Question: 4.79 Let X] and X2 be a random sample from a population probability distribution with probability density function f(x) defined on positive support. Owen tests

population probability distribution with probability density function f(x) defined on positive support.

4.79 Let X] and X2 be a random sample from a population probability distribution with probability density function f(x) defined on positive support. Owen tests Ho : f(x) = ex x>0 versus H1 : f(x) = xe * x>0 at a = 0.05. Find a test statistic and associated critical region for the most powerful test. Hint: determining the critical value might require the use of numerical methods

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