Standard Error (SE) of sample mean (x̅) in random sampling from an infinite population or in random sampling with replacement is given by

1
SE = \(\rm\frac{\sigma^2}{\sqrt{n}}\) where σ is the population standard deviation
2
SE = \(\rm\frac{\sigma}{\sqrt{n^2}}\) where σ is the population standard deviation
3
SE = \(\rm\frac{\sigma^3}{\sqrt{n}}\) where σ is the population standard deviation
4
SE =\(\rm\frac{\sigma}{\sqrt{n}}\) where σ is the population standard deviation

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