In the automobile parts suppliers hypothesis test of H0: = 3 versus Ha: 3

In the automobile parts supplier’s hypothesis test of H0: μ = 3 versus Ha: μ ≠ 3 (as discussed in Exercise 9.46) find the sample size needed to make the probability of a Type I error equal to .05 and the probability of a Type II error corresponding to the alternative value μ0 = 3.005 equal to .05. Here, assume σ equals .023.