Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

A population has μ = 100, σ = 15. n = 9.

Approximately, what is P(x̄ < 95)? Assume the population is normal.

  • A

    ≈ 0.5000

  • B

    ≈ 0.3085

  • C

    ≈ 0.0228

  • D

    ≈ 0.1587

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Explanation

σ_x̄ = 15/√9 = 5. z = (95−100)/5 = −1. P(Z < −1) ≈ 0.1587.

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