Three randomly selected households are surveyed. The numbers of people in the households are 1,1​ 3,3​ and 8,8. Assume that samples of size n =2 are randomly selected with replacement from the population of 1,1​ 3,3​ and 8,8. Listed below are the nine different samples. Complete parts​ (a) through​ (c).   1,1 1,3 1,8 , 3,1 3,3 3,8 , 8,1 8,3 8,8    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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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Three randomly selected households are surveyed. The numbers of people in the households are
1,1​
3,3​
and
8,8.
Assume that samples of size
n =2
are randomly selected with replacement from the population of
1,1​
3,3​
and
8,8.
Listed below are the nine different samples. Complete parts​ (a) through​ (c).
 
1,1 1,3 1,8 , 3,1 3,3 3,8 , 8,1 8,3 8,8
  
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.
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