Download MATH 201: MATHEMATICS FOR ELEMENTARY TEACHERS I

STAT 141: INTRODUCTION TO STATISTICS
SYLLABUS
FALL 2005
INSTRUCTOR:
Dr. David M. Davison
PHONE:
657-2174
OFFICE HOURS:
(CEHS 207)
MW: 2:00 – 4:00; F: 8:30 – 10:30
e-mail: [email protected]
COURSE DESCRIPTION The purpose of this course is to present the main ideas that
statistics has to offer the intelligent outsider. The aim is to make explicit the issues
behind the statistical procedures, free of unnecessary technicalities. To this end algebra is
avoided and the focus of the course is kept on the purpose of the procedures being
studied, that is, on the scientific questions being answered.
PREREQUISITE: Math 105 or equivalent.
TEXTBOOK: Freedman, D., et al. (1998). Statistics (3rd edition). NY: Norton
COURSE OUTLINE
1.
Descriptive Statistics. Topics include design of experiments, histogram, average,
standard deviation, interquartile range, percentiles, and the normal curve as an
approximation to empirical data.
2.
Correlation. Examples investigating relationships between two or more variables
are considered.
3.
Probability. The frequency definition of probability is used, and the
multiplication and addition laws are studied.
4.
Chance Variability. The law of large numbers and the Central Limit Theorem are
included.
5.
Sampling. Simple random sampling for percentages and averages is covered in
detail; an overview is given of large scale sample methods.
6.
Tests of Significance. Topics will focus on two sample z-test.
SCHEDULE
Sept
07
Course Orientation; Controlled experiments (Ch. 1)
09
Observational studies (Ch. 2)
12
Observational studies (Ch. 2): discussion of problems
14
Histogram (Ch. 3)
Oct
Nov
16
Histogram (Ch. 3)
19
Average and standard deviation (Ch. 4)
21
Average and standard deviation (Ch. 4)
23
Normal approximation for data (Ch. 5)
26
Normal approximation for data (Ch. 5)
28
Measurement error (Ch. 6)
30
Review Chapters 1 – 6 (Parts 1, 2)
03
EXAM 1
05
Correlation (Ch. 8)
07
Correlation (Ch. 8)
10
Correlation (Ch. 9)
12
Review session
14
What are the chances? (Ch. 13)
17
More about chance (Ch. 14)
19
The law of averages (Ch. 16)
21
The law of averages (Ch. 16)
24
Expected value and standard error (Ch. 17)
26
Expected value and standard error (Ch. 17)
28
Normal approximation for probability histograms (Ch. 18)
31
Normal approximation for probability histograms (Ch. 18)
02
Review Chapters 8, 9, 13, 14, 16 –18 (Parts 3, 4, 5)
04
EXAM 2
07
Sample surveys (Ch. 19)
Dec
09
Chance errors in sampling (Ch. 20)
14
Chance errors in sampling (Ch. 20)
16
Accuracy of percentages (Ch. 21)
18
Accuracy of percentages (Ch. 21)
21
The accuracy of averages (Ch. 23)
28
The accuracy of averages (Ch. 23)
30
Tests of significance: z-test (Ch. 26)
02
Tests of significance: z-test (Ch. 26)
05
Review Chapters 19 –21, 23, 26 (Parts 6, 7)
07
EXAM 3
09
Cumulative Review
12
FINAL EXAM (8:00 – 9:50)
COURSE REQUIREMENTS
1.
Homework and quizzes (100 points)
Homework will be assigned weekly and quizzes may be given periodically.
2.
Three exams (300 points)
Each exam will cover the designated chapters.
Note: The final exam may be used to replace chapter tests.
GRADING
A:
D:
360 – 400
240 – 279
B:
F:
320 – 359
Below 240
C:
280 - 319
Notes
1.
University assessment standards for all math classes call for the
development of critical thinking, imaginative thinking, normative
thinking, and problem solving. The development of these skills will be
facilitated by the use of the textbook and the organization of the course
(through cooperative groups).