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25 January, 04:15

Suppose a large population has a mean μand standard deviation σ, and a simple randomsample of size nis taken. The sampling distribution of the sample mean xhas mean andvariance respectively equal to (a) μ/nand σ2/n. (b) μand σ/n. (c) μ/nand σ2/n2. (d) μand σ2/n.

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  1. 25 January, 04:41
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    (d) μ and σ²/n

    Step-by-step explanation:

    In a sampling distribution of sample means, the mean is equal to the population mean, which is μ.

    The standard deviation of the sampling distribution of sample means is given by

    σ/√n.

    The variance of a distribution is the square of the standard deviation; this means the variance of the sampling distribution of sample means would be

    (σ/√n) ² = σ² / (√n) ² = σ²/n
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