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by Charles Henry Brase and Corrinne Pellillo Brase

Edition: 3RD 04Copyright: 2004

Publisher: Houghton Mifflin Harcourt

Published: 2004

International: No

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A condensed and more streamlined version of the very popular and widely used Understandable Statistics, 7/e, this book offers instructors an effective solution to teaching the essentials of statistics within a more limited time frame. Designed to help students overcome their apprehension about statistics, Understanding Basic Statistics is a thorough, yet approachable text that provides plenty of guidance and informal advice demonstrating the links between statistics and the world. To reinforce its real-world approach, the book integrates graphing technology as well as real-life data selected from a variety of sources including journals, periodicals, newspapers and the Internet, and from such fields as business, medicine, archaeology, and consumer economics. The Third Edition includes several new features that enhance learning and simplify instructor preparation. A robust set of technology resources, including a Video/DVD series, provides students with valuable reinforcement.

- New! HM StatPass Student CD-ROM, packaged FREE with every new student text, features the ComputerStat statistical software program, data sets, and a tutorial program.
- New! HM ClassPrep with HM Testing Version 6.0 CD-ROM provides instructors with access to both lecture aids and testing software in one convenient tool.
- New! Focus Points found at the beginning of each section list the various concepts that will be covered in the section.
- New! Tech Notes provide general tips on appropriate use of the TI-83 Plus, Minitab, and Excel. They also incorporate display screens from each of these technologies to help students work through a statistical problem and better understand the solution. Denoted by an icon, Tech Notes appear in section examples, when appropriate.
- New! Redesigned Chapter Openers offer new pedagogical features to further support learning: a brief Chapter Table of Contents, new photos, and a set of pertinent Preview Questions with section references. and new photos. Chapter-opening material maintains the book's emphasis on real world applications with quotes, commentary, and updated Chapter Focus Problems.
- New! Labels for Examples, Guided Exercises, End-of-Section Exercises, and Review Problems help students identify the focus or topic of an exercise.
- New! A removable Formula Card containing "Frequently Used Formulas" organized by chapter, areas of standard normal distribution, and values generated by Minitab version 9.2, is automatically packaged with new texts.
- Thought-provoking Viewpoint boxes placed in most exercise sets focus on real-world situations and help to humanize statistics. Many of the Viewpoints refer students to relevant Internet sites for further exploration.
- Special chapter-ending projects include Data Highlights: Group Projects, which offer practice in collaborative discussion, analysis, and problem solving; and Linking Concepts: Writing Projects, which challenge students to extend their thinking and examine statistical concepts from a broader perspective, usually in essay form.
- Detailed Examples walk students through the process of selecting and applying appropriate procedures to solve problems, and Guided Exercises follow selected examples to give students the opportunity to work with new concepts before more are presented. Completely worked out solutions are situated beside each exercise for immediate reinforcement.
- Using Technology Sections include real-world data from a variety of disciplines and can be solved using a computer software package or a graphing calculator. Screen displays from Minitab, the TI-83, Excel, and ComputerStat are also included, along with helpful instructions.
- Section Exercises, featuring updated real data problems, require students to use all the new concepts mastered in the preceding section. Key steps to solutions of odd-numbered problems are contained in the back of the text. Comprehensive Chapter Review Problems cover each topic introduced in the chapter and often synthesize material and concepts from several sections.

**Brase, Charles Henry : Regis University**

Brase, Corrinne Pellillo : Arapahoe Community College

(Each chapter concludes with a Summary, Important Words and Symbols, Chapter Review Problems, Data Highlights: Group Projects, Linking Concepts: Writing Projects, and Using Technology.)

Table of Prerequisite Material

Preface

User's Guide to Features

**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 Population and Crime Rates

4.1 Introduction to Paired Data and Scatter Diagrams

4.2 Linear Regression and Confidence Bounds for Prediction

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

**9. Estimation **

Focus Problem: Trick or Treat!

