Question

# Three randomly selected households are surveyed. The numbers of people in the households are 2​, 4​,...

Three randomly selected households are surveyed. The numbers of people in the households are 2​, 4​, and 12. Assume that samples of size nequals2 are randomly selected with replacement from the population of 2​, 4​, and 12. Listed below are the nine different samples. Complete parts​ (a) through​ (c). 2​,2   2​,4   2​,12   4​,2   4​,4   4​,12   12​,2   12​,4   12​,12 a. Find the variance of each of the nine​ samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values.

here below is distribution of sampling variance:

 x1 x2 P(x1,x2) s2 2 2 1/9 0 4 2 1/9 2 12 2 1/9 50 2 4 1/9 2 4 4 1/9 0 12 4 1/9 32 2 12 1/9 50 4 12 1/9 32 12 12 1/9 0

from above:

probability distribution of the distinct variance values:

 s2 probability 0 1/3 2 2/9 32 2/9 50 2/9

#### Earn Coins

Coins can be redeemed for fabulous gifts.