A population has σ = 10. We want P(|x̄ − μ| < 1) ≥ 0.95.
What sample size n is needed (approximately)?
- Acheck_circle
n ≥ 385
- B
n ≥ 100
- C
n ≥ 1000
- D
n ≥ 50
Explanation
1/(σ/√n) ≥ 1.96 → √n ≥ 1.96·10 = 19.6 → n ≥ 384.16, round up to 385.
Sampling Distributions for Sample Means
AP Statistics· difficulty 3/5
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