I. Course No. and Title: MTH 2350 WB Probability and Statistics
Semester Hours: 4 s.h.
Semester and Year: Fall 2022
Day and Time: Online only
II. Instructor Name: Dr. Susan Toma
Office: S217-S Franciscan Center
Telephone: (734) 432-5525
E-mail Address: stoma@madonna.edu (Preferred method of contact)
Office Hours: Via Zoom in Blackboard on Thursdays at 10:00am or by appointment
*Email should be used for private communications between the instructor and the individual student and
should not be used to discuss any topic that might be of concern to more than the individual student. I will
check my email at least once a day and *may* or may not check my email on the weekend. This means
you can expect a reply to your email within 24 hours. In the case of the weekend, if you send an email on
Friday, you may not receive a reply until Monday afternoon.
III. Course Description
Topics include data collection and graphic presentation; measures of central tendency; measures of
dispersion; normal and binomial distributions; regression and correlation; sampling methods; design of
experiments; probability and simulation; sampling distributions; statistical inference including confidence
intervals and hypothesis testing for one-sample and two-sample problems; chi-square distribution and test
of significance; ANOVA. Prerequisite: MTH 1040 or placement based on the mathematics sub-score of the
SAT/ACT standardized test or departmental placement exam.
IV. Course Objectives/Learning Outcomes
Upon successful completion of this course, students will be able to:
A. Display and analyze data using graphs and numerical summaries.
B. Analyze distributions of random variables and examine relationships among several variables.
C. Describe statistical designs and sampling methods for producing data and identify sources of bias.
D. Understand the role of probability in generating sampling distributions and apply the rules of probability.
E. Apply statistical inference methods, including confidence intervals and tests of significance, to draw
conclusions about populations based on sample data and assess the reliability of the conclusions.
This course fulfills Core Curriculum Goal 5 – Mathematics
V. Required Text
Moore, David S.; William I. Notz; Michael A. Fligner. The Basic Practice of Statistics, 8
th Ed. 2018. W. H.
Freeman & Co. ISBN 9781319042578
Calculator Requirement: TI-84 Plus Graphing Calculator
- 2 –
VI. Time Commitment Expected per Semester-Hour Credit
Earning one semester hour of undergraduate credit requires a minimum of one hour of classroom or direct
instruction each week for a full semester and a minimum of two hours of out-of-class student work each
week for a semester, or its equivalent.
An equivalent amount of work (minimum three hours per week for a semester, or its equivalent of combined
direct instruction and outside-of-class student work) is used as the measurement for a credit hour in other
credit-bearing activities, such as laboratory experiences, service-learning, internships, practica, clinicals,
studio work, and other academic experiences.
VII. Attendance and Other Policies
Participation Policy
As this is an on-line course, there are no classes to attend. However, there is an expectation of class
participation. Since ultimately, the student is responsible for all material covered in class, participation in
on-line discussions and timely completion of assignments is expected. It is the students’ responsibility to
check their @my.madonna.edu and Course Blackboard shell on a regular basis (at least three-five times
per week).
Posting in the Introductions Discussion Board forum is required.
Participating in the “Chapter Discussions” forum is optional, but it is recommended to post any of the
following in this forum:
• questions pertaining to the homework or lecture or calculator usage,
• answers to questions posted by other students,
• links to helpful websites that clarify the chapter’s topics
It is expected that these threads are posted with a respectful tone and correct spelling and grammar. Also,
the subject of each discussion post should be clearly labeled. If the subject pertains to a specific homework
problem, then include the problem number in the subject line.
It is highly recommended that all students enroll in the RAVE ALERT University notification system through
the student’s Portal Access.
VIII. Grading Computation
The final grade composite is as follows:
Assignment Quantity Points
Homework 20 (4 points each) 80
Chapter Exams 2 (50 points each) 100
Quizzes 5 (12 points each) 60
Cumulative Final Exam 1 60
Total Points: 300
The student’s total points earned will be converted to a letter grade via the following scale:
300 – 279 = A 278 – 270 = A- 269 – 261 = B+
260 – 249 =B 248 – 240 = B- 239 – 231 = C+
230 – 210 = C 209 – 201 =D+ 200 – 180 = D
below 180 = F
IX. Expectation of Integrity
(Full descriptions of University policy are available in the Student Handbook and Bulletin)
A. Academic Integrity - 3 –
All work submitted must represent independent academic and intellectual work. Plagiarism involves the
use of words, data, images, or ideas of others without giving credit to the source. Academic
dishonesty in any form is treated as a serious offense, with consequences that can range from a
failing grade on the assignment to potential expulsion from the university, any of which can be
damaging to a student’s academic and professional career.
