Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

The weight of a candy bar has μ = 50 g and σ = 2 g. A sample of n = 16 bars is selected.

Approximately, what is P(49.5 < x̄ < 50.5)?

  • A

    0.5000

  • B

    0.6826

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  • C

    0.9544

  • D

    0.3173

Explanation

σ_x̄ = 2/√16 = 0.5. z = ±1. P(−1 < Z < 1) ≈ 0.6826.

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