Let X1, X2,...Xn be a random sample of size n from a normal distribution with mean u and variance o2. Let Xn denote the sample average, defined in the usual way. PROVE Var [Xn] = o2 / n

Let X₁, X₂,…X_nbe a random sample of size n from a normal distribution with mean u and variance o². Let X_ndenote the sample average, defined in the usual way.

PROVE

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Var [X_n] = o² / n

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“ Let X1, X2,…Xn be a random sample of size n from a normal distribution with mean u and variance o2. Let Xn denote the sample average, defined in the usual way. PROVE Var [Xn] = o2 / n ”

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Let X1, X2,…Xn be a random sample of size n from a normal distribution with mean u and variance o2. Let Xn denote the sample average, defined in the usual way. PROVE Var [Xn] = o2 / n

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