A statistician takes a sample of 200 people from a town of 1,500 residents.
Is the 10% condition satisfied for using σ_x̄ = σ/√n?
- A
Yes, because 200 < 1500.
- B
No, because the sample is too small.
- C
Yes, because n > 30.
- Dcheck_circle
No, because 200 > 0.10·1500 = 150.
Explanation
The 10% condition requires n ≤ 0.10N. Since 200 > 150, the condition is violated.