The population (N = 3) consists of three children whose ages are 4, 5, and 9; the following Questions pertains to the age of the children.  Assume that samples of size n = 2 are randomly selected with replacement. A. Find the value of the population standard deviation s. B.  Table 6-2 describes the sampling distribution of the sample mean. Construct a similar table representing the sampling distribution at the sample standard deviation S.  Then combine values of S that are the same as in table 6-3.   C.  Find the mean of the sampling distribution of the sample standard deviation. D.  Based on the preceding results, is the sample standard deviation an unbiased estimator at the population standard deviation? Why or why not?

MATLAB: An Introduction with Applications
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The population (N = 3) consists of three children whose ages are 4, 5, and 9; the following Questions pertains to the age of the children.  Assume that samples of size n = 2 are randomly selected with replacement.

A. Find the value of the population standard deviation s.

B.  Table 6-2 describes the sampling distribution of the sample mean. Construct a similar table representing the sampling distribution at the sample standard deviation S.  Then combine values of S that are the same as in table 6-3.  

C.  Find the mean of the sampling distribution of the sample standard deviation.

D.  Based on the preceding results, is the sample standard deviation an unbiased estimator at the population standard deviation? Why or why not?

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