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There is a single observation of a random variable X which has a PDF f(x). a. Construct the best of size 0.5 for the null hypothesis H, : X ~ Pareto(1) against the alternative hypothesis H2 : X~IGamma(1,1) [4] b. Calculate the power of your test. [5]

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There is a single observation of a random variable X which has a PDF f(x). a. Construct the best of size 0.5 for the null hypothesis H, : X ~ Pareto(1) against the alternative hypothesis H2 : X~IGamma(1,1) [4] b. Calculate the power of your test. [5]

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