Thee randomly selected households are surveyed. The numbers of people in the households are 2, 4 and 12 . Assume that samples of size n = 2 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) 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 ( Ipe an meger or a acuon. Use asceriung order of the sample variances.) \begin{tabular}{|r|r|r|} \hline Sample & x1 & x2 \\ \hline 1 & 2 & 2 \\ \hline 2 & 2 & 4 \\ \hline 3 & 2 & 12 \\ \hline 4 & 4 & 2 \\ \hline 5 & 4 & 4 \\ \hline 6 & 4 & 12 \\ \hline 7 & 12 & 2 \\ \hline 8 & 12 & 4 \\ \hline 9 & 12 & 12 \\ \hline \end{tabular} (Type an integer or a fraction. Use ascending order of the sample variances.) . Compare the population variance to the mean of the sample variances. Choose the correct answer below. A. The population variance is equal to the square root of the mean of the sample variances. B. The population variance is equal to the mean of the sample variances. C. The population variance is equal to the square of the mean of the sample variances. c. Do the sample variances target the value of the population variance? In general, do sample variances make g estimators of population variances? Why or why not? A. The sample variances do not target the population variance, therefore, sample variances do not make goo estimators of population variances. B. The sample variances target the population variance, therefore, sample variances do not make good estimators of population variances. C. The sample variances do not target the population variance, therefore, sample variances make good estimators of population variances. D. The sample variances target the population variances, therefore, sample variances make good estimators of population variances. .

1. Thee randomly selected households are surveyed. The numbers of people in the households are
2, 4 and 12 . Assume that samples of size n = 2 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) 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 ( Ipe an meger or a acuon. Use asceriung order of the sample
variances.) begin{tabular}{|r|r|r|} hline Sample & x1 & x2 hline 1 & 2 & 2 hline 2 & 2 &
4 hline 3 & 2 & 12 hline 4 & 4 & 2 hline 5 & 4 & 4 hline 6 & 4 & 12 hline 7 & 12
& 2 hline 8 & 12 & 4 hline 9 & 12 & 12 hline end{tabular} (Type an integer or a
fraction. Use ascending order of the sample variances.) . Compare the population variance to the
mean of the sample variances. Choose the correct answer below. A. The population variance is
equal to the square root of the mean of the sample variances. B. The population variance is equal
to the mean of the sample variances. C. The population variance is equal to the square of the
mean of the sample variances. c. Do the sample variances target the value of the population
variance? In general, do sample variances make g estimators of population variances? Why or
why not? A. The sample variances do not target the population variance, therefore, sample
variances do not make goo estimators of population variances. B. The sample variances target
the population variance, therefore, sample variances do not make good estimators of population
variances. C. The sample variances do not target the population variance, therefore, sample
variances make good estimators of population variances. D. The sample variances target the
population variances, therefore, sample variances make good estimators of population variances.