Question

The standard error of the mean decreases if the population standard deviation ______________.
1. increases or if sample size increases
2. decreases or if sample size increases
3. decreases or if sample size decreases
4. increases or if sample size decreases

Answer 1

Correct Answer - Option 2 : decreases or if sample size increases

Explaination

Standard error of the mean = SE_x- = σ_ρ/√n

Hence SE_x- decreases when population standard deviation(σ_ρ) decreases or if sample size (n) increase