Posted by Nina on Saturday, October 6, 2012 at 3:12pm.
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.
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