"Where there is number there is beauty." - (Proclus, 410-485)   Statistics: Our word statistics comes from the Latin words stato ("state") and statista ("one who serves the state" or "politician"). Statistics were originally facts or data that pertained to the state. Why was Herkimer delighted when his favorite sea gull found a mate? Answer: He believed that one good tern deserves another. Herky wants to know: If love is blind, why is lingerie so popular? If a person who plays the piano is a pianist, why isn't a person who drives a race car called a racist? ASSIGNMENT #71 Reading: Section 11.1, pages 605-608 (note the information in the box at the bottom of page 606). Exercises: Problems on handout sheets. (1) Sheet with 4 multiple choice, 2 essays. (2) Sheet with essay #6 from 1999 AP.

You are working in section 11.1.

Your assignment involves doing problem #6 on lastyear's AP Exam. Many test-takers confused parts (a) and (b), whichreference two distinct questions. Study this problemcarefully.

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.

=======================================

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)