Consider taking a random sample X1 , . . . , Xn from a normal with mean μ and variance sigma^2.
Suppose you would like to conduce a hypothesis test of H0 : μ = 10 vs. H1 : μ != 10, and you happen to know that sigma^2 = 4.
Suppose in truth that μ = 11 and you collect a sample of size n = 20.
Calculate the power of this test.