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Q6Section A (Section A)6 of 60

Most powerful test between two gamma shapes

Let X1,…,XnX_1,…,X_n be a random sample from a Gamma(α,β)Gamma(\alpha,\beta) population, where β>0\beta>0 is a known constant. The rejection region of the most powerful test for H0:α=1H_0:\alpha=1 against H1:α=2H_1:\alpha=2 is of the form

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