A population has μ = 100, σ = 15. n = 9.
Approximately, what is P(x̄ < 95)? Assume the population is normal.
- A
≈ 0.5000
- B
≈ 0.3085
- C
≈ 0.0228
- Dcheck_circle
≈ 0.1587
Explanation
σ_x̄ = 15/√9 = 5. z = (95−100)/5 = −1. P(Z < −1) ≈ 0.1587.
AP Statistics· difficulty 3/5
A population has μ = 100, σ = 15. n = 9.
Approximately, what is P(x̄ < 95)? Assume the population is normal.
≈ 0.5000
≈ 0.3085
≈ 0.0228
≈ 0.1587
Explanation
σ_x̄ = 15/√9 = 5. z = (95−100)/5 = −1. P(Z < −1) ≈ 0.1587.
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