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, differences in means and differences in proportions; 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. (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. Perform a complete statistical investigation involving the exploration, summarization, and analysis of data to generate answers to real-world questions.
  2. Identify key features (variables, subjects, cases, observational units, parameters, and statistics) of a statistical study.
  3. Design statistical questions that can be answered given a specific set of data.
  4. Describe sampling methods and explain the presence of bias in a sampling method.
  5. Describe key components of an experiment and an observational study (treatment groups, explanatory variables, response variables, nuisance factors, random assignment, replication, and possible confounding variables).
  6. Construct graphical displays of data, describe important characteristics of the data from graphical displays, and interpret displays to answer research questions.
  7. Describe features of a univariate data distribution by summarizing the shape, center, spread, and presence of outliers.
  8. Compare shape, center and spread of distributions across groups.
  9. Compute and interpret measures of center (mean, median, mode) and measures of variability (range, IQR, standard deviation) to describe data distributions, identify the presence of outliers, and answer real-world questions.
  10. Compute and interpret Z-scores to analyze observed values and compare observations from different groups.
  11. Apply the Empirical Rule to describe features of data distributions.
  12. Describe features of a bivariate data distribution by summarizing the trend, shape, strength, and presence of outliers.
  13. Perform least-square regression analysis on bivariate data to make predictions, assess the model accuracy and fit, and make appropriate predictions/extrapolations.
  14. Interpret key features (slope, y-intercept) of a least-squares regression line in the context of a problem.
  15. Compute and interpret the correlation coefficient of bivariate data.
  16. Calculate and interpret different types of probability and apply concepts of theoretical probability and empirical probability to solve problems.
  17. Discuss and apply features of discrete and continuous probability distributions to examine features of data distributions and answer real-world questions.
  18. Use technology to construct probability distributions, create graphical displays, compute probabilities, and determine cutoff values to answer real-world questions.
  19. Construct and examine features of sampling distributions of sample statistics
  20. Discuss the role of sampling variability in statistical inference problems
  21. Apply statistical inference methods (confidence intervals, hypothesis tests) to estimate and test claims about population means, population proportions, differences in population means, and differences in population proportions.
  22. Describe the steps needed to perform statistical inference, including the assumptions that must be met, drawing conclusions, and stating conclusions in the context of real-world problems.

Course Activities and Grading

AssignmentsWeight

Study Plan Activities ((12@10 Pts) 120 Pts, Weeks 1-8)

15%

Discussions ((8@10 Pts) 80 Pts, Weeks 1-8)

10%

Module Quizzes ((13@20 Pts) 260 Pts, Weeks 1 – 8)

30%

Exam 1 (80 Pts, Week 3)

15%

Exam 2 (100 Pts, Week 6)

15%

Exam 3 (110 Pts, Week 8)

15%

Total

100%

Required Textbook

  • In this course you will use Lumen One Introductory Statistics instead of a traditional textbook. Lumen One provides your course materials digitally inside Blackboard.
  • 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

2,3,4,5

Topic: Data, Statistical Studies, and Sampling

  • Text: Lumen One, Modules 1 and 2
  • Complete Introduce Yourself - a brief survey to provide information to your instructor.
  • Read How to Use Lumen Course Materials
  • Complete the Module 1 Data Types and Organization Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 1 Data Types and Organization Quiz
  • Complete the Module 2 Statistical Studies and Sampling Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 2 Statistical Studies and Sampling Quiz
  • Participate in the Week 1 Discussion Board
  • Review the materials in the Notes from Your Instructor folder

2

6,7,8,9.10,11

Topic: Describing Data Graphically & Numerically

  • Text:  Lumen One, Modules 3 and 4
  • Complete the Module 3 Describing Data Graphically Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 3 Describing Data Graphically Quiz
  • Complete the Module 4 Describing Data Numerically Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 4 Describing Data Numerically Quiz
  • Participate in the Week 2 Discussion Board by opening the Discussion folder on this page. The Q & A forum will be available each week.
  • Review the materials in the Notes from Your Instructor folder.

3

12,15

Topic: EXAM 1 & Displaying & Describing Bivariate Data

  • Text: Lumen One, Review Modules 1-4, Module 5
  • Review the quizzes for Modules 1 - 4.
  • Take Practice Exam 1
  • Take Exam 1
  • Complete the Module 5 Displaying and Describing Bivariate Data Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 5 Displaying and Describing Bivariate Data Quiz
  • Participate in the Week 3 Discussion Board by opening the Discussion folder on this page. The Q & A forum will be available each week.
  • Review the materials in the Notes from Your Instructor folder.

4

1,13, 14,15, 16

Topic: Modeling Bivariate Data and Probability

  • Text: Lumen One, Modules 6, 7
  • Complete the Module 6 Modeling Bivariate Data Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 6 Modeling Bivariate Data Quiz
  • Complete the Module 7 Probability Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 7 Probability Quiz
  • Participate in the Week 4 Discussion Board by opening the Discussion folder on this page. The Q & A forum will be available each week.
  • Review the materials in the Notes from Your Instructor folder.

5

17,18,
19,20

Topic: Probability Distributions and Sampling Distributions

  • Text:  Lumen One, Modules 8 and 9
  • Complete the Module 8 Probability Distributions Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 8 Probability Distributions Quiz
  • Complete the Module 9 Introduction to Sampling Distributions Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 9 Introduction to Sampling Distributions Quiz
  • Participate in the Week 5 Discussion Board by opening the Discussion folder on this page. The Q & A forum will be available each week.
  • Review the materials in the Notes from Your Instructor folder.

6

1,20,
21,22

Topic: EXAM 2 & Confidence Intervals for Population Proportions

  • Text: Lumen One, Review Modules 5-9, Module 10
  • Review the quizzes for Modules 5 - 9.
  • Take Practice Exam 2
  • Take Exam 2
  • Complete the Module 10 Confidence Intervals for Population Proportions Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 10 Confidence Intervals for Population Proportions Quiz
  • Participate in the Week 6 Discussion Board by opening the Discussion folder on this page. The Q & A forum will be available each week.
  • Review the materials in the Notes from Your Instructor folder.

7

1,20,
21,22

Topic: Hypothesis Tests for Population Proportions & Confidence Intervals for Population Means

  • Text: Lumen One, Modules 11 and 12
  • Complete the Module 11 Hypothesis Testing for a Population Proportion Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 11 Hypothesis Testing for a Population Proportion Quiz
  • Complete the Module 12 Confidence Intervals for Population Means Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 12 Confidence Intervals for Population Means Quiz
  • Participate in the Week 7 Discussion Board by opening the Discussion folder on this page. The Q & A forum will be available each week.
  • Review the materials in the Notes from Your Instructor folder.

8

1,20,
21,22

Topic: EXAM 3 & Hypothesis Tests for Population Means

  • Text: Lumen One, Review Modules 10-12, Module 13
  • Review the quizzes for Modules 10 - 12.
  • Take Practice Exam 3
  • Take Exam 3
  • Complete the Module 13 Hypothesis Testing for Population Means Study Plan (Readiness Check, Learn, Practice Problems)
  • Complete the Module 13 Hypothesis Testing for Population Means for Population Proportions Quiz
  • Participate in the Week 8 Discussion Board by opening the Discussion folder on this page. The Q & A forum will be available each week.
  • Review the materials in the Notes from Your Instructor folder.
  • Complete Course Evaluation

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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.

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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.