Question

1. if the sample size increases, what happens to the standard error?

a. it decreases
b. it becomes zero
c. it increases
d. it remains the same

Explanation:

The formula for standard error (SE) for a sample mean is $SE=\frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard - deviation and $n$ is the sample size. As $n$ increases, the denominator $\sqrt{n}$ increases, and since $\sigma$ is constant, the value of $SE$ decreases.

Answer:

A. It decreases