Question

If the population consists of numbers 1, 2, 3, 4, 5, 6 and 7, find the mean of the samples of size 2 without replacement. Construct a sampling distribution.

Answer 1

N=7

n=2

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

$= \frac{7!}{2!(7-2)!}=\frac{42}{2}=21$