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Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

Wait time at a clinic has μ = 18 min, σ = 6 min. n = 36.

Approximately, what is P(x̄ < 17)?

  • A

    ≈ 0.3085

  • B

    ≈ 0.5000

  • C

    ≈ 0.0228

  • D

    ≈ 0.1587

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Explanation

σ_x̄ = 6/√36 = 1. z = (17−18)/1 = −1. P(Z < −1) ≈ 0.1587.

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