Provide an appropriate response.
-The mean height for a population is 65 inches and the standard deviation is 3 inches. Let $\bar { x }$ denote the mean height for a sample of people picked randomly from the population. The standard deviation of $\bar { x }$ for samples of size 30 is greater than the standard deviation of $\bar { x }$ for samples of size 20?

Question

Quizplus · Accepted Answer

The standard deviation of $\bar{x}$ (also known as the standard error) decreases as the sample size increases, due to the formula $\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard deviation and $n$ is the sample size.

Provide an Appropriate Response xˉ\bar { x }xˉ Denote the Mean Height for a Sample of People Picked

Provide an Appropriate Response $\bar { x }$ Denote the Mean Height for a Sample of People Picked