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Problem 3: Suppose we observe (x1,. following questions. xn) independently from N(0,02). Answer the (a) Find the sufficient statistics for . [5 points] (b)

Problem 3: Suppose we observe (x1,. following questions. xn) independently from N(0,02). Answer the (a) Find the sufficient statistics for . [5 points] (b) Find the minimal sufficient statistics and the mle of . [5 points] (c) If it was known that 2, would the mle change? If so, identify the new mle. [5 points]

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