Statistics Graduate Level Quiz
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STATISTICAL INFERENCE
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Let X1,…,XnX_1,\ldots,X_n be independent uniform random variables on [θ,θ+1][\theta,\theta+1]. An observed sample has minimum 2.22.2, maximum 2.92.9, and mean 2.552.55. Which statement correctly describes the MLE and the method-of-moments estimate of θ\theta?
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