Question: Problem 8.13 Suppose ()=1 (2(10.98 )) is the power function of a test of H0 : 10 against H1 :

Problem 8.13 Suppose π(µ)=1 − Φ(2(10.98 − µ)) is the power function of a test of H0 : µ ≤ 10 against H1 : µ > 10. Using this information find:

(a) The significance level of the test.

(b) The probability of a type II error at the alternative µ = 11.5.

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