### Synopses & Reviews

A condensed and more streamlined version of the very popular and widely used UNDERSTANDABLE STATISTICS, Ninth Edition, this book offers users an effective way to teach the essentials of statistics, including early coverage of Regression, within a more limited time frame. Designed to help users overcome their apprehension about statistics, UNDERSTANDING BASIC STATISTICS, Fifth Edition, is a thorough yet approachable book that provides plenty of guidance and informal advice demonstrating the links between statistics and the world. The strengths of the book include an applied approach that helps users realize the real-world significance of statistics, an accessible exposition, and a new, complete technology package. The Fifth Edition addresses the growing importance of developing students' critical thinking and statistical literacy skills with the introduction of new features and exercises throughout the text. The use of the graphing calculator, Microsoft? Excel?, Minitab?, and SPSS is covered but not required.

#### Synopsis

A condensed, streamlined version of the popular, widely used Understandable Statistics, 8/e, this text offers instructors an effective solution to teaching the essentials of statistics within a shorter time frame.

Designed to help students overcome their apprehension about statistics, Understanding Basic Statistics, 4/e is a thorough, accessible text that demonstrates the applicability of statistics in the real world. Student-friendly highlights of the Fourth Edition include solutions and key steps to odd-numbered problems, highlighted definitions, Expand Your Knowledge and Cumulative Review Problems, and a complete technology package with additional learning opportunities and skills-reinforcement exercises.Coverage of regression appears early in this edition.Procedures provide a brief summary of the statistical methods introduced in each chapter section. Examples and Guided Exercises demonstrate each Procedure.Cumulative Review Problems appear at the end of Chapters 3, 6, 9, and 11 and integrate concepts introduced in the previous three chapters.Guided Exercises immediately follow selected examples and provide an opportunity for students to explore new concepts. Worked-out solutions next to each exercise give students immediate reinforcement.Focus Points at the beginning of each section introduce the topics to be covered.Data Highlights: Group Projects at the end of each chapter simulate real-world working situations. Together students discuss topics, analyze data, and formulate a group response to questions posed in the exercise.Linking Concepts: Writing Projects challenge students to craft an essay response to questions that apply statistical concepts toreal life situations.

#### Synopsis

A condensed, streamlined version of the popular, widely used Understandable Statistics, 8/e, this text offers instructors an effective solution to teaching the essentials of statistics within a shorter time frame. Designed to help students overcome their apprehension about statistics, Understanding Basic Statistics, 4/e is a thorough, accessible text that demonstrates the applicability of statistics in the real world. Student-friendly highlights of the Fourth Edition include solutions and key steps to odd-numbered problems, highlighted definitions, Expand Your Knowledge and Cumulative Review Problems, and a complete technology package with additional learning opportunities and skills-reinforcement exercises.

### About the Author

Charles Brase has more than 30 years of full-time teaching experience in mathematics and statistics. He taught at the University of Hawaii, Manoa Campus, for several years and at Regis University in Denver, Colorado, for more than 28 years. Charles received the Excellence in Teaching award from the University of Hawaii and the Faculty Member of the Year award from Regis University on two occasions. He earned degrees from the University of Colorado, Boulder, and has a Ph.D. in Mathematics, an M.A. in Mathematics, and a B.A. in Physics. Corrinne has taught at Hawaii Pacific College, Honolulu Community College, and Arapahoe Community College in Littleton, Colorado. She was also involved in the mathematics component of an equal opportunity program at the University of Colorado. Corrinne received the Faculty of the Year award from Arapahoe Community College. She earned degrees from the University of Colorado, Boulder, and has an M.A. and B.A. in Mathematics.

### Table of Contents

Each chapter concludes with a Summary, Important Words and Symbols, Chapter Review Problems, Data Highlights: Group Projects, Linking Concepts: Writing Projects, and Using Technology. Preface A User's Guide to Features Table of Prerequisite Material 1. Getting Started Focus Problem: Where Have All the Fireflies Gone? 1.1 What Is Statistics? 1.2 Random Samples 1.3 Introduction to Experimental Design 2. Organizing Data Focus Problem: Say It with Pictures 2.1 Bar Graphs, Circle Graphs, and Time Plots 2.2 Frequency Distributions and Histograms 2.3 Stem-and-Leaf Displays 3. Averages and Variation Focus Problem: Why Bother! 3.1 Measures of Central Tendency: Mode, Median, and Mean 3.2 Measures of Variation 3.3 Percentiles and Box-and-Whisker Plots 4. Regression and Correlation Focus Problem: Changing Populations and Crime Rate 4.1 Introduction to Paired Data and Scatter Diagrams 4.2 Linear Regression 4.3 The Linear Correlation Coefficient 5. Elementary Probability Theory Focus Problem: How Often Do Lie Detectors Lie? 5.1 What Is Probability? 5.2 Some Probability Rules--Compound Events 5.3 Trees and Counting Techniques 6. The Binomial Probability Distribution and Related Topics Focus Problem: Personality Preference Types: Introvert or Extrovert? 6.1 Introduction to Random Variables and Probability Distributions 6.2 Binomial Probabilities 6.3 Additional Properties of the Binomial Distribution 7. Normal Distributions Focus Problem: Large Auditorium Shows: How Many Will Attend? 7.1 Graphs of Normal Probability Distributions 7.2 Standard Units and Areas Under the Standard Normal Distribution 7.3 Areas Under Any Normal Curve 7.4 Normal Approximation to the Binomial Distribution 8. Introduction to Sampling Distributions Focus Problem: Impulse Buying 8.1 Sampling Distributions 8.2 The Central Limit Theorem 8.3 Class Project Illustrating the Central Limit Theorem 9. Estimation Focus Problem: Trick or Treat! 9.1 Estimating ? with Large Samples 9.2 Estimating ? with Small Samples 9.3 Estimating p in the Binomial Distribution 9.4 Choosing the Sample Size 10. Hypothesis Testing Focus Problem: Business Opportunities and Start-Up Costs 10.1 Introduction to Hypothesis Testing 10.2 Test Involving the Mean ? (Large Samples) 10.3 The P Value in Hypothesis Testing 10.4 Tests Involving the Mean ? (Small Samples) 10.5 Tests Involving a Proportion 11. Inferences About Differences Focus Problem: The Trouble with Wood Ducks 11.1 Tests Involving Paired Difference (Dependent Samples) 11.2 Inferences About the Difference of Two Means (Large, Independent Samples) 11.3 Inferences About the Difference of Two Means (Small, Independent Samples) 11.4 Inferences About the Difference of Two Proportions 12. Additional Topics Using Inference Focus Problem: Stone Age Tools and Archaeology Part I: Hypothesis Tests Using the Chi-Square Distribution 12.1 Chi Square: Tests of Independence 12.2 Chi Square: Goodness of Fit 12.3 Testing a Single Variance or Standard Deviation Part II: Inferences Relating to Linear Regression 12.4 Linear Regression: Confidence Intervals for Predictions 12.5 Testing the Correlation Coefficient and the Slope Appendix. Tables Table 1: Random Numbers Table 2: Binomial Coefficients Cn,r Table 3: Binomial Probability Distribution Cn,rprqn-r Table 4: Areas of a Standard Normal Distribution Table 5: Student's t Distribution Table 6: The X2 Distribution Photo Credits Answers and Key Steps to Odd-Numbered Problems Index