Type I error equal to .025 and the probability of a Type II error corresponding to the alternative value μa = 60.5 equal to .025. Here, assume σ equals 2.
9.83 In the automobile parts supplier’s hypothesis test of H0: μ = 3 versus Ha: μ ≠ 3 (as discussed in Exercise 9.81) find the sample size needed to make the probability of a Type I error equal to .05and the probability of a Type II error corresponding to the alternative value μa = 3.005 equal to .05. Here, assume σ equals .023.