Question

A population consist of the five measurements 2,6,8,3 & 1. How many different samples of size n=2 can be drawn from the population? What is the mean and variance of the sampling distribution of the sample means?

Answer 1

The number of all possible sample = ⁵C₂=10

The variance of the sampling distribution of the sample means

$s^2 = \frac{1}{10-1} \times 25.5 = 2.83$