Let X1, . . . , X25 be a random sample from a normal distribution with known variance 64 and unknown mean µ. (a) (8 points) Find the rejection region for a test of H0 : µ = 0 versus H1 : µ = 1.5 at α = 0.1. What is the power of the test? (b) (6 points) Answer the above question again if α = 0.05. (c) (2 points) Compare the results of Questions (a) and (b), how the power changes with α?