A population has μ = 60, σ = 8, n = 16.
Find x̄ at the 5th percentile.
- A
≈ 50.0
- B
≈ 73.16
- Ccheck_circle
≈ 56.71
- D
≈ 60.0
Explanation
σ_x̄ = 8/4 = 2. z₀.₀₅ ≈ −1.645. x̄ = 60 + (−1.645)(2) ≈ 56.71.
Sampling Distributions for Sample Means
AP Statistics· difficulty 3/5
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