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Math 279: Statistics and Probability for Engineers
Spring 2019 Course Syllabus

NJIT Academic Integrity Code: All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.

Course Information

Course Description: This course introduces methods of summarizing and analyzing engineering data and the importance of observing processes over time such as control charts. Descriptive statistics, plots and diagrams are then used to summarize the data. Elements of probability and random variables with their distributions along with mean and variance are taught. All this knowledge is then used as a platform towards covering how to do basic estimation and inference, including confidence intervals and hypothesis testing based on a single sample. Students taking this course cannot receive degree credit for MATH 225,MATH 244, or MATH 333.

Number of Credits: 2

Prerequisites: MATH 112 with a grade of C or better or MATH 133 with a grade of C or better.

Course-Section and Instructors

Course-Section Instructor
Math 279-002 Professor D. Schmidt
Math 279-004 Professor D. Schmidt

Office Hours for All Math Instructors: Spring 2019 Office Hours and Emails

Required Textbook:

Title Engineering Statistics
Author Montgomery, et al.
Edition 5th
Publisher John Wiley & Sons, Inc.
ISBN # 978-0470631478
Calculator Policy Only a basic (non-programmable and non-graphing)
calculator is permitted during the quizzes and exams.

University-wide Withdrawal Date: The last day to withdraw with a W is Monday, April 8, 2019. It will be strictly enforced.


DMS Course Policies: All DMS students must familiarize themselves with, and adhere to, the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly.

Grading Policy: The final grade in this course will be determined as follows:

Quizzes 20%
Homework 10%
Midterm Exam 30%
Final Exam 40%

Your final letter grade will be based on the following tentative curve.

A 90 - 100 C 65 - 74
B+ 85 - 89 D 55 - 64
B 80 - 84 F 0 - 54
C+ 75 - 79

Attendance Policy: Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Math Department’s Attendance Policy. This policy will be strictly enforced.

Homework Policy: Each week homework problems denoted (*) will be collected and a short quiz based on the homework will be given. There are no make-up quizzes, but the lowest quiz/HW grade for the semester will be dropped. If absent, homework will be accepted up until the following class for full credit.  Homework received during the following class, and up to one week later will be accepted for half credit.  No homework accepted beyond two weeks late.

Exams: There will be one midterm exam held in class during the semester and one comprehensive final exam. Exams will be held during the following weeks:

Midterm Exam Week 8
Final Exam Period May 10 - 16, 2019

The final exam will test your knowledge of all the course material taught in the entire course. Make sure you read and fully understand the Math Department's Examination Policy. This policy will be strictly enforced.

Makeup Exam Policy: There will be No make-up QUIZZES OR EXAMS during the semester. In the event an exam is not taken under rare circumstances where the student has a legitimate reason for missing the exam, the student should contact the Dean of Students office and present written verifiable proof of the reason for missing the exam, e.g., a doctor’s note, police report, court notice, etc. clearly stating the date AND time of the mitigating problem. The student must also notify the Math Department Office/Instructor that the exam will be missed.

Cellular Phones: All cellular phones and other electronic devices must be switched off during all class times.

Additional Resources

Math Tutoring Center: Located in the Central King Building, Lower Level, Rm. G11 (See: Spring 2019 Hours)

Further Assistance: For further questions, students should contact their instructor. All instructors have regular office hours during the week. These office hours are listed on the Math Department's webpage for Instructor Office Hours and Emails.

All students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. The Department of Mathematical Sciences takes these policies very seriously and enforces them strictly.

Accommodation of Disabilities: Disability Support Services (DSS) offers long term and temporary accommodations for undergraduate, graduate and visiting students at NJIT.

If you are in need of accommodations due to a disability please contact Chantonette Lyles, Associate Director of Disability Support Services at 973-596-5417 or via email at The office is located in Fenster Hall Room 260. A Letter of Accommodation Eligibility from the Disability Support Services office authorizing your accommodations will be required.

For further information regarding self identification, the submission of medical documentation and additional support services provided please visit the Disability Support Services (DSS) website at:

Important Dates (See: Spring 2019 Academic Calendar, Registrar)

Date Day Event
January 22, 2019 T First Day of Classes
February 1, 2019 F Last Day to Add/Drop Classes
March 17 - 24, 2019 Su - Su Spring Recess - No Classes, NJIT Open
April 8, 2019 M Last Day to Withdraw
April 19, 2019 F Good Friday - No Classes, NJIT Closed
May 7, 2019 T Friday Classes Meet/ Last Day of Classes
May 8 & 9, 2019 W & R Reading Days
May 10 - 16, 2019 F - R Final Exam Period

Course Outline

Week Section Topic Homework Problems
1 2.1–2.2, 2.4 Data summary, Stem-and- Leaf Diagram, Box Plots Page 28 #2.1, 2.3, 2.4* (no dot plots), Page 33 #2.14*, 2.20*, 2.25*, construct a box plot for the data in 2.21*
2 3.1, 3.2, 3.3 Random Variables, and Probability  Page 61 #3.1-3.7, Page 65 #3.11*, 3,13, 3,16*, 3.17
3 3.7 Discrete Random Variables Page 101 #3.91(No graph), 3.93 (No graph), 3.100*
4 3.8 Binomial Distribution Page 108 #3.103, 3.106*, 3.113
5 3.4 Continuous Random Variables Page 72 #3.23, 3.24*
6 3.9.1 Poisson Distribution  Page 117 #3.121, 3.123*, 3.130
7 3.9.2 Exponential Distribution & REVIEW Page 118 #3.136*, 3.137
9 3.5.1 Normal Distribution Page 90 # 3.41, 3.43, 3.45, 3.47, 3.50*
3.13 Random Samples, Statistics, and The Central Limit Theorem Page 140 #3.195, 3.197, 3.199, 3.200*, 3.203, 3.204*
10 4.4.5, 4.5.3 Confidence Intervals, Choice of Sample Size Page 186 #4.40 (Part d), 4.41* (Part d), 4.63 (Part d) and find a 95% Lower Confidence bound
11 4.3 Type I and Type II Error Page 168 #4.15, 4.17*, 4.19
12 4.3, 4.4 Intro to Hypothesis Testing on the Mean Page 185 #4.37(Parts a (use rejection region), b, d), 4.38* (Part a (use rejection regions AND P-value), and part e), 4.40a (use rejection regions AND P-value)
4.5 Inference on the Mean, Variance Unknown Page 197 # 4.54* (Part a), 4.55 (Part a), 4.57 (Part a)
13 4.7 Tests on a Population Proportion Page 214 # 4.75*(Parts a, c, d, f)

Updated by Professor D. Schmidt - 1/21/2019
Department of Mathematical Sciences Course Syllabus, Spring 2019