Question

a simple random sample of size 5 is drawn without replacement from a finite population consisting of 41 units. if the population standard deviation is 6.25 . what is the standard error of sample mean?

Answer 1

$$\sigma_{\bar{x}}=\sqrt{\dfrac{N-n}{Nn}}\sigma$$

$$\sigma_{\bar{x}}=\sqrt{\dfrac{41-5}{41(5)}}\cdot6.25=2.62$$