Answer to Question #311171 in Statistics and Probability for Ivy

Question

A population consists 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? Follow the steps1to 6

Answer 1

Solution

5C2=10

(2,6) (2,8) (2,3) (2,1) (6,8) (6,3) (6,1) (8,3) (8,1) (3,1)

= (4+5+2.5+1.5+7+4.5+3.5+5.5+4.5+2)/10

Mean=4

Variance ={∑[x-E(x)]²}/(n-1)

=(1+2.25+6.25+9+0.25+0.25+2.25+0.25+4)/(2-1)= 25.25