*A. Linwood Holton
Governor’s School*

*Course
Syllabus*

**PROBABILITY and STATISTICS I
& II**

**Instructor: **Dr.
Bruce C. Norton

Voice: (276) 619-4352

E-mail:
*bnorton@hgs.k12.va.us*

**Course Description Summary: **Probability
and** **Statistics I covers descriptive statistics, elementary
probability, probability distributions, estimation, and hypothesis
testing. Probability and Statistics II
continues the study of estimation and hypothesis testing with emphasis on
curvilinear and nonlinear regression, analysis of variance, chi-square tests,
and non-parametric methods. Additional
material may be added at the discretion of the instructor.

**Dual Enrollment Credit:
**Statistics I: 3 hrs (MTH 241); Statistics II: 3 hrs (MTH 242)

**Prerequisites:** Algebra II

**Required
Text and Materials:** *Introduction
to the Practice of Statistics *(fifth edition)

by David S. Moore and George P. McCabe

with study guide and *EStat* Pack cd-roms;

Graphing Calculator;

Wacom Intuos 3 Pen Tablet

*Minitab Release 14 Student
Edition* software;

*ActivStats for Minitab* software;

*Chance Lectures* cd-rom.

**Course Objectives:
**This course is designed to introduce students to fundamental
techniques of probability calculation and statistical analysis. Students will learn basic mathematical tools
for effective experiment design, experimental results analysis, inference from
sampling data, and probability determination.
Class discussion will emphasize how statistics and probability relates
to contemporary topics of interest.

**Instructional Methods:** This course is taught in a lecture format via
the Internet using interactive audio and limited streaming video. Additional methods may include student
research projects, research papers, and analysis using computer software and/or
software development. Homework
assignments and tests are distributed and collected via E-mail, FAX, and/or
USPS.

**Evaluation Methods:** Grades will be based upon class
participation, homework and other out-of-class assignments, pop quizzes, tests
over both material from the text and material presented in class, other
supplementary assignments, and a comprehensive semester final exam. A grade assignment scale in accordance with
the Governor’s School Student Handbook (i.e., 90-100: A, etc.), both numerical
and letter, is used. Homework assignment
grades, test scores, and averaged grades may be scaled
upward at the discretion of the instructor.
There is no “extra credit.”

**Attendance:**
Students are expected to attend all classes. While in class, students
are expected to be attentive and prepared to talk if called upon. Therefore, students observed conducting any
activity not in keeping with the current class discussion (e.g., surfing the
internet, viewing party pictures, checking e-mail, having an instant message
program running) __will be removed from class for the
day and receive a grade of zero for the day__. [This grade of zero will be averaged with the
student’s quizzes as if an additional 60 point quiz was given and the student
in violation received a grade of zero for the quiz.]

It is the responsibility of students with scheduled absences
to notify the instructor in advance. It
is not the responsibility of the instructor to remember any student’s schedule. __Students must
contact the instructor well in advance of any test date which may be missed due
to an excused scheduled absence.__
Upon contact, an alternate test date, which must be __before__ the
announced date, may be scheduled at the discretion of the instructor. No
“make-up” exam after a scheduled exam date will be given. Students failing to obtain an alternate date
will receive a grade of zero for the missed graded work. In exceptional cases at the discretion of the
instructor, other exam grades may be averaged and the average grade calculated
subsequently used to replace the missed exam.

A numerical grade of zero will be immediately assigned for any missed graded assessment. The grade will be replaced with the earned assessment grade upon successful fulfillment of the policy, as stated above, regarding missed assessments. Any and all averages calculated using the zero will also be recalculated and grade change requests issued where required.

Students can be excused from class and/or class obligations
(test, etc.) __only by the Governor’s School Probability and Statistics instructor__.

**Assignment Submission:** All assignments must be submitted to the
instructor no later than the announced and/or posted due date. __No late submissions will be accepted__. An excused absence does not relieve the
student from their obligation to submit work by the announced due date. For example, if a scheduled absence will
occur on an assignment due date, the assignment must then be submitted prior to
the absence. (Exceptional cases will be
considered provided the instructor is notified and consulted as soon as
possible in advance of the due date.)
Technical failures, e.g., “internet down”, do not provide justification
to permit acceptance of late work.
“Waiting to the last minute” to submit work is at the student’s own
risk.

Mailed submissions must be postmarked no later than the due
date. It is always the student’s
responsibility to see that the assignment is mailed at a time and place to
ensure that this requirement is met.

All hand written assignment work - homework, test, and/or quiz - must meet the
guidelines listed in the *Assignment
Submission Guide*.

Hand written graded work is returned to the student as a PDF file E-mail attachment. The original paper work will not be returned.

**Code of Conduct:**
**ALL** homework assignments, projects, test, research papers,
computer projects, and in-class assignments are to be the work of the
individual student. That is, plagiarism,
cheating, and any other form of academic dishonesty are prohibited. __Unless explicitly permitted on an
individual assignment by the instructor, collaboration in any way on any
assignment will be considered a violation of the Governor’s School Code of
Conduct__ (

**Policy Applicability: **The policy stated in this syllabus as to
test dates, homework submission requirements, etc. supersedes any student’s
home school policy.

**Course Content:**

- Data
Distributions
- Graphical
Methods
- Mean,
Median, Mode, Variance, and Standard Deviation
- Normal
Distributions
- Data Relationships
- Scatterplots
- Correlation
- Least-Squares regression
- Experiment Design
- Probability
- Probability Models
- Random Variables
- Means and Variances of Random Variables
- General Probability Rules
- Probability and Inference
- Sampling Distributions for Sample Means and Proportions
- Manufacturing Control Charts
- Confidence Intervals
- Test of Significance: z test, t test, etc.
- Inference for Distributions and Proportions
- Inference for a Single Proportion and the Mean of a Population
- Comparing two proportions and comparing two means
- Inference for Two-Way Tables
- Chi-Square Test and z test
- Inference for Regression: Simple Linear Regression
- Multiple Regression and Non-Linear Regression by the Method of Least Squares
- One-Way Analysis of Variance
- The ANOVA hypotheses and model
- The F test
- Two-Way Analysis of Variance
- The two-way ANOVA model
- Nonparametric Tests
- Logistic Regression

Material may be added and/or deleted.

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