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

Given.

Population $N=41$

Sample size $n=5$

Standard deviation $\sigma =6.25$

Standard error is calculated by dividing the standard deviation by the sample size's square root.

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

$\sigma_{\bar{x}}=\dfrac{6.25}{\sqrt5}$

$\sigma_{\bar{x}}=2.795$