Question: (4) Consider a positive random variable X with an exponential density function ap.) = he'd (4) Consider a positive random variable X with an exponential

(4) Consider a positive random variable X with an exponential density function ap.) = he'd\

(4) Consider a positive random variable X with an exponential density function where > O is an unknown parameter. Find the most powerful test of size 0.05, based on a single measurement x, of Ho : 1 versus HI : = m (where m > 1) and calculate the probability of Type II error as a function of m.

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