statistics
posted by Nina on .
How is the standard error of the mean influenced by sample size and standard deviation?

The standard error of the mean (SEM) is a measure of how well the sample mean is estimated  so if you increase the sample size, the standard error of the mean should get smaller. Specifically, if S is the standard deviation of the sample, then the SEM = S/sqrt(N), where N is the sample size. So you can also see from that that if the standard deviation of the sample increases, then the SEM increases proportionally with it.

Why does the standard of error of a mean decrease as population increases.