Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

A population has μ = 500 and σ = 100. Samples of size n = 25 are taken.

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Find the value of x̄ that corresponds to the 90th percentile.

  • A

    ≈ 628

  • B

    ≈ 525.6

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  • C

    ≈ 510

  • D

    ≈ 600

Explanation

σ_x̄ = 100/√25 = 20. z₀.₉₀ ≈ 1.28. x̄ = 500 + 1.28(20) = 525.6.

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