9.1 Estimating with Large Samples

9.2 Estimating with Small Samples

9.3 Estimating 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 Duck

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

Answers and Key Steps to Odd-Numbered Problems

Index

Photo Credits and Text Permissions

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Summary

A condensed and more streamlined version of the very popular and widely used Understandable Statistics, 7/e, this book offers instructors an effective solution to teaching the essentials of statistics within a more limited time frame. Designed to help students overcome their apprehension about statistics, Understanding Basic Statistics is a thorough, yet approachable text that provides plenty of guidance and informal advice demonstrating the links between statistics and the world. To reinforce its real-world approach, the book integrates graphing technology as well as real-life data selected from a variety of sources including journals, periodicals, newspapers and the Internet, and from such fields as business, medicine, archaeology, and consumer economics. The Third Edition includes several new features that enhance learning and simplify instructor preparation. A robust set of technology resources, including a Video/DVD series, provides students with valuable reinforcement.

- New! HM StatPass Student CD-ROM, packaged FREE with every new student text, features the ComputerStat statistical software program, data sets, and a tutorial program.
- New! HM ClassPrep with HM Testing Version 6.0 CD-ROM provides instructors with access to both lecture aids and testing software in one convenient tool.
- New! Focus Points found at the beginning of each section list the various concepts that will be covered in the section.
- New! Tech Notes provide general tips on appropriate use of the TI-83 Plus, Minitab, and Excel. They also incorporate display screens from each of these technologies to help students work through a statistical problem and better understand the solution. Denoted by an icon, Tech Notes appear in section examples, when appropriate.
- New! Redesigned Chapter Openers offer new pedagogical features to further support learning: a brief Chapter Table of Contents, new photos, and a set of pertinent Preview Questions with section references. and new photos. Chapter-opening material maintains the book's emphasis on real world applications with quotes, commentary, and updated Chapter Focus Problems.
- New! Labels for Examples, Guided Exercises, End-of-Section Exercises, and Review Problems help students identify the focus or topic of an exercise.
- New! A removable Formula Card containing "Frequently Used Formulas" organized by chapter, areas of standard normal distribution, and values generated by Minitab version 9.2, is automatically packaged with new texts.
- Thought-provoking Viewpoint boxes placed in most exercise sets focus on real-world situations and help to humanize statistics. Many of the Viewpoints refer students to relevant Internet sites for further exploration.
- Special chapter-ending projects include Data Highlights: Group Projects, which offer practice in collaborative discussion, analysis, and problem solving; and Linking Concepts: Writing Projects, which challenge students to extend their thinking and examine statistical concepts from a broader perspective, usually in essay form.
- Detailed Examples walk students through the process of selecting and applying appropriate procedures to solve problems, and Guided Exercises follow selected examples to give students the opportunity to work with new concepts before more are presented. Completely worked out solutions are situated beside each exercise for immediate reinforcement.
- Using Technology Sections include real-world data from a variety of disciplines and can be solved using a computer software package or a graphing calculator. Screen displays from Minitab, the TI-83, Excel, and ComputerStat are also included, along with helpful instructions.
- Section Exercises, featuring updated real data problems, require students to use all the new concepts mastered in the preceding section. Key steps to solutions of odd-numbered problems are contained in the back of the text. Comprehensive Chapter Review Problems cover each topic introduced in the chapter and often synthesize material and concepts from several sections.

Author Bio

**Brase, Charles Henry : Regis University**

Brase, Corrinne Pellillo : Arapahoe Community College

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.)

Table of Prerequisite Material

Preface

User's Guide to Features

**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 Population and Crime Rates

4.1 Introduction to Paired Data and Scatter Diagrams

4.2 Linear Regression and Confidence Bounds for Prediction

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

**9. Estimation **

Focus Problem: Trick or Treat!

