"In the judgment of most competent living mathematicians, Fraulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began. In the realm of algebra, in which the most gifted mathematicians have been busy for centuries, she discovered methods which have proved of enormous importance in the development of the present-day generation of mathematicians." - (Albert Einstein)   Emmy Noether (1882-1935): Making considerable contributions to modern abstract algebra, the German-born Noether was a primary investigator of the structure of noncommunitative algebras. She developed much of the modern theory of mathematical rings and ideals. Overcoming both prejudice against women and the rise of Adolph Hitler in Germany (Noether was Jewish), she became an outstanding teacher at Bryn Mawr College and at the Institute of Advanced Study at Princeton. Her unexpected death in 1935 as a result of an operation to remove a tumor shocked the mathematical world. How did Herkimer keep insects out of his haunted house? Answer: He put up scream doors. Herky wants to know: If people from Poland are called Poles, whey aren't people from Holland called Holes? If someone offers you a penny for your thoughts and you put in your two cents worth, what happens to the other penny? ASSIGNMENT #69 Reading: Review Section 11.1, as necessary. Exercises: 11.3, 11.4, 11.5 (page 591) 11.6, 11.7, 11.8, 11.9, 11.10 (page 597)

You are working in Section 11.1.

Rules for using the t-test:

• The assumption of an SRS is important.
• Ideally, the sample comes from a normal population. However, many interesting populations are not normal. Here are situations when the t-test can be used when a sample is taking from a population that might not be normal.
For sample sizes less than 15, the t-test can be used if the data are close to normal. Do not use t-procedures if the data are clearly nonnormal or if outliers are present.

For sample sizes 15 or greater, t-procedures can be safely used except in the presence of outliers or strong skewness.

For samples sizes 40 or greater, t-procedures can be used even if the data is heavily skewed.

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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)