Three randomly selected households are surveyed. The numbers of people in the households are 1,2 and 12. assume that sample of size n=2 are randomly selected with replacement from the population of 1,2, and 12.   nine different samples: 1,1, 1,2 1,12, 2,1 2,2 2,12 12,1 12,2 12,12   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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Three randomly selected households are surveyed. The numbers of people in the households are 1,2 and 12. assume that sample of size n=2 are randomly selected with replacement from the population of 1,2, and 12.
 
nine different samples:
1,1, 1,2 1,12, 2,1 2,2 2,12 12,1 12,2 12,12
 
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.
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