Math 341: Statistical Methods I
Spring 2018 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: Covers applications of classical statistical inference. Topics include transformation of variables, moment generating technique for distribution of variables, introduction to sampling distributions, point and interval estimation, maximum likelihood estimators, basic statistical hypotheses and tests of parametric hypotheses about means of normal populations, chisquare tests of homogeneity, independence, goodnessoffit. Effective From: Spring 2009.
Number of Credits: 3
Prerequisites: Math 244 with a grade of C or better or Math 333 with a grade of C or better.
CourseSection and Instructors
CourseSection 
Instructor 
Math 341002 
Professor S. Dhar 
Office Hours for All Math Instructors: Spring 2018 Office Hours and Emails
Required Textbook:
Title 
Mathematical Statistics with Applications 
Author 
Wackerly, Mendenhall, and Scheaffer 
Edition 
7th 
Publisher 
Thomson Brooks/Cole 
ISBN # 
9780495110811 
Universitywide Withdrawal Date: The last day to withdraw with a W is Monday, April 2, 2018. It will be strictly enforced.
Course Goals
Course Outcomes
 Read mathematical statistics methods.
 Do mathematical statistics problem solving.
 Gain ideas to do statistical computations.
 Perform estimation techniques to capture information from data and into their analysis.
 Use MOM, MLE, MVUE to do parameter estimation and inference.
 Use Chisquared test to evaluate the homogeneity of populations.
 Use Chisquared test to evaluate the independence of categorical variables.
 Use Chisquared test to evaluate the goodnessoffit of data to a specified distribution.
Advice on how to read/approach the materials: Always read the material covered in class again on your own immediately before the next class. Reading means understanding each sentence in the class notes and textbook and then solving problems on them effectively on your own. Next, be able to solve most of the remaining related problems on your own.
Policies
DMS Course Policies: All DMS students must familiarize themselves with, and adhere to, the Department of Mathematical Sciences Course Policies, in addition to official universitywide policies. DMS takes these policies very seriously and enforces them strictly.
Grading Policy: The final grade in this course will be determined as follows:
Homework and Quizzes 
20% 
Class Participation (see rubric, below) 
10% 
Midterm Exam 
35% 
Final Exam 
35% 
Your final letter grade will be based on the following tentative curve. NOTE: Your final letter grade will be based on a curve that ensures at least few A’s. Practice problems, HW and Quiz assignments are posted on Math 341 Course Moodle page. Note that Homework assignments may be modifications of questions in the textbook. Homework is generally due within a week unless announced otherwise by the instructor. Solutions to the assignments will be handed out in class and discussed (see the Math 341 Course Moodle page). Late homework cannot be accepted, since the solutions are already handed out.
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. AttendanceNote
Homework Policy: No late homework will be accepted.
Calculator Policy: Calculators are allowed but should be basic, without graphing capabilities, algebraic simplification capabilities, formulastoring capabilities and without other such capabilities.
Exams: There will be one midterm exam held in class during the semester and one comprehensive final exam. Exams are held on the following days:
Midterm Exam 
March 27, 2018 
Final Exam Period 
May 4  10, 2018 
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 makeup 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.
Laptops: Computers and other communication devices should remain closed during lecture time, exams and quizzes.
Grading: Any complaints regarding grading have to be presented immediately after receiving the graded test, quiz, HW or exam inclass.
Looking into neighbors work during exams: Keeping eyes hidden using hats, caps, etc., from the proctor, but not from the neighbors work during exams is not allowed.
Wandering: Going in and out of the classroom often is not allowed. (Let instructor know ahead of time that if one is coming late or leaving a classroom in session early due to extenuating circumstances).
