Syllabus for Math 333 (Mathematical
Statistics II)
Spring 2014 Semester at Lycoming College
Course Content
MATH
332333 is a twocourse 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; onesample and twosample hypothesis tests;
oneway analysis of variance; chisquare 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.
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).

Tutoring
General
Tutoring is not available this
semester.
Instructor(s)
Name 
Office Location 
Office Hours 
Office
Phone 
Dr. Gene Sprechini 
Academic
Center D311 
Mon 9:30 to 10:00 AM Tue 10:00 to 11:00 AM Wed 9:30 to 10:00 AM Fri 9:30 to 10:00 AM 
(570) 3214288 
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% 
Required Materials
Each
student must have
·
a copy of the
textbook: Probability and Statistical
Inference, 8th edition, by Hogg and
·
a threering
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 uptodate and complete.)
·
a calculator
(preferably a TI84 calculator, but almost any calculator will be satisfactory)
Course Links
Some WellKnown
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 uptodate and wellorganized, 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 downgraded 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 fourcredit 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.