Syllabus for Math 333 (Mathematical Statistics II)
Spring 2016 Semester at Lycoming College
Course Content
MATH 332-333 is a two-course sequence. The first course is a study of
basic probability theory; discrete, continuous, and mixed random variables;
expected values; moments; univariate probability distributions including the
hypergeometric distribution, Bernoulli and binomial distributions, geometric
and negative binomial distributions, Poisson distribution, discrete and
continuous uniform distributions, exponential and gamma distributions,
chi-square distributions, and normal distributions; joint probability
distributions including the multivariate hypergeometric distribution,
multinomial distribution, and bivariate normal distribution; covariance and
correlation; and conditional probability distributions. This second course is
a study of distributions associated the normal distribution; sampling
distributions; the Central Limit Theorem; Chebyshev’s inequality; sampling
distributions; order statistics; estimation; confidence intervals for means
variances, and proportions; one-sample and two-sample hypothesis tests;
one-way analysis of variance; chi-square tests; regression with
corresponding confidence intervals and hypothesis tests.
Course Goals
Goals for this course include developing critical thinking skills, and the
abilities to apply techniques of calculus (i.e., derivatives, integration, infinite
series) to assess the probability of an event, to interpret the result of a
statistical study, and to solve mathematical problems with the use of
technology.
Spring 2016 Syllabus for MATH 333 (Mathematical Statistics II) - Page 1
Who Should be Taking This Course
This course a requirement for the actuarial mathematics major and an
elective choice toward the mathematics major. It also satisfies the statistics
requirement secondary certification students in mathematics. The
prerequisites are MATH 332 (Mathematical Statistics I) and MATH 238
(Multivariable Calculus).
Instructor(s)
Name
Office Location
Office Hours *
Dr. Gene
Academic Center Mon 1:00 PM to 1:50 PM
Sprechini
D311
Tue 11:00 AM to 11:50 AM
Wed 1:00 PM to 1:50 PM
*You may of course also see your instructor by appointment
Office Phone
(570) 321-4288
Tutoring
Tutoring is available this semester at the Math Center.
Lycoming College provides academic support for students who officially
disclose diagnosed learning, physical, and psychological disabilities. If you
have a diagnosed disability and would like to seek accommodations, please
contact Jilliane Bolt-Michewicz, Assistant Dean of Academic
Services/Director of the Academic Resource Center. Dean Bolt-Michewicz
will help you arrange for appropriate academic accommodations. She can
be reached by calling (570) 321-4050, emailing michewicz@lycoming.edu,
or visiting her office (Academic Resource Center, 3rd Floor of Snowden
Library).
Spring 2016 Syllabus for MATH 333 (Mathematical Statistics II) - Page 2
Item
Homework
Semester Exams
Final Exam
Attendance
Grading
Point Values and Policies
Homework assignments are given at the end of each class; at the end of
each class, the assignment due for the following class is announced and
posted in red on the course schedule. The total number of possible
homework assignment points for the semester will most likely be
somewhere between 450 and 550.
Late work is never accepted for any reason. If within 24 hours a
student gives a legitimate reason (as judged by the instructor) for not
submitting an assignment on time, an alternative assignment and due
date may be given to allow student to earn the missed points;
assignments not submitted should be completed for practice and
answers checked with a classmate, a tutor, or the instructor. A student
who misses submitting more than 8 homework assignments
automatically fails the course.
Six semester tests are given, one about every two weeks; specific dates
are available from the course schedule. Each semester test is worth
100 points, so that the total number of possible test points for the
semester is 600. For each missed test, a grade of zero is recorded,
unless (1) the instructor is presented with documented evidence of a
medical reason for not completing the test at the scheduled time, and
(2) arrangements to make up the test are made within 24 hours of the
originally scheduled exam time. While each test covers primarily the
course material for the two or three weeks prior to the test, test
questions may come from any previously covered material (i.e., each
test could be considered cumulative).
The final exam (administered during final exam week) is worth 350
points.
The final course grade percentage is reduced by 4% for each unexcused
absence after the third unexcused absence; an absence is considered to
be excused when the instructor accepts an email from the student
explaining the reason for the absence. It is the student’s responsibility
to find out what was missed in class and keep up with the coursework.
