Math 207, Probability and Statistics
Spring Semester, 2011
Dr. Evelyn Bailey
Office hours:
Posted weekly on the class conference
Readers:
How to Lie With Statistics
by Darrell Huff
Super Crunchers
by Ian Ayres
Materials:
Typed formal notes with homework problems, class notes, and articles are
provided on the Learnlink class conference; a calculator (TI-84, or equivalent).
Content:
Probability, Bayes Theorem, counting, probability functions (in general),
Chebyshev’s Theorem, discrete distributions (binomial, hypergeometric, Poisson,
uniform), continuous distributions (Exponential, Normal, Uniform), Central Limit
Theorem, visual displays of data, measures of central tendency and of variability,
classification of data, Confidence Intervals, Hypothesis Testing (for means and for
proportions, for one and two samples), Chi Square goodness of fit tests and Contingency
Tables, one-way ANOVA, simple linear regression and correlation, nonparametric tests
(median, Wilcoxon Rank Sum Test, Kruskal-Wallis Test).
The first half uses calculus to
explore concepts of probability upon which statistics is based.
Goals:
At the end of this course students should be able to:
*
work various probability problems,
*
understand the role of functions in statistics,
*
categorize data,
*
recognize several standard distributions,
*
analyze interval data involving difference of means, difference of proportions,
*
check for inherent assumptions for the statistical models in this course,
*
interpret relationships in bivariate data,
*
compare distributions of responses,
*
analyze data using rankings (nonparametric statistics),
*
understand the role of statistics in analyzing data and in inference.
*
describe major misuses of statistics,
In addition, each student will be expected to participate in a class project that
includes gathering and analyzing data, writing a formal report, and presenting this report
to the appropriate audience.
Grading
:
Grades will be determined by student performance on four different problem
sets, two group experiments, a class project, responses to the readers, and a final exam.
The total sum of points for each student determines the student's grade.
Points are determined as follows:
4 problem sets @ 100
400
2 small group experiments @ 50
100
1 Class Project
140
4 Responses to the Readers @40
160