Syllabus for Math 332 (Mathematical
Statistics I)
Fall 2015 Semester at Lycoming College
Course Content
MATH
332-333 is a two-course sequence. This
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. The 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; regression with corresponding
confidence intervals and hypothesis tests; time-permitting, one-way analysis of
variance and/or chi-square 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.
Who Should
be Taking This Course
This
course is a requirement for the actuarial mathematics major and an elective
choice toward the mathematics major. It
also satisfies the statistics requirement for secondary certification students
in mathematics. The corequisite
is MATH 238 (Multivariable Calculus).
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). |
Tutoring
Free
Tutoring is available in the Math
Center, on the third floor of the Snowden Library, for students who want to
check homework answers for errors, get help doing homework, and ask questions
about class work. While tutors may need
to give some detailed explanations to help students with questions, it is not
the tutors’ job to teach material from scratch.
(Students who miss class should get a copy of class notes from the
instructor, from a tutor, or from a classmate.
It is then the student’s responsibility to review the material, update
notes, and direct any questions to a tutor, the instructor, or a classmate.)
Required Materials
Each
student must have
·
a copy of the
textbook: Probability and Statistical
Inference, 9th edition, by Hogg, Tanis, and Zimmerman (Pearson, ISBN
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 binders should be kept up-to-date and complete.)
·
a calculator
(preferably a TI-84 calculator, but almost any calculator will be satisfactory)
Instructor(s)
Name |
Office Location |
Office Hours |
Office
Phone |
Dr. Gene Sprechini |
Academic
Center D311 |
Mon 9:30 to 10:00 AM Tue 9:45 AM to 10:15 AM Wed 9:30 to 10:00 AM Fri 9:30 to 10:00 AM |
(570) 321-4288 |
Grading
Item |
Point Values
and Policies |
Homework |
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 10 homework assignments automatically
fails the course. |
Semester Exams |
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). |
Final Exam |
The
final exam (administered during final exam
week) is worth 350 points. |
Attendance |
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. |
There
is a total of A total of somewhere between 1400 and 1500 possible points that
can be earned. The final course grade
percentage is the percentage of points earned out of the total number of
points that can be earned. The final
course letter grade is determined from the following: 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% C =
73.33% to 76.67% C– = 70%
to 73.33% D+
= 66.67% to 70% D =
63.33% to 66.67% D– = 60%
to 63.33% F
= below 60% |
Course Links
Some Well-Known
Sums and Series
Selecting the Proper
Statistical Procedures
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 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 - start working on
these about a week before the exam date; 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."
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.