Three randomly selected households are surveyed. The numbers of people in the households are 3​, 5​, and 10. Assume that samples of size n=2 are randomly selected with replacement from the population of 3, 5, and 10. Listed below are the nine different samples. Complete parts​ (a) through​ (c) 3,3  3,5  3,10  5,3  5,5  5,10  10,3 10,5  10,10   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.                              s2   Probability           B. Compare the population variance to the mean of the sample variances.   C. Do the sample variances target the value of the population​ variance? In​ general, do sample variances make good estimators of population​ variances? Why or why​ not?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.