9.1 Estimating with Large Samples

9.2 Estimating with Small Samples

9.3 Estimating 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 Duck

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

Answers and Key Steps to Odd-Numbered Problems

Index

Photo Credits and Text Permissions

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2004

International: No

Published: 2004

International: No

A condensed and more streamlined version of the very popular and widely used Understandable Statistics, 7/e, this book offers instructors an effective solution to teaching the essentials of statistics within a more limited time frame. Designed to help students overcome their apprehension about statistics, Understanding Basic Statistics is a thorough, yet approachable text that provides plenty of guidance and informal advice demonstrating the links between statistics and the world. To reinforce its real-world approach, the book integrates graphing technology as well as real-life data selected from a variety of sources including journals, periodicals, newspapers and the Internet, and from such fields as business, medicine, archaeology, and consumer economics. The Third Edition includes several new features that enhance learning and simplify instructor preparation. A robust set of technology resources, including a Video/DVD series, provides students with valuable reinforcement.

- New! HM StatPass Student CD-ROM, packaged FREE with every new student text, features the ComputerStat statistical software program, data sets, and a tutorial program.
- New! HM ClassPrep with HM Testing Version 6.0 CD-ROM provides instructors with access to both lecture aids and testing software in one convenient tool.
- New! Focus Points found at the beginning of each section list the various concepts that will be covered in the section.
- New! Tech Notes provide general tips on appropriate use of the TI-83 Plus, Minitab, and Excel. They also incorporate display screens from each of these technologies to help students work through a statistical problem and better understand the solution. Denoted by an icon, Tech Notes appear in section examples, when appropriate.
- New! Redesigned Chapter Openers offer new pedagogical features to further support learning: a brief Chapter Table of Contents, new photos, and a set of pertinent Preview Questions with section references. and new photos. Chapter-opening material maintains the book's emphasis on real world applications with quotes, commentary, and updated Chapter Focus Problems.
- New! Labels for Examples, Guided Exercises, End-of-Section Exercises, and Review Problems help students identify the focus or topic of an exercise.
- New! A removable Formula Card containing "Frequently Used Formulas" organized by chapter, areas of standard normal distribution, and values generated by Minitab version 9.2, is automatically packaged with new texts.
- Thought-provoking Viewpoint boxes placed in most exercise sets focus on real-world situations and help to humanize statistics. Many of the Viewpoints refer students to relevant Internet sites for further exploration.
- Special chapter-ending projects include Data Highlights: Group Projects, which offer practice in collaborative discussion, analysis, and problem solving; and Linking Concepts: Writing Projects, which challenge students to extend their thinking and examine statistical concepts from a broader perspective, usually in essay form.
- Detailed Examples walk students through the process of selecting and applying appropriate procedures to solve problems, and Guided Exercises follow selected examples to give students the opportunity to work with new concepts before more are presented. Completely worked out solutions are situated beside each exercise for immediate reinforcement.
- Using Technology Sections include real-world data from a variety of disciplines and can be solved using a computer software package or a graphing calculator. Screen displays from Minitab, the TI-83, Excel, and ComputerStat are also included, along with helpful instructions.
- Section Exercises, featuring updated real data problems, require students to use all the new concepts mastered in the preceding section. Key steps to solutions of odd-numbered problems are contained in the back of the text. Comprehensive Chapter Review Problems cover each topic introduced in the chapter and often synthesize material and concepts from several sections.

**Brase, Charles Henry : Regis University**

Brase, Corrinne Pellillo : Arapahoe Community College

(Each chapter concludes with a Summary, Important Words and Symbols, Chapter Review Problems, Data Highlights: Group Projects, Linking Concepts: Writing Projects, and Using Technology.)

Table of Prerequisite Material

Preface

User's Guide to Features

**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 Population and Crime Rates

4.1 Introduction to Paired Data and Scatter Diagrams

4.2 Linear Regression and Confidence Bounds for Prediction

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

**9. Estimation **

Focus Problem: Trick or Treat!

9.1 Estimating with Large Samples

9.2 Estimating with Small Samples

9.3 Estimating 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 Duck

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

Answers and Key Steps to Odd-Numbered Problems

Index

Photo Credits and Text Permissions