Question

three randomly selected households are surveyed. the numbers of people in the households are 1,3,8 assume that samples of size n =2 are randomly selelcted with replacement from the population of 1,3,8. Listed below are the nine different sampls

1,1 1,3 1,8 3,1 3,3 3,8 8,1 8,3 8,8

Answer 1

find the variance of each of the nine samples then summerize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values

s^2 Probability are
3,3 0 or 1
6.3 1 or 2
12.5 6.3 or 40.5
49 12.3 or 24.5