Course Syllabus 

South Texas College

Department of Mathematics

Division of Math, Science and Bachelor Programs

MATH 1442- S18-S19-S21 Statistics


[Fall Semester 2019]


Instructor Information:

Instructor Name:     Wai Man Chan

Office Location: Sharyland High School 400 building room 411

Telephone #:  956-580-5300, ext. 1151


Office Hours: 9:45 – 11:10 am Monday and Thursday or by an appointment

Department Web Page: 


Department Chair Information:

Name of Chair:                           Mario J. Morin

Office Location:                        Pecan campus Bldg. J Room 2.804-B

Telephone #:            (956) 872-7258

Fax #:                                                            (956) 872-6774 Math Department

E-mail Address:


Course Information:

Course Name:           Elementary Statistical Methods

Course # and Section Numbers: MATH 1442-S01

Classroom Location: Sharyland High School 400 building room 411

Days and Time class meets: M-F 1:33pm - 2.:18pm


Course Description:

This course is a presentation and interpretation of data, probability, sampling, correlation and regression, analysis of variance, and use of statistical software.



 Meet TSI college readiness standard for Mathematics; or completion of MATH 0090 or MATH 0200 or MATL 0020 with a grade of “P” or “C” or better, or equivalent.


Program Learning Outcomes:

1. Demonstrate in-depth knowledge of Mathematics, its scope, application, history, problems, methods, and usefulness to mankind both as a science and as an intellectual discipline.

2. Demonstrate a sound conceptual understanding of Mathematics through the construction of mathematically rigorous and logically correct proofs.

3. Identify, formulate, and analyze real world problems with statistical or mathematical techniques.

4. Utilize technology as an effective tool in investigating, understanding, and applying mathematics.

5. Communicate mathematics effectively to mathematical and non-mathematical audiences in oral, written, and multi-media form.


Course Learning Outcomes

Upon successful completion of this course, students will:

  1. Explain the use of data collection and statistical tools to reach reasonable conclusions.
  2. Recognize, examine and interpret the basic principles of describing and presenting data.
  3. Compute and interpret empirical and theoretical probabilities using the rules of probabilities and combinatorics.
  4. Explain the role of probability in statistics.
  5. Examine, analyze and compare various sampling distributions for both discrete and continuous random variables.
  6. Describe and compute confidence intervals.
  7. Solve linear regression and correlation problems.
  8. Perform hypothesis testing using statistical methods


Required Core Objectives:  

  1. CRITICAL THINKING SKILLS:  to include creative thinking, innovation, inquiry, and analysis, evaluation and synthesis of information.
  2. COMMUNICATION SKILLS:  to include effective development, interpretation and expression of ideas through written, oral and visual communication.
  3. EMPIRICAL AND QUANTITATIVE SKILLS:  to include the manipulation and analysis of numerical data or observable facts resulting in informed conclusions.
  4. TEAMWORK:  to include the ability to consider different points of view and to work effectively with others to support a shared purpose or goal.
  5. SOCIAL RESPONSIBILITY:  to include intercultural competence, knowledge of civic responsibility, and the ability to engage effectively in regional, national, and global communities.
  6. PERSONAL RESPONSIBILITY:  to include the ability to connect choices, actions, and consequences to ethical decision-making.



Required Textbook & Resources:


Elementary Statistics: Picturing the World, 7th Edition Larson, Ron | Farber, Betsy

Textbook ISBN-13: 9780134683416



Departmental Course Requirements:    Required Sections and Recommended Exercises:



