Sampling Distributions for Sample Means

AP Statistics· difficulty 2/5

A population has μ = 150 grams and σ = 20 grams. Samples of size n = 25 are taken.

σ_x̄ = σ/√n

What is the standard deviation of the sampling distribution of x̄?

  • A

    20 grams

  • B

    5 grams

  • C

    4 grams

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  • D

    0.8 grams

Explanation

σ_x̄ = σ/√n = 20/√25 = 20/5 = 4 grams.

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