Three randomly selected children are surveyed. The ages of the children are 1, 4, and 10. Assume that samples of sizen = 2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine differentsamples. Complete parts (a) through (d).1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,1014 (Round to three decimal places as needed.)b. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the formatof a table representing the probability distribution of the distinct variance values.04.51840.5Probability1320 NONS92929(Type integers or simplified fractions.)c. Find the mean of the sampling distribution of the sample variance.(Round to three decimal places as needed.)

We have to find the mean ie, =(0*1/3)+(4.5*2/9)+(18*2/9)+(40.5*2/9)…

Answered: (Type integers or simplified…

(Type integers or simplified fractions.) c. Find the mean of the sampling distribution of the sample variance. (Round to three decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

Three randomly selected children are surveyed. The ages of the children are 1, 4, and 10. Assume that samples of size
n = 2 are randomly selected with replacement from the population of 1, 4, and 10. Listed below are the nine different
samples. Complete parts (a) through (d).
1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10
14 (Round to three decimal places as needed.)
b. 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.
0
4.5
18
40.5
Probability
1
320 NONS
9
2
9
2
9
(Type integers or simplified fractions.)
c. Find the mean of the sampling distribution of the sample variance.
(Round to three decimal places as needed.)

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