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2. A single positive random variable X has density function f (x 0 = (0+ x) ? ' *>0 0, otherwise where 0>0 is an

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2. A single positive random variable X has density function f (x 0 = (0+ x) ? ' *>0 0, otherwise where 0>0 is an unknown parameter. Find the uniformly most powerful critical region of size a = 0.05 in testing Ho : 0 =2 versus H, : 0 > 2

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