B. Professional Integrity
Professional integrity involves a sense of commitment to career success, high standards for ethical
behavior, and the capacity for leadership in any setting. Civility and respect in all interactions with
others is essential to a positive learning experience. Disruptive behavior, even of the mildest form, is
inappropriate. Students are expected to come to class prepared, follow both University and course
directives, observe all safety policies, and conduct themselves with professional demeanor.
X. Student Resources
It is the policy and practice of Madonna University to promote inclusive learning environments. If you identify
the need for support services, a list is available for review through Blackboard by clicking the Resources
button or by selecting Resources on the Madonna home page.
XI. Student Evaluation of Faculty Instruction (SEFI)
Students are invited to evaluate every course every semester, utilizing the University’s online Student
Evaluation of Faculty Instruction (SEFI) system. This is accessed from the opening page of the University’s
Website from the “Quick Links” drop-down box or by following link:
https://ww4.madonna.edu/mucfweb/ssl_forms/student_opin/StudentGUI/login.cfm
Your instructor will inform you when during the semester the SEFI can be accessed.
XIII. Emergency Continuation of Instruction
In the event of a city-wide or regional crisis or emergency that prevents students from traveling to campus
(such as a flu epidemic), course instruction will be continued on the class’s Blackboard site, provided that
campus technology and electricity are operating. If campus facilities, technology, and electricity are not
operational, students should continue doing their reading and assignments until they receive communication
from the instructor or the University.
XIV. Assignments and Miscellaneous Information
• Important dates:
First Day of Term: Monday, August 29, 2022
Last Day of Term: Saturday, December 17, 2022
• Expectations:
o As this is an online course, students are expected to have strong technology skills in order to
complete the required assignments. This is NOT just a Blackboard course.
o The content-delivery of this course will include the Class Blackboard, Madonna Email, and various
external Internet sources.
o Students are expected to read the text and lecture notes as well as complete all homework
assignments and exams.
o All required assignments will be posted in a weekly folder under ‘Course Modules/Materials’ with the
specific assignments listed for that week along with that week’s lecture. - 4 –
o Instructions on calculator commands will be given weekly in the corresponding week’s modules under
“Course Modules/Materials.” It is required that students apply these calculator commands while
completing the homework problems to make it easier to apply these commands while taking exams.
o It is recommended that students visit the website http://www.youtube.com/user/MadonnaUSI#p/u,
which was created by Madonna Supplemental Instruction (SI) students to help students in MTH 2350.
• Homework:
o Homework is assigned weekly under ‘Course Modules/Materials’ and consists of textbook problems.
o Each homework assignment will be posted on Monday at midnight and will be due on the following
Sunday by 11:59pm.
o Late homework submissions will not be accepted.
o No homework score will be dropped.
o Final answers to the homework questions are provided in the back of the textbook, but students are
required to follow each problem’s directions and show their detailed solutions and graphs to obtain full
credit. Homework submissions with only the final answers from the back of the textbook will not be
given any credit.
o The homework must be handwritten with the student’s name and ID number at the top of each page.
The written assignments must then be digitized (scanned into an electronic file or digitally
photographed).
o Combine all the pages into a single pdf or docx file, with no zip folders or .jpg attachments.
Then attach the homework file and submit it to the instructor via the Assignment Tool in Blackboard
(Click on Ch.# HW where you see the list of textbook problems to attach and submit the homework
there).
o Homework will be graded based on effort, rather than accuracy, since students already have access
to the answers in the back of the textbook.
o For each new calculator function that is discussed, take a picture of the output screen and add it to
the homework file. Only one such picture for each newly discussed statistical command is required
per assignment to demonstrate the application of the new function for any homework problem of your
choice. There is no need to add pictures of regular arithmetic steps being done on the calculator. In
addition, draw any graphs on the homework page by hand, labeling the axes and choosing
appropriate scales. Points will be deducted for not including calculator pictures.
o We will not use Table A. Therefore, always write down in your homework the calculator commands
“normalcdf” and “invnorm” that you used to obtain the solutions to the corresponding problems. No
credit will be given to problems where you only show how to obtain the solutions using Table A and
not the calculator.
