"People who don't count won't count." - (Anatole France, 1844-1924) "Mighty is geometry; joined with art, resistless." - (Euripides, 480 - 406 B.C.) Arthur Cayley, 1821-1895: An English mathematician who founded the theory of quantics (algebraic functions with two or more variables), Cayley also devised a noncommutative matrix algebra and contributed significantly to quantum mechanics and the theory of manifolds. When Herkimer lived in a grass hut, why wouldn't he allow a friend to store a royal chair in his dwelling? Answer: He was told that people who live in grass houses shouldn't stow thrones.   Herky wants to know: When cheese gets its picture taken, what is it supposed to say? Since croutons are stale bread to begin with, why do they come in airtight packages? ASSIGNMENT #68 Reading: Section 11.1 (pages 586-596) Cartoon Guide to Statistics (pages 107-109) Section 11.1 Section Summary (Herkimer's Hideaway) up to Example 2 Exercises: None, but read carefully. Study the examples in the reading.

You are working in Section 11.1

When sample sizes are small and the populationstandard deviation is not known, statisticians make use of thet-distribution. This distribution is bell-shaped, but it differs from the normaldistribution. (Page 108 of CartoonGuide displays some nice pictures.) There is a t-distribution table that differs from the normaldistribution table. As sample sizes get larger, the t-distributionapproaches the normal distribution in shape. In a one-sample test,the degrees of freedom (needed to use the table) is one less than thesample size.

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Text:
The Practice of Statistics, by Yates, Moore, McCabe. New York,W.H. Freeman and Company, 1999. (;l 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)