Question: Take a randomsample {X1, ...,Xn} and randomly split the sample into two equal sub-samples 1 and 2. (For simplicity assume n is even.) Let X1n

Take a randomsample {X1, ...,Xn} and randomly split the sample into two equal sub-samples 1 and 2. (For simplicity assume n is even.) Let X1n and X2n the sub-sample averages. Are X1n and X2n consistent for the mean ¹ Æ E[X]? (Show this.)

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