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Which of the Following Statements Are True If X1,X2,,XnX _ { 1 } , X _ { 2 } , \cdots \cdots , X _ { n }

Question 1

Multiple Choice

Which of the following statements are true if X1,X2,,XnX _ { 1 } , X _ { 2 } , \cdots \cdots , X _ { n } is a random sample from a distribution with mean μ\mu ?


A) The sample mean Xˉ\bar { X }
Is always an unbiased estimator of μ\mu
)
B) The sample mean μ~\tilde { \mu }
Is an unbiased estimator of μ\mu
If the distribution is continuous and symmetric.
C) Any trimmed mean is an unbiased estimator of μ\mu
If the distribution is continuous and symmetric.
D) None of the above statements are true.
E) All of the above statements are true.

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