Sampling Distributions for Sample Means

AP Statistics· difficulty 2/5

center at μ

Why is x̄ called an unbiased estimator of μ?

  • A

    Because s = σ.

  • B

    Because the mean of its sampling distribution equals μ.

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  • C

    Because every sample gives x̄ = μ.

  • D

    Because the median equals μ.

Explanation

Unbiased means E(x̄) = μ_x̄ = μ.

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