Let X1,...,Xn be a sample from N(, 2). Denote the power of the one-sided t-test of H

Let X1,...,Xn be a sample from N(ξ, σ2). Denote the power of the one-sided t-test of H : ξ ≤ 0 against the alternative ξ/σ by β(ξ/σ), and by

β∗(ξ/σ) the power of the test appropriate when σ is known. Determine β(ξ/σ)

for n = 5, 10, 15, α = .05, ξ/σ = .07, 0.8, 0.9, 1.0, 1.1, 1.2, and in each case compare it with β∗(ξ/σ). Do the same for the two-sided case.