Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland
9th Edition
ISBN: 9781305764477
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 6, Problem 37SE

When the sample standard deviation S is based on a random sample from a normal population distribution, it can be shown that

E ( s )  =  2 / ( n  - 1 ) Γ( n /2) σ /Γ(( n  - 1)/2)

Use this to obtain an unbiased estimator for σ of the form cS. What is c when n = 20?

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Chapter 6 Solutions

Probability and Statistics for Engineering and the Sciences STAT 400 - University Of Maryland

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