Students can get a copy of class notes from the instructor, from a tutor,
or from a classmate. A student with more than 10 unexcused
absences automatically fails the course.
Continued Next Page 
Spring 2016 Syllabus for MATH 333 (Mathematical Statistics II) - Page 3
A total of somewhere between 1400 and 1500 possible points can be earned. The final
course letter grade is determined from the percentage of points earned out of the total
number of possible points, as follows:
A = above 93.33%
A– = 90% to 93.33%
B+ = 86.67% to 90%
B = 83.33% to 86.67%
B– = 80% to 83.33%
C+ = 76.67% to 80%
B = 73.33% to 76.67%
B– = 70% to 73.33%
D+ = 66.67% to 70%
B = 63.33% to 66.67%
B– = 60% to 63.33%
F = below 60%
Required Materials
Each student must have
 a copy of the textbook: Probability and Statistical Inference, 9th
edition, by Hogg, Tanis, and Zimmerman (Pearson, ISBN-13:
978-0-321-92327-1)
 a three-ring binder containing copy of this syllabus, the course
schedule, class notes, completed assignments, etc. (Note: Since
students will need to use this binder every day in class and will be
allowed to use this binder for exams, the binder should be kept
up-to-date and complete.)
 a calculator (preferably a TI-84 calculator, but almost any calculator
will be satisfactory)
Course Links
Course Schedule
Tutoring
Some Well-Known Sums and Series
A Useful Trigonometry Review
Using SPSS for Windows
Selecting the Proper Statistical Procedures
Spring 2016 Syllabus for MATH 333 (Mathematical Statistics II) - Page 4
Tips for Success in This Course
(1) Keep up with the homework - understanding every homework
assignment as completely as you can is the key to grasping the course
material. Even though there will be some homework assignments that you
may not be required to submit, do them anyway, since they will help you
master the material. Check all your homework answers with a tutor or with
the instructor in recitation before submitting an assignment.
(2) As part of your preparation for exams, do all suggested “Exercises for
Practice” listed on the course schedule; these were not assigned for
homework submission and have the answers in the back of the textbook.
Also, about a week before the exam date, do the review sheet for the exam,
which is posted on the course schedule web page; don't wait for the night
before the exam.
(3) Get your questions answered quickly by the tutor, the course instructor,
or a classmate.
(4) Keep your binder up-to-date and well-organized, since you are allowed
to use the binder for exams.
General Standards and Policies
All work submitted must be of professional quality. All paper must be neat,
without ragged edges, rips, tears, smudges, stains, etc. All answers must be
clear, complete, and concise; handwriting must be legible. If the instructor
can't read it, it's wrong. Assignments may be down-graded if these standards
are not met.
It can be very helpful for some students to work together on daily
assignments and to study together; this is encouraged when it does not result
in one student simply copying another's work with no understanding. Acts
of academic dishonesty will result in a grade of F for the course, and a letter
to the Dean describing the circumstances. If you are having problems in the
course, talk to the instructor; don't involve yourself in academic dishonesty.
With each assignment submitted, students are expected to write a short note
at the end of the assignment indicating from whom help was received and to
whom help was given (but this does not affect the grade for the assignment).
The following is from the FACULTY HANDBOOK in the section titled
Student Course Load:
"It is expected that students will spend, in preparation for courses, two hours
of study time outside the classroom for every hour of credit in the
classroom."
Spring 2016 Syllabus for MATH 333 (Mathematical Statistics II) - Page 5
This means that you should be prepared to spend, on average, eight hours
per week outside of class working on a four-credit course; however, this will
vary from student to student and from course to course. Your time will be
spent reading the text, reviewing class notes, and completing homework
exercises.
If you encounter a problem while working on assignments, do not spend
more than 20 or 30 minutes trying to solve the problem; if you cannot
solve a problem in 20 or 30 minutes, even with the help of a tutor or
classmate, work on something else and show the problem to the
instructor of the course as soon as possible.
Spring 2016 Syllabus for MATH 333 (Mathematical Statistics II) - Page 6