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 Methods

Online, self-paced and Print, self-paced.

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.

Students lacking the required mathematical background are advised to take a preparatory course before attempting this course.

Basic computer literacy.

Exclusions

PSYC 2101

STAT 1019

SOCI 3559

STAT 2039

BIOL 3000

BUEC 2320

ECON 2320

PSYC 2100

SOCI 2710

STAT 2019

PSYC 2019

STAT 1200

STAT 2000

STAT 1209

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.
  • 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.
  • 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: Interference for Relationships

Course Duration

30 weeks.

Required Text and Materials

  1. De Veaux, R. D., Velleman, P. F., & Bock, D. E. (2018). Intro stats (5th ed.). Boston: Pearson Addison Wesley.
    Type: Textbook: ISBN 978-0-13-421022-3
  1. Craine, W. B. (2018). Student’s solutions manual (5th ed.). Boston: Pearson, Addison Wesley.
    Type: Student Solutions Manual ISBN: 978-0-13-426535-3

Note: It is important for students to have the 5th edition of the Student’s solutions manual to accompany the 5th edition of Intro Stats textbook. The solutions manual provides detailed solutions to the odd-numbered exercises in the textbook, while the textbook alone, provides brief solutions in Appendix A to odd-numbered questions.

Please be aware that the above textbooks are provided to students as a bundle with access to MyStatLab. The Bundle ISBN is: 9780135222973

Additional Requirements

You are required to have a TI-83®, TI-83 Plus®, TI-84®, or TI-84 Plus® calculator for this course. These calculators are readily available at electronic stores for approximately $120, or you may be able to purchase a used calculator since secondary school and college students use them extensively. You will need the calculator for your assignments and final exam.

Open Learning Faculty Member

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

Assessments

To successfully complete this course, students must achieve a passing grade of 50% or higher on the overall course, and 50% or higher on the final mandatory exam.

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

* Mandatory