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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.

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