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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 Prerequisites

  • 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 HW Assignments

25%

Exams (Weeks 5, 9 12 & 15)

60%

Total

100%

Required Textbooks

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: Introduction to Statistics

  • Readings:
    • Chapter 1, Sections 1.1, 1.2, 1.4
  • Read Assigned Chapter
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 1

2

1,2,3,5

Topics: Organizing Data and Visualizing Data

  • Readings:
    • Chapter 1, Section 1.3
    • Chapter 2, Sections 2.1 – 2.2
  • Read Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 2

3

1,2,3

Topic: Descriptive Statistics

  • Readings:
    • Chapter 1, Section 1.3
    • Chapter 2, Sections 2.3 - 2.7
  • Read Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 3

4

1,2,3

Topic: Correlation and Regression

  • Readings:
    • Chapter 12, Sections 12.1, 12.2, 12.3, 12.5

 

  • Read Assigned Chapter
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 4

5

1,2,3,4

Topic: Topics in Probability

  • Readings:
    • Chapter 1, Section 1.3
    • Chapter 2, Sections 2.3 - 2.7
  • 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

 

6

1,2,3,4

Topics: Discrete & Continuous Random Variables

  • Readings:
    • Chapter 4, Sections 4.1, 4.2, 4.3
    • Chapter 5, Sections 5.1, 5.2
  • Read Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 6

7

1,2,4

Topic: Normal Distributions

  • Readings:
    • Chapter 6, Sections 6.1, 6.2
  • Read Assigned Chapter
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 7

8

1,2,4

Topic: Central Limit Theorem

  • Readings:
    • Chapter 7, Sections 7.1, 7.3
  • Read Assigned Chapter
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 8

9

1,2,3,4,5

Topic: Confidence Intervals

  • Readings:
    • Chapter 8, Section 8.1

 

  • Prepare for Exam 2
  • Review Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 9
  • Complete Exam 2
  

Exam 2

Chapters 3, 4, 5, 6, 7

(Probability, Discrete & Continuous Random Variables)

SLOs 1 – 5

 

10

1,2,3,4,5

Topic: Confidence Intervals for a Population Mean: T - Distribution

  • Readings:
    • Chapter 8, Section 8.2

 

  • Read Assigned Chapter
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 10

11

1,2,3,4,5

Topic: Confidence Intervals for a Population Proportion

  • Readings:
    • Chapter 8, Section 8.3
  • Read Assigned Chapter
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 11

12

1,2,3,4,5

Topic: Hypothesis Testing

  • Readings:
    • Chapter 9, Sections 9.1, 9.2, 9.3, 9.4, 9.5, 9.6
  • Prepare for Exam 3
  • Review Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 12
  • Complete Exam 3
  

Exam 3

Chapters 6, 7, & 8

(Normal Distribution, Confidence Intervals)

SLOs 1 - 5

 

13

1,2,3,4,5

Topic: Hypothesis Tests for a Population Mean: T-Distribution

  • Readings:
    • Chapter 9, Sections 9.1, 9.2, 9.3, 9.4, 9.5, 9.6
  • Read Assigned Chapter
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 13

14

1,2,3,4,5

Topic: Hypothesis Tests for a Population Proportion

  • Readings:
    • Chapter 9, Sections 9.1, 9.2, 9.3, 9.4, 9.5, 9.6
  • Read Assigned Chapter
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 14

15

1,2,3,4,5

Topic: Hypothesis Testing with Two Samples

  • Readings:
    • Chapter 10, Sections 10.1, 10.2, 10.3, 10.4
  • Prepare for Exam 4
  • Review Assigned Chapters
  • Review Lecture Material
  • Participate in Discussions
  • Complete My Open Math HW 15
  • Complete Exam 4
  

Exam 4

Chapters 6, 7, 8, & 9

(Normal Distributions, Confidence Intervals, Hypothesis Testing)

SLOs 1 – 5
 

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.