In Example 4.30 the estimated power was 0.433 for n = 10 and the alternative hypothesis H1: μ = 1.5 and σ = 1.
(a) For n = 10 will the power increase or decrease if the alternative hypothesis is instead H1: μ = 1.25 and σ = 1? Substantiate your answer by randomly sampling (e.g., in Excel) from an appropriate normal distribution.
(b) For n = 10 will the power increase or decrease if the alternative hypothesis is instead H1: μ = 1.5 and σ = 0.75? Substantiate your answer by randomly sampling from an appropriate normal distribution.
Example 4.30
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