Question: Problem 8.14 Suppose ()=((26.71 )/2) is the power function of a test of H0 : 30 against H1 : < 30.

Problem 8.14 Suppose π(µ)=Φ((26.71 − µ)/2) is the power function of a test of H0 : µ ≥ 30 against H1 : µ < 30. Using this information find:

(a) The significance level of the test.

(b) The probability of a type II error at the alternative µ = 24.5.

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