# Question

Let X1, X2, . . . , Xn be a random sample of size n from a normal distribution.

(a) Show that an unbiased estimator of σ is cS, where

(b) Find the value of c when n = 5; when n = 6.

(c) Graph c as a function of n. What is the limit of c as n increases without bound?

(a) Show that an unbiased estimator of σ is cS, where

(b) Find the value of c when n = 5; when n = 6.

(c) Graph c as a function of n. What is the limit of c as n increases without bound?

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