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

Course Activities and Grading

AssignmentsWeight

Discussions

15%

My Open Math HW Assignments

25%

Exams (Weeks 5, 9 12 & 15)

60%

Total

100%

Required Textbooks

Available through Charter Oak State College's Book Bundle

  • In this course you will use Lumen One Introductory Statistics instead of a traditional textbook.
  • You can access all Lumen One readings, videos, a study plan, quizzes and other activities through Blackboard. A note about Lumen One Quizzes: they help you learn! After your first quiz attempt you’ll receive feedback and opportunity to learn and practice the content before your 2nd or final quiz attempt.
  • Additional information about Lumen One:
    • Lumen One is different from other course materials in these ways:
      • There is no separate textbook. Everything you need is in the Introductory Statistics course, including an e-Book.
      • Each Lumen One Study Plan will provide guidance on where to focus your attention. As you complete each module’s Readiness Check, Self Check and quizzes, you’ll get feedback on which areas you need to read and study more.
      • You can earn participation points for completing each Study Plan. To earn them, you’ll need to complete the Readiness Check and every topic’s Self Check. These assignments are graded for completeness, not for correctness. 
      • You can take graded quizzes more than once. Quizzes help you learn. You can take your quiz twice; only the higher score will be recorded.
      • Instructors can see where students are struggling. They can see how you do on your quizzes and offer individualized help when you need it. They can also see if you are doing the Readiness Check and Self Checks. 

Additional Support

  • Inside your Lumen One course in Blackboard,you’ll find a link to the Lumen Community. There, you can interact with students across the country taking the Introductory Statistics course. You can get and give help, browse other students’ questions or find additional learning and support resources provided by Lumen. The Lumen Community is also the place to find technical support or ask for help navigating the materials. We’re all in this together! 

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
 

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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.