(5pts) Let X1, X2 be a random sample of size n = 2 from the distribution...

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(5pts) Let X1, X2 be a random sample of size n = 2 from the distribution having pdf f(x; 6) (1/0)e/0,0 < x < o, zero elsewhere. We reject Ho: 02 and accept H: 0 = 1 if the observed values of X1, X2, say 21, 22, are such that f(x1; 2) f(x2; 2) 1 f(x1; 1) f (x2;1) 2 Here = {0:01,2}. Find the significance level of the test and the power of the test when Ho is false. (5pts) Let X1, X2 be a random sample of size n = 2 from the distribution having pdf f(x; 6) (1/0)e/0,0 < x < o, zero elsewhere. We reject Ho: 02 and accept H: 0 = 1 if the observed values of X1, X2, say 21, 22, are such that f(x1; 2) f(x2; 2) 1 f(x1; 1) f (x2;1) 2 Here = {0:01,2}. Find the significance level of the test and the power of the test when Ho is false.