Three randomly selected households are surveyed The number o

Three randomly selected households are surveyed. The number of people in the households are 1, 2, and 12..Assume that samples of size n = 2 are randomly selected with replacement from the population of 1, 2, and 12. Listed below are the nine different samples. Complete parts (a) through (c). 1,1 1,2 1,12 2,1 2,2 2,12 12,1 12,2 12,12 a) Find the variance of each of the nine samples, then summarize the sampling distribution of the variences in the format of a table representing the probability distribution of the distinct varience values.The top of one side says s^2 and the other side says probability.There are four boxes under each one. b)compare the population varience to the mean of the sample varience. Choose the correct answer a)The population varience is equal to the sqare root of the mean of the sample variences.b)The population varience is equal to the square of roothe mean of the sample variences. c)The population varience is equal to the mean of the sample variences.

Solution

a)The population varience is equal to the sqare root of the mean of the sample variences.