Sampling Distributions for Sample Means

AP Statistics· difficulty 2/5

Suppose the population mean of weights of apples in an orchard is μ = 150 grams with σ = 20 grams. Random samples of size n = 25 are taken.

μ_x̄ = μ

What is the mean of the sampling distribution of x̄?

  • A

    150 grams

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  • B

    20/√25 = 4 grams

  • C

    20 grams

  • D

    150/25 = 6 grams

Explanation

The mean of the sampling distribution of x̄ equals the population mean μ. Therefore μ_x̄ = 150 grams.

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