STAT 1201
Introduction to Probability and Statistics

3.0 Credits

Description

Students are introduced to the concepts and methods of statistics, including variability, randomness, and probability. A statistical software program is used to facilitate the analysis of data sets and the understanding of statistical concepts, and to carry out simulation of experiments. Many jobs or professions require that objective decisions be made based on statistical data; students are taught how to collect, analyze, and interpret data correctly. Students are also shown how to clearly and accurately present data to others.

Delivery Method

Print-based and Web-based.

Prerequisites

Although this course does not involve complex mathematics, Principles of Math 11, Pre-calculus 11, Foundations of Math 11, Math 0523 or equivalent skills as established by the math placement test. Basic computer literacy. Students lacking the required mathematical background are advised to take a preparatory course before attempting this course.

Exclusions

Only one of STAT 1019, STAT 1201, and PSYC 2101 may be taken for credit in programs offered through TRU-OL.

Objectives

After completing this course, the student should be able to:

  • Distinguish between quantitative and categorical data and know which graphical and tabular techniques to apply to each.
  • Produce and interpret graphical displays for simple data sets.
  • Calculate and interpret measures for the centre and spread of a data set.
  • Identify how and when to use the Normal model.
  • Identify when correlation and regression analyses are appropriate.
  • Calculate and interpret correlation coefficient and regression line equations.
  • Discuss issues associated with collecting and interpreting data from sample surveys and polls.
  • Identify the role of randomization in sample surveys.
  • Distinguish between an experiment and an observational study.
  • Discuss the basic principles of experimental design.
  • Set up a basic simulation model.
  • Calculate probabilities using Venn diagrams, tree diagrams, and the Addition and Multiplication rules.
  • Describe the concepts of mutually exclusive events, conditional probability, dependent and independent events.
  • Calculate probabilities using the Binomial distribution.
  • Discuss the concept of a sampling distribution.
  • Describe what is meant by the central limit theorem, and understand its relevance to statistical inference.
  • Calculate and interpret confidence intervals for estimating population proportions and means.
  • Formulate null and alternative hypotheses.
  • Conduct hypothesis tests for population proportions and means.
  • Explain the meaning of P-values in hypothesis testing.
  • Identify when and how to use the t-distribution.
  • Determine appropriate sample sizes for estimating an unknown population proportion or mean.
  • Conduct a Chi-Square test of independence.

Course Outline

  • Unit 1: Exploring and Understanding Data
  • Unit 2: Exploring Relationships between Variables
  • Unit 3: Gathering Data
  • Unit 4: Randomness and Probability
  • Unit 5: From Data at Hand to the World at Large
  • Unit 6: Learning About the World

Maximum Completion

30 weeks.

Required Text and Materials

NOTE: Students will receive custom reprinted texts for both textbooks and listed below are two ISBN's for each textbook. The first one is the textbook ISBN, the second is the Custom Edition ISBN. All content is the same.

  1. De Veaux, R, Velleman, P., and Bock, D. Intro Stats with CD. 4th ed. New York: Pearson/Addison-Wesley, 2014.
    Type: Textbook: ISBN: 978-0-321-82527-8 / 0-321-82527-6 / PEARSON CUSTOM REPRINT ISBN: 978-1-269-59271-0 / 1-269-59271-8
  1. Craine III, William B.,De Veaux, R., Velleman, P. and Bock, D. Intro Stats. Student Solutions Manual. 4th ed. New York: Pearson/Addison-Wesley, 2014.
    Type: Textbook: ISBN: 978-0-321-82548-3 / 0-321-82548-9 / PEARSON CUSTOM REPRINT ISBN: 978-1-269-59270-3 / 1-269-59270-X

Additional Requirements

TI-83 ®, TI-83 Plus ®, TI-84 ®, or a TI-84 Plus ® calculator for assignments and the final exam.

Note: Students will receive a CD with their textbook, it is not required but will enhance the students understanding of the concepts. To play the CD students will require a CD-ROM drive.

Open Learning Faculty Member Information

An Open Learning Faculty member is available to assist students. Primary communication is by phone if taking the print version of the course and through the Learning Environment's "Mail" tool if taking the web version. Students will receive the necessary contact information at start course.

Assessment

In order to successfully complete this course, students must obtain at least 50% on the mandatory final examination and 50% overall.

Assignment 1 8%
Assignment 2 6%
Assignment 3 6%
Assignment 4 6%
Assignment 5 8%
Assignment 6 6%
Final Exam * 60%
Total 100%

* Mandatory