"The only useful function of a statistician is to make predictions, and thus to provide a basis for action" -- (W. Edwards Deming, 1980) Joseph Louis Lagrange (1736-1813): Born in Italy, Lagrange lived mostly in France and made mathematical contributions in many areas. Among other things, he took a critical look at the mathematical works of Newton, Euler, and Leibniz, who had created the foundations for the amazing branch of mathematics we know as calculus. Lagrange refined the works of these great mathematicians. In doing so, he created the calculus notation f'(x) and f''(x), which we still use today. He also made contributions in the field of astronomy and to the development of the theory of finite groups. What excuse did Herkimer give for the difficulty he had when sailing from California to Hawaii? Answer: He said "I left my chart in San Francisco." Herky's friends: DOUG GRAVES...he had a successful career as an undertaker. FILLMORE WELLES...he supplied water during periods of drought. ASSIGNMENT #56 Reading: Section 9.3 (pages 481-494, including SUMMARY on pages 493-494) In the STAT PACK, read pages 9A and 9B. Exercises: None. Make sure you do the reading carefully and thoroughly.

You are in Section 9.3.

The Central LimitTheorem (page 488) is extremely important. Make sure you understand the premise and the conclusion. Here is asimple example illustrating what it says.

Suppose you have a population withmean 132 and standard deviation 7. Consider the collection M ofmeans of all possible samples of size 20. The Central Limit Theoremsays that M has the following properties.

• It is approximately normal.
• It has a mean = 132 (the same as the population mean).
• It has a standard deviation = 7/sqrt(20) = 1.565.

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Text:
The Practice of Statistics, by Yates, Moore, McCabe. New York,W.H. Freeman and Company, 1999. (ISBN 0-7167-3370-6)

Supplemental books:
The Cartoon Guide to Statistics, by Gonick and Smith. NewYork, HarperCollins Publishers, 1993. (ISBN 0-06-273102-5)
How to Lie with Statistics, by Darrell Huff. New York, W.W.Norton & Company, 1982 (ISBN 0-393-09426-X)