"One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories." -- (Philip J. Davis, 1964)

Math History Tidbit:

The Bernoulli Family. For 200 years, no fewer than eleven members of this remarkable family made contributions to mathematics. Four family members are mentioned here:

Nicholas I (1695-1726) developed properties of curves, differential equations, and calculus.

Daniel I (1700-1782) wrote books about probability, astronomy, physics, and hydrodynamics.

Johann II (1710-1790) wrote about the mathematical theory of heat and light.

Johann III (1744-1807) wrote many papers on astronomy, the doctrine of chance, recurring decimals, and indeterminate equations.


Herkimer's Corner

What does Herkimer call a lazy butcher?

Answer: A meat loafer.

Herky's friends:

TRUDY AGES...she really liked to study history.

CARY A. LOAD...this guy is a truck driver.


Reading: In the Cartoon Guide to Statistics, read pages 89-103 (you should see some familiar stuff here.)

Exercises: (Page 479)/9.22, 9.23, 9.24, 9.25. Respond carefully and intelligently.

Items for reflection:

You are in Section 9.2

It is suggested that you read the SectionSummaries for 9.1 and 9.2 if you haven't already done so.

What follows should make sense:

Assume you have a 30% YES population.You take an SRS of size 100. If x is the number of YESSES in thesample, then the possible values of x are 0,1,2,...,99, 100. Ifp(hat) is the proportion of YESSES in the sample, then the possiblevalues of p(hat) are 0, .01, .02, ..., .99, 1. Then...

mx = 100(.3) = 30

sx = sqrt[100(.3)(.7)] =4.5826

mp(hat) = .3

sp(hat) = sqrt[(.3)(.7)/100] =.045826





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)

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