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8. Let X1, ..., X100 be samples from a Normal distribution with mean / and variance o'. Suppose that the sample mean is 2.55 and

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8. Let X1, ..., X100 be samples from a Normal distribution with mean / and variance o'. Suppose that the sample mean is 2.55 and the sample -100 variance (X; - X) 2 100 is 7.29. Using a likelihood ratio test, test the hypothesis that / = 3 at the 5% significance level

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