Course Syllabus 

South Texas College

Department of Mathematics

Division of Math, Science and Bachelor Programs

MATH 1442- S18-S19-S21 Statistics

Syllabus

[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

Email: wchan@sharylandisd.org

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

Department Web Page: https://ms.southtexascollege.edu/math/index.html 

 

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:       mjmorin@southtexascollege.edu

 

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.

 

Pre-requisite:

 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

Statistics

Section

Title

Recommended Assignment

Chapter 1: Introduction to Statistics

1.1

An Overview of Statistics

1-14, Evens 16-40

1.2

Data Classification

1-14, Evens 16-30

1.3

Data Collection and Experimental Design

1-10, Evens 12-32

Chapter 2: Descriptive Statistics

 

 

2.1

Frequency Distribution and Their Graphs

1-17, Evens 18-42

2.2

More Graphs and Displays

1-10, Evens 12-30

2.3

Measures of Central Tendency

1-24, Evens 26-44

2.4

Measures of Variation

1-9, Evens 10-32

2.5

Measures of Position

Evens 2-44

TEST 1

Chapter 3: Probability

 

3.1

Basic Concepts of Probability and Counting

1-10, Evens 12-38

3.2

Conditional Probability and the Multiplication Rule

1-14, Evens 16-30

3.3

The Addition Rule

evens 2-24

3.4

Additional Topics in Probability and Counting

1-10, Evens 12-42

Chapter 4: Discrete Probability Distributions

4.1

Probability Distributions

1-10, Evens 12-32

4.2

Binomial Distributions

1-6, Evens 8-22

4.3

More Discrete Probability Distributions

all 1 - 25

TEST 2

Chapter 5: Normal Probability Distributions

 

5.1

Introduction to Normal Distributions

1-10, Evens 12-50

5.2

Normal Distributions: Finding Probabilities

Evens 2-20

5.3

Normal Distributions: Finding Values

Evens 2-38

5.4

Sampling and The Central Limit Theorem

1-10, Evens 12-32

5.5

Normal Approximations to Binomial Distributions

1-11, Evens 12-30

Midterm Exam

Chapter 6: Confidence Intervals

 

6.1

Confidence Intervals for the Mean (σ Known)

1-16, Evens 20-50

6.2

Confidence Intervals for the Mean (σ Unknown)

1-11, Evens 12-30

6.3

Confidence Intervals for Population Proportions

1-8, Evens 10-24

6.4

Confidence Intervals for Variance and Standard Deviation

Even # 2-26

Chapter 7: Hypothesis Testing with One Sample

 

7.1

Introduction of Hypothesis Testing

Evens 2-50

7.2

Hypothesis Testing for the Mean (σ Known)

Evens 2-40

7.3

Hypothesis Testing for the Mean (σ Unknown)

1-10, Evens 12-26

7.4

Hypothesis Testing for Proportions

Evens 2-16

7.5

Hypothesis Testing for Variance and Standard Deviation

1-10, Evens 12-22

Chapter 8: Hypothesis Testing with Two Samples

8.1

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

1-8, Evens 10-24

8.2

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

Evens 2-20

8.3

Testing the Difference Between two Means (Dependent Samples)

1-10, Evens 12-18

8.4

Testing the Difference Between Proportions

Evens 2-16

Test 3

Chapter 9: Correlation and Regression

 

9.1

Correlation

1-10, Evens 12-32

9.2

Linear Regression

1-13, Evens 14-30

9.3

Measures of Regression and Prediction Intervals

1-10, Evens 12-32

9.4

Multiple Regression

1-4 and evens 6-24

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

 

10.1

Goodness-of-Fit Test

Evens 2-14

10.2

Independence

Evens 2-20

10.3

Comparing Two Variances

Evens 2-24

10.4

Analysis of Variance

Evens 2-12

Test 4

Final Exam -- Comprehensive

 

 

Evaluation:

 

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

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