Question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

A. How many samples of size n = 2 can be drawn this population?

B. List all the possible samples and the corresponding means.

C. Construct the sampling distribution of the sample means.

Answer 1

A.

N=8

n=2

Number of samples $= \frac{N!}{n!(N-n)!} = \frac{8!}{2!(8-2)!}= 28$

B.

C.