Statistics Solutions

[See Solution] For X̄ the sample mean of an n-element random sample drawn from random variable whose variance is σ ^2, show that var;(X̄)=(σ

Question: For \(\bar{X}\) the sample mean of an n-element random sample drawn from random variable whose variance is \({{\sigma }^{2}}\), show that \(\operatorname{var}\left( {\bar{X}} \right)=\frac{{{\sigma }^{2}}}{n}\)

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