• Quizzes:
o Quizzes may be taken at any time during the week that they are assigned.
o In addition to the three “chapter” quizzes outlined in the Course Schedule, there is a syllabus quiz and
the “Introduction” discussion forum will also count as a quiz.
o Each of the three “chapter” quizzes is due by Sunday at 11:59pm EST.
o There are no make-up quizzes.
o No quiz score will be dropped. - 5 –
• Exams:
o Exams will be available on Tuesdays as given in the Course Schedule. All exams will be closed by
11:59PM on the scheduled exam days.
o If you do not complete an exam, your score will be zero for that exam.
o The final exam is cumulative.
o No exam score will be dropped
• Math Club:
All interested students, regardless of major/minor, are invited to join the Math Club Student Organization
at Madonna University. Please contact math.club@my.madonna.edu for more information.
XV. Course Schedule: This schedule is subject to change.
Dates/Modules Chapters/Assignments
(Homework and Quizzes are due on Sundays; Exams are due on Tuesdays)
Mon. 8/29 – Sun. 9/4
Module 1
• Introductions Discussion (Graded as a Quiz)
• Syllabus Quiz
Chapter 1: Picturing Distributions with Graphs
Homework:
• Apply Your Knowledge: 1.1, 1.3, 1.5, 1.9, 1.11
• Exercises p. 37: 23, 25, 27, 31, 33, 35, 37, 39, 43
• Required calculator picture: Histogram graph
Chapter 2: Describing Distribution with Numbers
Homework:
• Apply Your Knowledge: 2.1, 2.3, 2.7- 2.13 odd
• Exercises p. 68: 25 – 31 odd, 51
• Required calculator pictures: 1-Var Stats and a Boxplot graph
Mon. 9/5 – Sun. 9/11
Module 2
Chapter 3: The Normal Distributions
Homework:
• Apply Your Knowledge: 3.1-3.13 odd
• Exercises p. 95: 27-37 odd, 41
• Required calculator pictures: normalcdf and invnorm
Mon. 9/12 – Sun. 9/18
Module 3
• Quiz Ch. 1 – 3
Chapter 4: Scatterplots and Correlation
Homework:
• Apply Your Knowledge: 4.1 – 4.11 odd
• Exercises p. 119: 27-33 odd, 39, 45
• Required calculator pictures: correlation coefficient r and a scatterplot
Chapter 5: Regression
Homework:
• Apply Your Knowledge: 5.1, 5.3, 5.5, 5.7, 5.9, 5.13, 5.15, 5.19
• Exercises p. 155: 31, 33, 39, 49, 59
• Required calculator pictures: equation and graph of the least squares regression line (𝑦 =
𝑎𝑥 + 𝑏) - 6 –
Mon. 9/19 – Sun. 9/25
Module 4
Chapter 8: Producing Data – Sampling
Homework:
• Apply Your Knowledge: 8.1 – 8.15 odd
• Exercises p. 224: 27, 29, 31, 33, 35, 39, 41, 47
• Required calculator picture: None
Chapter 9: Producing Data – Experiments
Homework:
• Apply Your Knowledge: 9.1 – 9.17 odd
• Exercises p. 249: 29-43 odd, 47
• Required calculator picture: None
Mon. 9/26 – Sun. 10/2
Module 5
• Exam 1 (Chapters 1-5, 8-9) is due on Tuesday
Chapter 12: Introducing Probability
Homework:
• Apply Your Knowledge: 12.1, 12.5-12.13 odd, 12.17, 12.19
• Exercises p. 297: 33, 35, 37, 41, 43, 45, 47, 53
• Required calculator picture: None
Mon. 10/3 – Sun. 10/9
Module 6
Chapter 13: General Rules of Probability
Homework:
• Apply Your Knowledge: 13.1 – 13.15 odd
• Exercises p. 325: 29, 35, 37, 39, 45, 47, 49, 53
• Required calculator picture: None
Mon. 10/10 – Sun. 10/16
Module 7
Chapter 14: Binomial Distributions
Homework:
• Apply Your Knowledge: 14.1 – 14.11 odd
