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urgent!! Thank you (b) Suppose X1, X2,..., X,, is an independent and identically distributed random sample from normal distribution, where E[X,]= /, Var(X,) = >

urgent!! Thank you

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(b) Suppose X1, X2,..., X,, is an independent and identically distributed random sample from normal distribution, where E[X,]= /, Var(X,) = > 0. Consider the following estimators: / = X,, and /2 =- X;. n+1 7=1 (i) Justify whether both , and /2 are unbiased estimators for M. State its bias term if the estimator is not an unbiased estimator for /. (3 marks) (ii) Determine whether both , and / are consistent estimator for /. (4 marks) (iii) Discuss the relation between unbiased and consistent estimators found in parts (b)(i) and (b)(ii). (2 marks)

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