MAT 131 Elementary Statistics and Probability

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Course Description

A practical course in probability and statistics including such topics as the binomial and normal distributions, confidence intervals, t, F, and chi-square tests, linear regression and correlation, and conditional probability. Three hours of lecture per week.

MAT 131 meets for three hours of lecture per week.

Prerequisites

Fulfillment of ELM requirement.

Objectives

After completing MAT 131 the student will be able to

• demonstrate understanding of the relationship between a question that is asked in the natural, economic, and social sciences and the nature of the numerical data that are needed in order to provide an answer to the question,
• carry out the required algebraic manipulations, with appropriate use of a calculator, to analyze and understand the implications contained in a set of numerical data,
• draw a valid inference from a collection of numerical data.

Expected outcomes

Students should be able to demonstrate through written assignments, tests, and/or oral presentations, that they have achieved the objectives of MAT 131.

Method of Evaluating Outcomes

Evaluations are based on homework, class participation, short tests scheduled examinations covering students' understanding of the relationship between factual questions and numerical data, skill in mathematically analyzing numerical data, skill in drawing valid inferences from numerical data, and related topics that are covered in MAT 131. Most instructors give "closed-book" in-class examinations with no books, notes, "crib sheets", etc. allowed. However they encourage students to use the most advanced calculators available in both homework assignments and examinations. Statistical tables and a few of the more complex formulas are provided for use on exams at the instructors' discretion.

Text

Basic Practice of Statistics, by David Moore. W.H. Freeman & Co., 2013.

Suggested Course Outline

A course may be based on the following chapters in the text. Other topics may be included as time permits.

• 1. Picturing Distributions with Graphs
• 2. Describing Distributions with Numbers
• 3. The Normal Distributions
• 4. Scatterplots and Correlation
• 5. Regression
• 6. Two-way tables
• 8. Producing data: Sampling
• 9. Producing data: Experiments
• 10. Introducing Probablity
• 11. Sampling Distributions
• 12. General Rules of Probability
• 13. Binomial Distributions
• 14. Confidence Intervals: the Basics
• 15. Tests of Significance: the Basics
• 16. Inference in Practice
• 18. Inference about a Population Mean (t-test)

Students' grades are based on homework, class participation, short tests, and scheduled examinations covering students' understanding of the topics covered in MAT 131. The instructor determines the relative weights of these factors.

Attendance Requirements

Attendance policy is set by the instructor.

Policy on Due Dates and Make-Up Work

Due dates and policy regarding make-up work are set by the instructor.

Schedule of Examinations

The instructor sets all test dates except the date of the final exam. The final exam is given at the date and time announced in the Schedule of Classes.