Question

draw all possible samples each of size 3 with replacement from the population 15,24,38,10 so that sample at all sample mean is equal to population mean

Answer 1

Sampling with replacement has a chance of obtaining Nⁿ.

N is the population size and n is the samples size

N=4,n=3,

Hence 4³ =64.

table has the possible sample and their respective means

The population mean =$\frac{\Sigma}{n}$

={10+15+24+38}/4

=21.75

The sample has its respective mean .