**Fundamentals of Statistics 6th Edition by Michael Sullivan, ISBN-13: 978-0136807346**

[PDF eBook eTextbook]

- Publisher: Pearson; 5th edition (January 1, 2017)
- Language: English
- 737 pages
- ISBN-10: 0136807348
- ISBN-13: 978-0136807346

* Fundamentals of Statistics, 6th Edition *helps you connect statistical concepts with an approach that’s taken right from the author’s own classroom.

*draws on his passion for both statistics and teaching to show that statistics is connected not only in concepts, but to the world at large. This brief version of Statistics: Informed Decisions Using Data pulls his ideas and strategies into a wealth of new and updated exercises, examples and much more. By utilizing the latest statistical software, students can focus on building conceptual understanding rather than memorizing formulas. All additional resources were also created by Mike for his classroom and are available to help every student succeed and stay engaged.*

**Mike Sullivan****Table of Contents:**

Sullivan’s Pathway to Making an Informed Decision

Fundamentals of Statistics Informed Decisions Using Data

Contents

Preface to the Instructor

Integration of Technology

Companion Website Contents

Key Chapter Content Changes

Flexible to Work with Your Syllabus

Resources for Success

Applications Index

Accounting

Aeronautics

Agriculture

Animals/Nature

Anthropometrics

Astronomy

Banking

Biology

Business. See also Work

Chemistry

Combinatorics

Communication(s)

Computer(s). See also Internet

Construction

Consumers

Crime(s)

Criminology

Demographics

Drugs. See also Pharmaceuticals

Economy

Education. See also Test(s)

Electricity

Electronics

Energy

Engineering

Entertainment. See also Leisure and recreation

Environment

Exercise

Family

Farming. See also Agriculture

Fashion

Finance. See also Investment(s)

Firearms

Food. See also Nutrition

Gambling. See also Game(s)

Game(s). See also Gambling

Gardening

Gender

Genetics

Geography

Geology

Government

Health. See also Exercise; Medicine

Height(s)

Houses and housing

Insurance

Intelligence

Internet

Investment(s)

Landscaping

Language

Law(s)

Law enforcement

Leisure and recreation. See also Entertainment

Manufacturing

Marriage

**Math**

Media

Medicine. See also Drugs; Health; Pharmaceuticals

Military

Miscellaneous

Money. See also Finance; Investment(s)

Morality

Mortality

Motor vehicle(s). See also Transportation

Music

Nutrition. See also Food

Obstetrics. See also Pediatrics

Pediatrics. See also Obstetrics

Pets

Pharmaceuticals. See also Drugs; Medicine

Physics

Politics

Polls and surveys

Psychiatry

Psychology

Psychometrics

Reading

Religion

Research

Sex and sexuality

Society

Sports

Statistics

Temperature

Test(s)

Time

Transportation. See also Motor vehicle(s)

Travel

Weather

Weight(s)

