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Rework Example 3 with

Example 3

With reference to Example 2, determine the minimum sample size needed to test the null hypothesis μ0 = 10 against the alternative hypothesis μ1 = 11 with β  0.06.

Example 2

Suppose that we want to test the null hypothesis that the mean of a normal population with σ2 = 1 is μ0 against the alternative hypothesis that it is μ1, where μ1 > μ0. Find the value of K such that  > K provides a critical region of size α = 0.05 for a random sample of size n.

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