Sampling Distributions for Sample Means

AP Statistics· difficulty 1/5

A population has a known mean μ and known standard deviation σ. Random samples of size n are repeatedly drawn.

The mean of the sampling distribution of x̄ is always equal to which of the following?

  • A

    x̄ from any one sample.

  • B
  • C

    μ (the population mean).

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  • D

    μ/n.

Explanation

The sample mean is unbiased, so μ_x̄ = μ.

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