Question

what is the standard deviation of the sample means called? what is the formula for this standard deviation? the standard error of the mean: \\( \frac { \sigma } { \sqrt { n } } \\) the average error of the mean: \\( \frac { \sigma } { n } \\) the standard error of the mean: \\( \frac { \sigma } { n } \\) the standard error of the mean: \\( \frac { \sigma } { n ^ { 2 } } \\) the average error of the mean: \\( \frac { \sigma } { \sqrt { n } } \\)

Explanation:

Step1: Recall the formula for standard error of the mean

The standard error of the mean ($SEM$) is calculated using the formula $SEM=\frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard deviation and $n$ is the sample size.

Answer:

The standard error of the mean: $\frac{\sigma}{\sqrt{n}}$