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Consider a positive random variable X with an exponential density function f(I| X) = Me-Ar where > > 0 is an unknown parameter. Find the

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Consider a positive random variable X with an exponential density function f(I| X) = Me-Ar where > > 0 is an unknown parameter. Find the most powerful test of size 0.05, based on a single measurement r, of Ho : A = 1 versus Hj : A = m (where m > 1) and calculate the probability of Type II error as a function of m

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