Question

A random sample of size 4 is taken with replacement from a population with mean 12 and variance 8.Determine the mean ,variance,and standard deviation.

Answer 1

Solution;

For the mean;

$\mu_p=\mu_s$

Therefore the mean of the sample is;

$12$

For the variance;

$\sigma_s^2=\frac{\sigma_p}{n}=\frac{8}{4}=2$

For the standard deviation;

$s=\sqrt{\sigma_s^2}=\sqrt{2}$ =1.414