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MAT 105: Statistics

Course Description

This course will focus on the fundamentals of modern statistics. Topics include: basic concepts of descriptive statistics, inferences about the mean, proportion, and variance of one population, the binomial distribution, confidence intervals, and hypothesis testing. Other topics in this course include an introduction to probability and bivariate data, including linear correlation and regression. This course is an Open Educational Resource Course. (3 credits)

Recommended Prerequisite

  • MAT 100: Elementary Algebra or High school Algebra (2 years)

Student Learning Outcomes (SLOs)

Students who successfully complete this course will be able to:

  1. Demonstrate an understanding of the standard techniques of statistics
  2. Demonstrate an understanding of the meaning and implications of these basic techniques
  3. Demonstrate an understanding of the applications of statistics in various specialized fields, e.g., business, social sciences, biology
  4. Demonstrate critical judgment and decision-making ability using quantitative tools
  5. Demonstrate an appreciation of the power and scope of statistical method and thinking

General Education Outcomes (GEOs)

Please check the applicable GEOs for this course, if any, by outcomes at GEO Category Search, or by subject area at GEO Discipline Search.

Course Activities and Grading

Assignments

Weight

Discussions

15%

My Open Math Assignments

25%

Exams (Weeks 3, 6, 7 & 8)

60%

Total

100%

Required Textbook

  • The textbook for this course is an OER textbook that is available at no cost to students. Students should access the textbook, Introductory Statistics (2016)., Openstax, Rice University here at this link. The link will also be available in the course.

Course Schedule

Week

SLOs

Readings and Exercises

Assignments

1

1,2,3,5

Topic: Sampling and Data

  • Readings:
    • Chapter 1, Sections 1.1 - 1.6
    • Chapter 2, Sections 2.1 - 2.2
    • Lectures 1
  • Assignments:
    • My Open Math HW 1
  • Read Assigned Chapters
  • Read Lecture Material
  • Participate in Discussions
  • Submit My Open Math HW

2

1-3

Topic: Descriptive Statistics & Linear Regression and Correlation

  • Readings:
    • Chapter 2, Sections 2.3 -2.7
    • Chapter 12, Sections 12.1 - 12.3 & 12.5
    • Lecture 2
  • Assignments:
    • My Open Math HW 2
  • Read Assigned Chapters
  • Read Lecture Material
  • Participate in Discussions
  • Submit My Open Math HW

3

1-4

Topic: Probability Topics

  • Readings:
    • Chapter 3, Sections 3.1 - 3.5
    • Lecture 3
  • Assignment:
    • Start My Open Math HW 3
  • Prepare for Exam 1
  • Review Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Complete Exam 1

Exam 1
Chapters 1, 2 & 12
SLOs 1-5

4

1-4

Topic: Discrete Random Variables and Continuous Random Variables

  • Readings:
    • Chapter 4, Sections 4.1 - 4.3
    • Chapter 5, Sections 5.1 - 5.2
    • Lecture 4
  • Assignments:
    • My Open Math HW 4
  • Read Assigned Chapters
  • Read Lecture Material
  • Participate in Discussions
  • Submit My Open Math HW

5

1,2,4

Topics: The Normal Distribution and Central Limit Theorem

  • Readings:
    • Chapter 6, Sections 6.1 - 6.2
    • Chapter 7, Sections 7.1 - 7.3
    • Lecture 5
  • Assignments:
    • My Open Math HW 5
  • Read Assigned Chapters
  • Read Lecture Material
  • Participate in Discussions
  • Submit My Open Math HW

6

1-5

Topic: Confidence Intervals

  • Readings:
    • Chapter 8, Sections 8.1 - 8.3
    • Lecture 6
  • Assignment:
    • My Open Math HW 6
  • Prepare for Exam 2
  • Review Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Submit My Open Math HW
  • Complete Exam 2

Exam 2
Chapters 3-7
SLOs 1-5

7

1-5

Topic: Hypothesis Testing with One Sample

  • Readings:
    • Chapter 9, Sections 9.1 - 9.6
    • Lecture 7
  • Assignments:
    • My Open Math HW 7
  • Prepare for Exam 3
  • Review Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Submit My Open Math HW
  • Complete Exam 3

Exam 3
Chapters 6, 7 & 8
SLOs 1-5

8

1-5

Topic: Hypothesis Testing with Two Samples

  • Readings:
    • Chapter 10, Sections 10.1 - 10.4
    • Lecture 8
  • Assignments:
    • My Open Math HW 8
  • Prepare for Exam 4
  • Review Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Submit My Open Math HW
  • Complete Exam 4

Exam 4
Chapters 6-9
SLOs 1-5

*Open Educational Resources (OER) are openly licensed, educational resources that can be used for teaching, learning and research. OER may consist of a variety of resources such as textbooks, videos and software that are at little or no cost for students.

COSC Accessibility Statement

Charter Oak State College encourages students with disabilities, including non-visible disabilities such as chronic diseases, learning disabilities, head injury, attention deficit/hyperactive disorder, or psychiatric disabilities, to discuss appropriate accommodations with the Office of Accessibility Services at OAS@charteroak.edu.

COSC Policies, Course Policies, Academic Support Services and Resources

Students are responsible for knowing all Charter Oak State College (COSC) institutional policies, course-specific policies, procedures, and available academic support services and resources. Please see COSC Policies for COSC institutional policies, and see also specific policies related to this course. See COSC Resources for information regarding available academic support services and resources.