11.52 A statistics practitioner wants to test the following hypotheses with σ = 20 and n = 100 ...

Problem 3
Chapter 11 (Introduction to hypothesis testing): Exercises 11.52
11.52 A statistics practitioner wants to test the following hypotheses with σ = 20 and n = 100:
a. Using α = .10 find the probability of a Type II error when μ = 102.
b. Repeat Part a with α = .02.
c. Describe the effect on β of decreasing α.