Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

Apple weights have μ = 150 g and σ = 20 g. A random sample of n = 25 apples is taken.

μ x̄ > ?

Find the approximate probability that x̄ exceeds 156 grams.

  • A

    0.5000

  • B

    0.0668

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  • C

    0.3821

  • D

    0.1587

Explanation

σ_x̄ = 20/√25 = 4. z = (156−150)/4 = 1.5. P(Z > 1.5) ≈ 0.0668.

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