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

question 22

Multiple Choice

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

• A) The sample mean \(\bar { X }\)
• Is always an unbiased estimator of \(\mu\)
• )
• B) The sample mean \(\tilde { \mu }\)
• Is an unbiased estimator of \(\mu\)
• If the distribution is continuous and symmetric.
• C) Any trimmed mean is an unbiased estimator of \(\mu\)
• 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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