Question: Let X1, X2 be a random sample of size n = 2 from the distribution having pdf f(x; ) = (1/)ex/, 0 < x <

Let X1, X2 be a random sample of size n = 2 from the distribution having pdf f(x; ) = (1/)ex/,

0 < x< infinity. We reject Ho: theta =2 and accept Hi: theta =1 if the observed values X1, X2 say x1, x2 are such that

( f(x1,2)f(x2,2)/f(x1,1)f(x2,1) )<=1/2. omega =(theta = 1,2). Find the significance level and power of test when Ho is false

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