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Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

Lifetime of a battery has μ = 50 hr, σ = 10. n = 25.

Approximately, what is P(48 < x̄ < 52)?

  • A

    ≈ 0.3173

  • B

    ≈ 0.9544

  • C

    ≈ 0.4013

  • D

    ≈ 0.6826

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Explanation

σ_x̄ = 10/√25 = 2. z = ±1. P(−1 < Z < 1) ≈ 0.6826.

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