Solved: When the sample standard deviation is based on a random sample of size n from a

Chapter 7, Problem 7-62

(choose chapter or problem)

When the sample standard deviation is based on a random sample of size n from a normal population, it can be shown that S is a biased estimator for . Specifically, (a) Use this result to obtain an unbiased estimator for of the form cnS, when the constant cn depends on the sample size n. (b) Find the value of cn for n 10 and n 25. Generally, how well does S perform as an estimator of for large n with respect to bias?

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