Work. See also Business

Part 1 Getting the Information You Need

1 Data Collection

1.1 Introduction to the Practice of Statistics

Objectives

❶ Define Statistics and Statistical Thinking

❷ Explain the Process of Statistics

❸ Distinguish between Qualitative and Quantitative Variables

❹ Distinguish between Discrete and Continuous Variables

❺ Determine the Level of Measurement of a Variable

1.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

1.2 Observational Studies versus Designed Experiments

Objectives

❶ Distinguish between an Observational Study and an Experiment

❷ Explain the Various Types of Observational Studies

Census Data

Obtaining Data through Web Scraping

Downloading Data from the Web

1.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

1.3 Simple Random Sampling

Objective

❶ Obtain a Simple Random Sample

Obtaining a Simple Random Sample

1.3 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

1.4 Other Effective Sampling Methods

Objectives

❶ Obtain a Stratified Sample

❷ Obtain a Systematic Sample

❸ Obtain a Cluster Sample

Convenience Sampling

Multistage Sampling

Sample Size Considerations

Summary

1.4 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

1.5 Bias in Sampling

Objective

❶ Explain the Sources of Bias in Sampling

1.5 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

1.6 The Design of Experiments

Objectives

❶ Describe the Characteristics of an Experiment

➋ Explain the Steps in Designing an Experiment

➌ Explain the Completely Randomized Design

➍ Explain the Matched-Pairs Design

1.6 Assess Your Understanding

Vocabulary

Applying the Concepts

Explaining the Concepts

Chapter 1 Review

Summary

Vocabulary

Objectives

Review Exercises

Chapter Test

Part 2 Descriptive Statistics

2 Summarizing Data in Tables and Graphs

2.1 Organizing Qualitative Data

Objectives

❶ Organize Qualitative Data in Tables

❷ Construct Bar Graphs

Side-by-Side Bar Graphs

Horizontal Bars

➌ Construct Pie Charts

2.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

2.2 Organizing Quantitative Data

Objectives

❶ Organize Discrete Data in Tables

❷ Construct Histograms of Discrete Data

❸ Organize Continuous Data in Tables

❹ Construct Histograms of Continuous Data

❺ Draw Dot Plots

❻ Identify the Shape of a Distribution

❼ Draw Time-Series Graphs

2.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

2.3 Graphical Misrepresentations of Data

Objective

➊ Describe What Can Make a Graph Misleading or Deceptive

2.3 Assess Your Understanding

Applying the Concepts

Chapter 2 Review

Summary

Vocabulary

Objectives

Review Exercises

Chapter Test

3 Numerically Summarizing Data

3.1 Measures of Central Tendency

Objectives

❶ Determine the Arithmetic Mean of a Variable from Raw Data

❷ Determine the Median of a Variable from Raw Data

❸ Explain What It Means for a Statistic to Be Resistant

❹ Determine the Mode of a Variable from Raw Data

3.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

3.2 Measures of Dispersion

Objectives

❶Determine the Range of a Variable from Raw Data

❷Determine the Standard Deviation of a Variable from Raw Data

Interpretations of the Standard Deviation

❸ Determine the Variance of a Variable from Raw Data

A Final Thought on Variance and Standard Deviation

❹ Use the Empirical Rule to Describe Data That Are Bell Shaped

❺ Use Chebyshev’s Inequality to Describe Any Set of Data

3.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

3.3 Measures of Central Tendency and Dispersion from Grouped Data

Objectives

❶ Approximate the Mean of a Variable from Grouped Data

❷ Compute the Weighted Mean

➌ Approximate the Standard Deviation of a Variable from Grouped Data

3.3 Assess Your Understanding

Applying the Concepts

3.4 Measures of Position and Outliers

Objectives

❶ Determine and Interpret z-Scores

❷ Interpret Percentiles

❸ Determine and Interpret Quartiles

❹ Determine and Interpret the Interquartile Range

❺ Check a Set of Data for Outliers

3.4 Assess Your Understanding

Vocabulary

Applying the Concepts

Explaining the Concepts

3.5 The Five-Number Summary and Boxplots

Objectives

❶ Compute the Five-Number Summary

❷ Draw and Interpret Boxplots

Using a Boxplot and Quartiles to Describe the Shape of a Distribution

3.5 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

Chapter 3 Review

Summary

Vocabulary

Formulas

Objectives

Review Exercises

Chapter Test

4 Describing the Relation between Two Variables

4.1 Scatter Diagrams and Correlation

Objectives

➊ Draw and Interpret Scatter Diagrams

➋ Describe the Properties of the Linear Correlation Coefficient

➌ Compute and Interpret the Linear Correlation Coefficient

➍ Determine Whether a Linear Relation Exists between Two Variables

➎ Explain the Difference between Correlation and Causation

4.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

4.2 Least-Squares Regression

Objectives

➊ Find the Least-Squares Regression Line and Use the Line to Make Predictions

➋ Interpret the Slope and the y-Intercept of the Least-Squares Regression Line

➌ Compute the Sum of Squared Residuals

4.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

4.3 The Coefficient of Determination

Objective

❶ Compute and Interpret the Coefficient of Determination

4.3 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

4.4 Contingency Tables and Association

Objectives

❶ Compute the Marginal Distribution of a Variable

❷ Use the Conditional Distribution to Identify Association among Categorical Data

