2.1. Let X1, X2, ..., X, denote a random sample from the exponential density with mean, and let Y, Y2...., Y, denote an
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2.1. Let X1, X2, ..., X, denote a random sample from the exponential density with mean, and let Y, Y2...., Y, denote an independent random sample from an exponential density with mean e. Find the likelihood ratio criterion for testing H:01 = 02 versus Hq:01 02. (21) 2.2. Refer to Question 2.1. Use the following to do a hypothesis test when m = 100, n = 200, X = 1 and 7 = 1.5 and a = 0.1. State the hypothesis, the test statistic, the rejection region and the conclusion. (8)