Problem 6 (15%). (1) Consider the hypothesis Ho: t = to Hy: μ # μο where o² is known. Derive a general expression for de

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Problem 6 (15%). (1) Consider the hypothesis Ho: t = to Hy: μ # μο where o² is known. Derive a general expression for de

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Problem 6 (15%). (1) Consider the hypothesis Ho: t = to Hy: μ # μο where o² is known. Derive a general expression for determining the sample size for detecting a true mean of μ₁ μ with probability 1-ß if the type I error is a. (2) Suppose we wish to test the hypothesis Ho: μ = 8.25 cm H₁: μ # 8.25 cm for the inside diameters of bearings, using a=0.1 level of significance, when it is known that o = 0.2. Find the sample size required if the power of the test is to be 0.90 when the true mean is 8.27 cm. Please show your steps.
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