The size of a sample can be selected by first determining the desired standard error and then using the formula $S E ( X ) = \sigma I \sqrt { n }$
to calculate n.

Question

The size of a sample can be selected by first determining the desired standard error and then using the formula $S E ( X ) = \sigma I \sqrt { n }$ 
to calculate n.

Quizplus · Accepted Answer

The formula $S E ( X ) = \sigma I \sqrt { n }$ is used to calculate the standard error of the mean, which is a measure of the variability of the sample mean. The desired standard error is the maximum amount of error that is acceptable in the sample mean. The sample size is then calculated using the formula $n = \frac{\sigma^2}{S E ( X )^2}$, where $\sigma^2$ is the population variance.

The Size of a Sample Can Be Selected by First SE(X)=σInS E ( X ) = \sigma I \sqrt { n }SE(X)=σIn​

The Size of a Sample Can Be Selected by First $S E ( X ) = \sigma I \sqrt { n }$