Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Textbook Question
Chapter 1.3, Problem 11E
The following results on summations will help us in calculating the sample variance s2. For any constant c,
- a n∑i=1c=nc.
- b n∑i=1cyi=cn∑i=1yi.
- c n∑i=1(xi+yi)=n∑i=1xi+n∑i=1yi.
Use (a), (b), and (c) to show that
s2=1n−1n∑i=1(yi−ˉy)2=1n−1[n∑i=1y2i−1n(n∑i=1yi)2].
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Chapter 1 Solutions
Mathematical Statistics with Applications
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