Question: Let X1 and X2 be a random sample of size n = 2 from exp(0), where 0 is the mean of the exponential distribution.

Let X1 and X2 be a random sample of size n = 2 from exp(0), where is the mean of the exponential distribution. We reject HO :

Let X1 and X2 be a random sample of size n = 2 from exp(0), where 0 is the mean of the exponential distribution. We reject HO : 0 = 2 and accept H1 : 0 = 1 if X1 + X2 < 2 In 2. (a) Find the significance level of the test. (b) Show the test is the most powerful at its significance level.

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