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 a. Find the value of the population variance o². 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. Probability ... (Type integers or simplified fractions.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
a. Find the value of the population variance o².
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.
Probability
...
(Type integers or simplified fractions.)
Transcribed Image Text: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 a. Find the value of the population variance o². 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. Probability ... (Type integers or simplified fractions.)
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