Provide an appropriate response.
-The mean height for a population is 65 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 smaller than the standard deviation, $\sigma$, of the population?

Question

Quizplus · Accepted Answer

The standard deviation of the sample mean ($\bar{x}$) decreases as the sample size increases, according to the Central Limit Theorem. This means that for a sample size of 30, the standard deviation of $\bar{x}$ (often referred to as the standard error) is smaller than the population standard deviation ($\sigma$).

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