Question: ... Consider a random sample X1, Xn from a normal distribution with known mean o and unknown variance 0 = 02 (a) Suppose that you

... Consider a random sample X1, Xn from a normal distribution with known mean o and unknown variance 0 = 02 (a) Suppose that you are testing 0 = 1 versus the alternative 0 /= 1. Determine the likeli- hood ratio test and the associated decision rule (b) Suppose that you are testing 0 = 1 versus the alternative 0 /= 1. Determine the Wald test statistic and the associated decision rule (c) Suppose that you are testing 0 = 1 versus the alternative 0 /= 1. Determine Rao's score statistic and the associated decision rule ... Consider a random sample X1, Xn from a normal distribution with known mean o and unknown variance 0 = 02 (a) Suppose that you are testing 0 = 1 versus the alternative 0 /= 1. Determine the likeli- hood ratio test and the associated decision rule (b) Suppose that you are testing 0 = 1 versus the alternative 0 /= 1. Determine the Wald test statistic and the associated decision rule (c) Suppose that you are testing 0 = 1 versus the alternative 0 /= 1. Determine Rao's score statistic and the associated decision rule
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