Sampling Distributions for Sample Means

AP Statistics· difficulty 3/5

Daily fluid intake follows a distribution with μ = 2.5 L and σ = 0.6 L. A sample of n = 36 days is recorded.

What is approximately P(x̄ < 2.3)?

  • A

    0.3707

  • B

    0.0500

  • C

    0.0228

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  • D

    0.1587

Explanation

σ_x̄ = 0.6/√36 = 0.1. z = (2.3−2.5)/0.1 = −2. P(Z < −2) ≈ 0.0228.

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