Let X1, ..., Xn be i.i.d. N (u, O^2) samples, where u and o^2 are both unknown. You want to test the null hypothesis: HO : µ = 0; against the two sided alternative H1: p# 0. We can use the the likelihood ratio statistics. (a) Express the rejection region in terms of a statistic whose distribution you know under the null hypothesis. (b) Suppose that you have a sample of size n = 10 and observations 0.1635, 2.4237, -1.8584, 2.6294, 0.7376, 1.4001, -1.2642, -0.1900, 0.1219, 0.8227. Compute the p-value. With explanations please

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

A: Given: The sample data is: X = 16.5, 19.5, 36.8, 31.7, 17.3, 24.3, 49.7, 37.2, 19.7, 21.4, 18.6,…

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A: Let μ denote the population mean and x⎯⎯ denotes the sample mean. Then, μ=12.8 and x⎯⎯=12.2 Let n be…

A: e) -1+ is greater than -1, so we will take the second piece of the function

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A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…