In Example 4.30 the estimated power was 0.433 for n = 10 and the alternative hypothesis H1...

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