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 2018 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 universitywide 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 9735965417 or via email at lyles@njit.edu. 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 2018 Academic Calendar, Registrar)
Date 
Day 
Event 
January 16, 2018 
T 
First Day of Classes 
January 22, 2018 
M 
Last Day to Add/Drop Classes 
March 11  18, 2018 
Su  Su 
Spring Recess  No Classes/ University Closed 
March 30, 2018 
F 
Good Friday  No Classes/ University Closed 
April 2, 2018 
M 
Last Day to Withdraw 
May 1, 2018 
T 
Friday Classes Meet  Last Day of Classes 
May 2  3, 2018 
W  R 
Reading Days 
May 4  10, 2018 
F  R 
Final Exam Period 
Course Outline
Lecture (Date) 
Sections 
Topic 
1 (116) 
5.2 
Bivariate and Multivariate Probability Distributions 
2 (118) 
5.3 
Marginal and Conditional Probability Distributions 
3 (123) 
5.5, 5.7 
Expected Values and Covariance 
4 (125) 
6.2, 6.3 
Method of Distribution Functions 
5 (130) 
6.4 
Method of Transformations 
6 (201) 
4.9, 6.5 
Moments and Moment Generating Functions; Method of Moments (MOM) 
7 (206) 
6.7 
Order Statistics 
8 (208) 
7.1 
Intro to Sampling Distributions 
9 (213) 
7.2 
Sampling Distributions related to the Normal Distribution 
10 (215) 
7.3 
Central Limit Theorem 
11 (220) 
8.2, 8.3 
Bias and Mean Square Error of Point Estimators 
12 (222) 
9.5 
Minimum Variance Unbiased Estimators (MVUE) 
13 (227) 
9.7 
Maximum Likelihood Estimation (MLE) 
14 (301) 
8.6, 8.7 
Confidence Intervals 
15 (306) 
8.8, 8.9 
Confidence Intervals 
16 (308) 
10.2, 10.3 
Hypothesis Testing Basics 
March 1118, 2018, SuSu / Spring Recess ~ No Classes ~ University Open 
17 (320) 
10.4 
Type II error 
18 (322) 
10.6 
pvalues 
Lecture 19 (March 27, 2018) Midterm Exam 
20 (329) 
10.8 
Small Sample Hypothesis Testing 
21 (403) 
10.1 
Power of Tests; NeymanPearson Lemma 
22 (405) 
10.1 
Most Powerful Test 
23 (410) 
13.2 
ANOVA 
24 (412) 
13.3, 13.4 
ANOVA Models 
25 (417) 
14.1, 14.2 
Categorical Data; ChiSquared Test 
26 (419) 
14.3 
Goodness of Fit Test 
27 (424) 
14.4 
Contingency Tables 
28 (426) 

REVIEW 
Practice problems, HW and Quiz assignments are posted on Math 341 Course Moodle page. Note that Homework assignments may be modifications of questions in the textbook.
Grade Criteria for Class Participation (out of a maximum of 4)
Once the student names are uniquely identified, from there onwards each student will receive a score of 0 to 4 at the end of the each class according to the following criteria:
0: Student is absent (please give proof of extenuating circumstance). Student has sustained attention on laptop/electronic devices. Not participating in the class at all. She/he is disruptive and says little or nothing in class. Contributions in class reflect inadequate preparation. Ideas offered are seldom substantive, provides few if any insights, and never a constructive direction for the class. Integrative comments are absent. If this person were not a member of the class, valuable classtime would be saved.
1: Student is present and not disruptive. Tries to respond when called on but does not offer much. Student demonstrates very infrequent involvement in class discussion. This person says little or nothing in class. Hence, there is not an adequate basis for evaluation. If this person were not a member of the class, the quality of discussion would not be changed.
2: Student demonstrates adequate preparation: knows basic facts, but does not show evidence of trying to interpret or analyze them. She/he offers straightforward information (e.g., straight from the textbook), without elaboration or very infrequently (perhaps once a class). Does not offer to contribute to discussion, but contributes to a moderate degree when called on. Student demonstrates sporadic involvement. Contributions in class reflect satisfactory preparation. Ideas offered are sometimes substantive, provides generally useful insights but seldom offer a new direction for the discussion. If this person were not a member of the class, the quality of discussion would be diminished somewhat.
3: Student demonstrates good preparation: knows covered course material well, has thought through implications of them. She/he offers interpretations and analysis of course material (more than just facts) to class. Student contributes well to discussion in an ongoing way: responds to other students' points, thinks through their own points, questions others in a constructive way, offers and supports suggestions that may be counter to the majority opinion. Student demonstrates consistent ongoing involvement. Contributions in class reflect thorough preparation. Ideas offered by the student are usually substantive; provide good insights, and sometimes direction for the class. If this person were not a member of the class, the quality of discussion would be diminished.
4: Student demonstrates excellent preparation: has analyzed covered course material exceptionally well, relating it to readings and other material (e.g., readings, course material, etc.). She/he offers analysis, synthesis, and evaluation of covered course material, e.g., puts together pieces of the discussion to develop new approaches that take the class further. Student contributes in a very significant way to ongoing discussion: keeps analysis focused, responds very thoughtfully to other students' comments, contributes to the cooperative argumentbuilding, suggests alternative ways of approaching material and helps class analyze which approaches are appropriate, etc. She/he demonstrates ongoing very active involvement. Contributions in class reflect exceptional preparation. Ideas offered are always substantive, and provide one or more major insights as well as direction for the class. If this person were not a member of the class, the quality of discussion would be diminished markedly.
The average score out of the maximum of 4 is used to calculate the class participation score.
Updated by Professor S. Dhar  1/17/2018
Department of Mathematical Sciences Course Syllabus, Spring 2018