Question: 1. Let Xu.. ... X. be a random sample with density for 2 3 0. where 0 3 01. [a) Find a one-dimensional sufficient statistic

1. Let Xu.. ... X. be a random sample with density for 2 3 0. where 0 3 01. [a) Find a one-dimensional sufficient statistic for 8. (5 marks] (b) Give the form of the most powerful size a test (0) 0? Justify your claim. [10 marks]

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