2) Suppose X1,..., Xn are iid each from Exp(1/0) so the density for each X is f(x10) = ½ 금0-210 x>0 a) Find the most powerful test (x) for testing Ho: 0=00 H₁0=0₁ where 01> 00. Now, to get a final numerical answer, set n 36, a = 0.05, and 00 = 2. A good way to approach this problem is to follow the steps in Example 2, Lecture 13. b) Is the test derived in part a) a uniformly most powerful test for testing Ho: 0=00 Why or why not? H₁: 0>00?

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