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.