Math 1442




Recommended Assignment

Chapter 1: Introduction to Statistics


An Overview of Statistics

1-14, Evens 16-40


Data Classification

1-14, Evens 16-30


Data Collection and Experimental Design

1-10, Evens 12-32

Chapter 2: Descriptive Statistics




Frequency Distribution and Their Graphs

1-17, Evens 18-42


More Graphs and Displays

1-10, Evens 12-30


Measures of Central Tendency

1-24, Evens 26-44


Measures of Variation

1-9, Evens 10-32


Measures of Position

Evens 2-44


Chapter 3: Probability



Basic Concepts of Probability and Counting

1-10, Evens 12-38


Conditional Probability and the Multiplication Rule

1-14, Evens 16-30


The Addition Rule

evens 2-24


Additional Topics in Probability and Counting

1-10, Evens 12-42

Chapter 4: Discrete Probability Distributions


Probability Distributions

1-10, Evens 12-32


Binomial Distributions

1-6, Evens 8-22


More Discrete Probability Distributions

all 1 - 25


Chapter 5: Normal Probability Distributions



Introduction to Normal Distributions

1-10, Evens 12-50


Normal Distributions: Finding Probabilities

Evens 2-20


Normal Distributions: Finding Values

Evens 2-38


Sampling and The Central Limit Theorem

1-10, Evens 12-32


Normal Approximations to Binomial Distributions

1-11, Evens 12-30

Midterm Exam

Chapter 6: Confidence Intervals



Confidence Intervals for the Mean (σ Known)

1-16, Evens 20-50


Confidence Intervals for the Mean (σ Unknown)

1-11, Evens 12-30


Confidence Intervals for Population Proportions

1-8, Evens 10-24


Confidence Intervals for Variance and Standard Deviation

Even # 2-26

Chapter 7: Hypothesis Testing with One Sample



Introduction of Hypothesis Testing

Evens 2-50


Hypothesis Testing for the Mean (σ Known)

Evens 2-40


Hypothesis Testing for the Mean (σ Unknown)

1-10, Evens 12-26


Hypothesis Testing for Proportions

Evens 2-16


Hypothesis Testing for Variance and Standard Deviation

1-10, Evens 12-22

Chapter 8: Hypothesis Testing with Two Samples


Testing the Difference Between Means (Independent Samples, σ1 and σ2 Known)

1-8, Evens 10-24


Testing the Difference Between Means (Independent Samples, σ1 and σ2 Unknown)

Evens 2-20


Testing the Difference Between two Means (Dependent Samples)

1-10, Evens 12-18


Testing the Difference Between Proportions

Evens 2-16

Test 3

Chapter 9: Correlation and Regression




1-10, Evens 12-32


Linear Regression

1-13, Evens 14-30


Measures of Regression and Prediction Intervals

1-10, Evens 12-32


Multiple Regression

1-4 and evens 6-24

Chapter 10: Chi-Square Tests and the F-Distribution



Goodness-of-Fit Test

Evens 2-14



Evens 2-20


Comparing Two Variances

Evens 2-24


Analysis of Variance

Evens 2-12

Test 4

Final Exam -- Comprehensive





Grading Criteria



Midterm Exam (Mandatory) -------------------- 20%

Comprehensive Final Exam (Mandatory) ---- 25%

Tests (1,2,3,4, and Quizzes) --------------------- 40%

Assignments/Homework/Presentations -------- 15%



A = > 90%

B = 80%-89%

C = 70%-79%

D = 60%-69%

F = < 60%



  • Use of cell phones, cell phone calculators, iPod, or electronics is not allowed during exams.
  • Check with the instructor for the kind of Calculator allowed.


  • All exams are closed-book proctored exams -- No Make-ups!
  • Exam results will be given within one week from the exam day. Online test scores shows immediately after submission.




Developmental Studies Policy Statement: The College’s Developmental Education Plan requires TSI Liable students who have not met the college readiness or exemption standards in reading, writing, and/or mathematics to enroll in Developmental Studies courses including College Success.  Failure to attend these required classes may result in the student's withdrawal from ALL college courses.


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Student Attendance Guidelines “Student Attendance Board Policy 3335” Class attendance and participation are essential to student success. Regular and punctual class attendance is expected at South Texas College. Student absences will be recorded from the first day the class meets. It is imperative that students attend on the first day of class. This is when the course syllabus, schedule, deadlines, and class expectations will be discussed. In case of absence, it is the student's responsibility to contact the instructor prior to the absence. The student is expressly responsible for any work missed regardless of the cause of the absence. The student must discuss such work with the instructor and should do so immediately on returning to school. Communication between the student and faculty member is most important, and it is the student's responsibility to initiate such communication. The faculty member will determine, based on policies outlined in the course syllabus, whether the student will be permitted to make up work and will decide on the time and nature of the makeup. If a student does not appear at the prearranged time or meet the prescribed deadline for makeup work, they forfeit their rights for further makeup of that work. A student who stops attending class for any reason should contact the faculty member and the Admission’s office to officially withdraw from the class. Failure to officially withdraw may result in a failing grade for the course.



Posted by wchan On 19 August, 2019 at 7:57 PM  

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