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How to solve this question? 8. Let X1, ..., Xn be a random sample from a population with pdf 20-2xe-27102 x E (0, 00), f

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How to solve this question?

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8. Let X1, ..., Xn be a random sample from a population with pdf 20-2xe-27102 x E (0, 00), f (2 0) = 0, otherwise, where 0 E O = (0, co). Find a uniformly most powerful (UMP) test for testing Ho : 0 0%, where do > 0 is a fixed real number. Hint: consider the statistic T(Xn) = En- in X2

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