Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

The number of cars passing a checkpoint per minute has μ = 12 and σ = 3. A sample of n = 36 minutes is recorded.

What is approximate P(x̄ > 13)?

  • A

    ≈ 0.1587

  • B

    ≈ 0.0228

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  • C

    ≈ 0.3085

  • D

    ≈ 0.5000

Explanation

σ_x̄ = 3/√36 = 0.5. z = 1/0.5 = 2. P(Z > 2) ≈ 0.0228.

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