"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)
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.
What does Herkimer call a lazy butcher?
Answer: A meat loafer.
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.
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...
= 100(.3) = 30
x= sqrt[100(.3)(.7)] =4.5826
p(hat)= sqrt[(.3)(.7)/100] =.045826
LINK TO SECTIONSUMMARIES
LINK TO STATISTICS HOMEPAGE
The Practice of Statistics, by Yates, Moore, McCabe. New York,W.H. Freeman and Company, 1999. (ISBN 0-7167-3370-6)
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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