Introductory Probability and Statistics

Team members: Marianna Bonanome, Suman Ganguli, Victor Sirelson and Ezra Halleck (City Tech), Ramon Rasaq (BCC)

If you would like to use our sets please contact: Marianna Bonanome at mbonanome@citytech.cuny.edu or Andrew Parker at kparker@citytech.cuny.edu

Instructions to use our WeBWorK sets:

These sets are still a work in progress and that we are looking for feedback so we can improve them. 

The team’s goal is to provide an ample selection of problems. There are many more problems than anyone necessarily wants to assign and that it is up to the instructor to go through and assign only those problems appropriate to to his/her campus-specific curriculum before opening up the set to the students.

It is ok to just delete and reorder the problems in each set since we have master copies on our development server. 

If you decide to use the course again with your configurations saved, you can archive it at the end of the semester to import to another class of yours.

When leaving your feedback, please be as specific as possible. Include a problem path file if possible so we can identify and rectify issues. General comments on style, language, consistency etc. are also welcome. We appreciate your time and your help!

Please leave your feedback for Introductory Probability and Statistics WeBWorK sets here.

Openstax Table of Contents – WeBWorK sets are under development for the following sections:

1 Sampling and Data

1.1 Definitions of Statistics, Probability, and Key Terms

1.2 Data, Sampling, and Variation in Data and Sampling

1.3 Frequency, Frequency Tables, and Levels of Measurement

2 Descriptive Statistics

2.1 Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs

2.2 Histograms, Frequency Polygons, and Time Series Graphs

2.3 Measures of the Location of the Data

2.5 Measures of the Center of the Data

2.6 Skewness and the Mean, Median, and Mode

2.7 Measures of the Spread of the Data

2.8 Descriptive Statistics

3 Probability Topics

3.2 Independent and Mutually Exclusive Events

3.3 Two Basic Rules of Probability

3.5 Tree and Venn Diagrams

3.6 Probability Topics

4 Discrete Random Variables

4.1 Probability Distribution Function (PDF) for a Discrete Random Variable

4.2 Mean or Expected Value and Standard Deviation

4.3 Binomial Distribution

4.6 Poisson Distribution

5 Continuous Random Variables

5.1 Continuous Probability Functions

5.2 The Uniform Distribution

5.4 Continuous Distribution

6 The Normal Distribution

6.1 The Standard Normal Distribution

6.2 Using the Normal Distribution

7 The Central Limit Theorem

7.1 The Central Limit Theorem for Sample Means (Averages)

7.2 The Central Limit Theorem for Sums

7.3 Using the Central Limit Theorem

8 Confidence Intervals

8.1 A Single Population Mean using the Normal Distribution

8.2 A Single Population Mean using the Student t Distribution

8.3 A Population Proportion

9 Hypothesis Testing with One Sample

9.1 Null and Alternative Hypotheses

9.2 Outcomes and the Type I and Type II Errors

9.3 Distribution Needed for Hypothesis Testing

9.4 Rare Events, the Sample, Decision and Conclusion

9.5 Additional Information and Full Hypothesis Test Examples

9.6 Hypothesis Testing of a Single Mean and Single Proportion

10 Hypothesis Testing with Two Samples

10.1 Two Population Means with Unknown Standard Deviations

10.2 Two Population Means with Known Standard Deviations

10.3 Comparing Two Independent Population Proportions

10.4 Matched or Paired Samples

10.5 Hypothesis Testing for Two Means and Two Proportions

11 The Chi-Square Distribution

Introduction

11.1 Facts About the Chi-Square Distribution

11.2 Goodness-of-Fit Test

12 Linear Regression and Correlation

12.1 Linear Equations

12.2 Scatter Plots

12.3 The Regression Equation

12.4 Testing the Significance of the Correlation Coefficient

12.5 Prediction