Let X1, , Xn be iid n(, 2), where 2 is known For each of the following hypotheses, write out the acceptance region of a level a test and the 1 confidence interval that results from inverting the test a H0 0 versus H1 0 b H0 0 versus H1 0 c H0 0 versus H1 0

Question: Let X1,..., Xn be iid n(, 2), where 2 is known. For each of the following hypotheses, write out the acceptance region of a level

Let X1,..., Xn be iid n(μ, σ2), where σ2 is known. For each of the following hypotheses, write out the acceptance region of a level a test and the 1 - α confidence interval that results from inverting the test.
a. H0: θ = θ0 versus H1: θ ≠ θ0
b. H0: θ ≥ θ0 versus H1: θ < θ0
c. H0: θ ≤ θ0 versus H1: θ > θ0

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