Two classes investigate sampling distributions: one with samples of size 9, the other with samples of size 100, drawn from the same population.
As sample size n increases, the standard deviation of x̄ does what?
- A
Increases by a factor of √n.
- B
Stays the same.
- Ccheck_circle
Decreases by a factor of √n.
- D
Decreases by a factor of n.
Explanation
σ_x̄ = σ/√n decreases as n grows; specifically, dividing σ by √n.