• Exercises p. 345: 23 – 35 odd
• Required calculator pictures: binompdf and binomcdf
Mon. 10/17 – Sun. 10/23
Module 8
Chapter 15: Sampling Distributions
Homework:
• Apply Your Knowledge: 15.1 – 15.11 odd (use Table B line 101 for 15.7)
• Exercises p. 372: 25 – 33 odd
• Required calculator picture: None
Mon. 10/24 – Sun. 10/30
Module 9
• Quiz Ch. 12 – 15
Chapters 16: Confidence Interval – The Basics
Homework:
• Apply Your Knowledge: 16.1, 16.5, 16.7 16.9
• Exercises p. 389: 19 – 25 odd
• Required calculator picture: ZInterval - 7 –
Mon. 10/31 – Sun. 11/6
Module 10
Chapter 17: Tests of Significance – The Basics
Homework:
• Apply Your Knowledge: 17.1 – 17.17 odd (use calculator instead of the applet for problem
17.11)
• Exercises p. 408: 29, 31, 35-41 odd
• Required calculator picture: ZTest
Chapter 18: Inference in Practice
Homework:
• Apply Your Knowledge: 18.1 – 18.7 odd, 18.13, 18.15
• Exercises p. 430: 29, 31, 33, 41, 43, 45
• Required calculator pictures: None
Mon. 11/7 – Sun. 11/13
Module 11
Chapter 20: Inference about a Population Mean
Homework:
• Apply Your Knowledge: 20.1 – 20.13 odd
• Exercises p. 471: 25-35 odd, 39, 41, 49
• Required calculator pictures: TInterval and TTest
Mon. 11/14 – Sun. 11/20
Module 12
• Exam 2 (Chapters 12-18, 20) is due on Tuesday
Chapter 21: Comparing Two Means
Homework:
• Apply Your Knowledge: 21.1 – 21.7 odd, 21.11, 21.13
• Exercises p. 498: 25, 27, 29, 33, 35, 37, 43
• Required calculator pictures: 2-SampTInt and 2-SampTTest
Mon. 11/21 – Sun. 11/27
Module 13
Chapter 22: Inference about a Population Proportion
Homework:
• Apply Your Knowledge: 22.1 – 22.13 odd
• Exercises p. 523: 25 – 35 odd, 39
• Required calculator pictures: 1-PropZInt and 1-PropZTest
Chapter 23: Comparing Two Proportions
Homework:
• Apply Your Knowledge: 23.1, 23.5, 23.7
• Exercises p. 543: 17, 23, 25, 29
• Required calculator pictures: 2-PropZInt and 2-PropZTest
Mon. 11/28 – Sun. 12/4
Module 14
• Quiz Ch. 21 – 23
Chapter 25: Two Categorical Variables – The Chi-Square Test
Homework:
• Apply Your Knowledge: 25.1-25.7 odd, 25.11, 25.13, 25.15
• Exercises p. 594: 31, 33, 35, 39, 41, 45
• Required calculator picture: Chi-Square Test
Mon. 12/5 – Sun. 12/11
Module 15
Chapter 27: One-Way Analysis of Variance – Comparing Several Means
Homework:
• Apply Your Knowledge: 27.1, 27.3, 27.7, 27.11
• Exercises p. 665: 29, 31, 33, 35
• Required calculator picture: ANOVA - 8 –
Mon. 12/12 – Sat. 12/17
Module 16
Cumulative Final Exam is due on Tuesday
XVI. Technical Support
Blackboard Support
If you experience any technical problems during your usage of this online course, please do not
You are free to leave a message or send an email at other times.
For all Madonna University Blackboard support information and Computer/Browser recommendations
SIGMA ZETA
A National Science and Mathematics Honor Society
Madonna University – Science and Mathematics is pleased to offer membership in our local chapter of Sigma
Zeta to our outstanding science and math majors.
Applications for membership are accepted during January. Please contact the Science & Math office for
information regarding requirements and deadlines.
An installation dinner for new members is in February.