When sampling is done without replacement then standard error of mean is:
1
\(SE_{\bar{X}}=\dfrac{\sigma}{\sqrt{n}}\)
2
\(SE_{\bar{X}} = \dfrac{\sigma}{\sqrt{n}} \sqrt{\dfrac{N-n}{N-1}}\)
3
\(SE_{\bar{X}} = \dfrac{\sigma}{\sqrt{n}} \sqrt{\dfrac{N-1}{N-n}}\)
4
\(SE_{\bar{X}} = \dfrac{\sigma}{\sqrt{n}}\sqrt{1-\dfrac{n}{N}}\)