This is an example.

## Solution.

Full solutions to examples are provided here, within the example.

AP© is a trademark registered and owned by the College Board, which was not involved in the production of, and does not endorse, this product.

`https://apcentral.collegeboard.org/pdf/ap-statistics-course-and-exam-description.pdf?course=ap-statistics`

apcentral.collegeboard.org/pdf/ap-statistics-course-description.pdfThis book may be downloaded as a free PDF at

`https://www.openintro.org/book/ahss/`

.We hope readers will take away three ideas from this book in addition to forming a foundation of statistical thinking and methods.

- Statistics is an applied field with a wide range of practical applications.
- You don’t have to be a math guru to learn from real, interesting data.
- Data are messy, and statistical tools are imperfect. But, when you understand the strengths and weaknesses of these tools, you can use them to learn about the real world.

The chapters of this book are as follows:

*Data collection.*Data structures, variables, and basic data collection techniques; experimental designs and sampling methods are presented and compared.*Summarizing data.*Data summaries and graphics; includes normal approximation for data.*Probability and probability distributions.*The basic principles of probability and random variables, as well as an introduction to the geometric and binomial distributions.*Sampling distributions.*Sampling distributions for a sample proportion and a sample mean; also includes distributions for a difference of sample means and a difference of sample proportions.*Foundations for inference.*General ideas for statistical inference in the context of estimating the population proportion.*Inference for categorical data.*Inference for proportions and contingency tables using the normal and chi-square distributions.*Inference for numerical data.*Inference for one or two sample means using the \(t\)-distribution.*Introduction to linear regression.*An introduction to regression with two variables; includes inference on the slope of the regression line.

OpenIntro is focused on increasing access to education by developing free, high-quality education materials. In addition to textbooks, we provide the following accompanying resources to help teachers and students be successful.

- Video overviews for each section of the textbook
- Lecture slides for each section of the textbook
- Video solutionsfor selected section and chapter exercises
^{ 4 }`www.youtube.com/watch?v=_tkXliDLL_o&list=PLkIselvEzpM4AQEGTWF95pYy3ZqwTXkHc`

- Statistical software labs
- A small but growing number of Desmos activities
^{ 5 }`www.openintro.org/book/ahss/`

- Quizletsets for each chapter
^{ 6 }`quizlet.com/openintro-ahss`

- A Tableau publicpage to further interact with data sets.
^{ 7 }`public.tableau.com/profile/openintro#!/`

- Online, interactive version of textbook. Developed by Emiliano Vega and Ralf Youtz of Portland Community College using PreTeXt.
^{ 8 }`www.openintro.org/book/ahss/`

- Complete companion course with the learning management software MyOpenMath
^{ 9 }`www.myopenmath.com/course/public.php?cid=11774`

- Complete Canvas course accessible through Canvas Commons
^{ 10 }`sfuhs.instructure.com/courses/1068/`

All of these resources can be found at: openintro.org/book/ahss/^{ 11 }

`www.openintro.org/book/ahss/`

We also have improved the ability to access data in this book through the addition of Appendix A, which provides additional information for each of the data sets used in the main text and is new in the Second Edition. Online guides to each of these data sets are also provided at openintro.org/data/^{ 12 }

and through a companion R package^{ 13 }

.

`www.openintro.org/data/`

`github.com/OpenIntroStat/openintro-r-package`

Many examples are provided to establish an understanding of how to apply methods.

This is an example.

Full solutions to examples are provided here, within the example.

When we think the reader should be ready to do an example problem on their own, we frame it as Guided Practice.

The reader may check or learn the answer to any Guided Practice problem by reviewing the full solution in a footnote.^{ 14 }

Guided Practice solutions are always located down here!

Exercises are also provided at the end of each section and each chapter for practice or homework assignments. Solutions are included at the end of each odd-numbered exercises.

We encourage anyone learning or teaching statistics to visit openintro.org/^{ 15 }

and get involved. We value your feedback. Please send any questions or comments to ^{ 16 }

`www.openintro.org/`

`leah@openintro.org`

. You can also provide feedback, report typos, and review known typos at openintro.org/ahss/feedback`www.openintro.org/form/?f=stat_feedback`

This project would not be possible without the passion and dedication of all those involved. The authors would like to thank the OpenIntro Staff^{ 17 }

for their involvement and ongoing contributions. We are also very grateful to the hundreds of students and instructors who have provided us with valuable feedback since we first started working on this project in 2009. A special thank you to Stephen Miller and Juan Gomez for reviewing and providing feedback on the third edition of AHSS.

`www.openintro.org/team/`