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Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

A test score has μ = 70, σ = 8. n = 16 students sampled.

Find P(68 < x̄ < 72).

  • A

    ≈ 0.9544

  • B

    ≈ 0.6826

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  • C

    ≈ 0.3173

  • D

    ≈ 0.1587

Explanation

σ_x̄ = 8/√16 = 2. z = ±1. P(−1 < Z < 1) ≈ 0.6826.

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