Population: μ = 200, σ = 24; n = 36.
Approximately, what is the probability that x̄ is within 4 of μ?
- A
≈ 0.3173
- B
≈ 0.9544
- C
≈ 0.5000
- Dcheck_circle
≈ 0.6826
Explanation
σ_x̄ = 24/6 = 4. So 4 = 1 SD. P(|Z| < 1) ≈ 0.6826.
AP Statistics· difficulty 3/5
Population: μ = 200, σ = 24; n = 36.
Approximately, what is the probability that x̄ is within 4 of μ?
≈ 0.3173
≈ 0.9544
≈ 0.5000
≈ 0.6826
Explanation
σ_x̄ = 24/6 = 4. So 4 = 1 SD. P(|Z| < 1) ≈ 0.6826.
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