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 dr. Specifically, E(S)=2/(-1) (a/2)/[(n - 1)/2]

(a) Use this result to obtain an unbiased estimator for o of the form

c, when the constante, depends on the sample size.

(b) Find the value of

c, for 10 and w = 25.

Generally, how well does S perform as an estimator of for large a with respect to bias?