2.1. Let X1, X2, ..., X. denote a random sample from the exponential density with mean 6, and let Yı, Y2, ..., Y, denote
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2.1. Let X1, X2, ..., X. denote a random sample from the exponential density with mean 6, and let Yı, Y2, ..., Y, denote an independent random sample from an exponential density with mean 02. Find the likelihood ratio criterion for testing Ho: 01 = 0, 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 = 1.5 and a = 0.1. State the hypothesis, the test statistic, the rejection region and the conclusion (8)