❸ Explain Simpson’s Paradox

4.4 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Chapter 4 Review

Summary

Vocabulary

Formulas

Objectives

Review Exercises

Chapter Test

Part 3 Probability and Probability Distributions

5 Probability

5.1 Probability Rules

Objectives

❶ Understand Random Processes and the Law of Large Numbers

➋ Apply the Rules of Probabilities

➌ Compute and Interpret Probabilities Using the Empirical Method

❹ Compute and Interpret Probabilities Using the Classical Method

❺ Recognize and Interpret Subjective Probabilities

5.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

5.2 The Addition Rule and Complements

Objectives

❶ Use the Addition Rule for Disjoint Events

❷ Use the General Addition Rule

❸ Compute the Probability of an Event Using the Complement Rule

5.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

5.3 Independence and the Multiplication Rule

Objectives

❶ Identify Independent Events

❷ Use the Multiplication Rule for Independent Events

❸ Compute At-Least Probabilities

5.3 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

5.4 Conditional Probability and the General Multiplication Rule

Objectives

❶ Compute Conditional Probabilities

❷ Compute Probabilities Using the General Multiplication Rule

5.4 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

5.5 Counting Techniques

Objectives

❶ Solve Counting Problems Using the Multiplication Rule

❷ Solve Counting Problems Using Permutations

❸ Solve Counting Problems Using Combinations

❹Solve Counting Problems Involving Permutations with Nondistinct Items

Summary

❺ Compute Probabilities Involving Permutations and Combinations

5.5 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

5.6 Simulating Probability Experiments

Objective

❶ Use Simulation to Approximate Probabilities

5.6 Assess Your Understanding

Applying the Concepts

5.7 Putting It Together: Which Method Do I Use?

Objectives

❶ Determine the Appropriate Probability Rule to Use

❷ Determine the Appropriate Counting Technique to Use

5.7 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Chapter 5 Review

Summary

Vocabulary

Formulas

Objectives

Review Exercises

Chapter Test

6 Discrete Probability Distributions

6.1 Discrete Random Variables

Objectives

❶ Distinguish between Discrete and Continuous Random Variables

❷ Identify Discrete Probability Distributions

❸ Graph Discrete Probability Distributions

❹ Compute and Interpret the Mean of a Discrete Random Variable

❺ Interpret the Mean of a Discrete Random Variable as an Expected Value

❻ Compute the Standard Deviation of a Discrete Random Variable

6.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

6.2 The Binomial Probability Distribution

Objectives

❶ Determine Whether a Probability Experiment Is a Binomial Experiment

❷ Compute Probabilities of Binomial Experiments

❸ Compute the Mean and Standard Deviation of a Binomial Random Variable

❹ Graph a Binomial Probability Distribution

6.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

Chapter 6 Review

Summary

Vocabulary

Formulas

Objectives

Review Exercises

Chapter Test

7 The Normal Probability Distribution

7.1 Properties of the Normal Distribution

Objectives

❶ Use the Uniform Probability Distribution

❷ Graph a Normal Curve

❸ State the Properties of the Normal Curve

❹Explain the Role of Area in the Normal Density Function

7.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

7.2 Applications of the Normal Distribution

Objectives

❶ Find and Interpret the Area under a Normal Curve

Some Cautionary Thoughts

❷ Find the Value of a Normal Random Variable

Important Notation for the Future

7.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

7.3 Assessing Normality

Objective

❶ Use Normal Probability Plots to Assess Normality

7.3 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

7.4 The Normal Approximation to the Binomial Probability Distribution

Objective

❶ Approximate Binomial Probabilities Using the Normal Distribution

7.4 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Chapter 7 Review

Summary

Vocabulary

Formulas

Objectives

Review Exercises

Chapter Test

Part 4 Inference: From Samples to Population

8 Sampling Distributions

8.1 Distribution of the Sample Mean

Objectives

❶ Describe the Distribution of the Sample Mean: Normal Population

➋ Describe the Distribution of the Sample Mean: Nonnormal Population

8.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

8.2 Distribution of the Sample Proportion

Objectives

❶ Describe the Sampling Distribution of a Sample Proportion

❷ Compute Probabilities of a Sample Proportion

8.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Chapter 8 Review

Summary

Vocabulary

Formulas

Objectives

Review Exercises

Chapter Test

9 Estimating the Value of a Parameter

9.1 Estimating a Population Proportion

Objectives

❶ Obtain a Point Estimate for the Population Proportion

❷ Construct and Interpret a Confidence Interval for the Population Proportion

❸ Determine the Sample Size Necessary for Estimating a Population Proportion within a Specified Margin of Error

9.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

9.2 Estimating a Population Mean

Objectives

❶ Obtain a Point Estimate for the Population Mean

❷ State Properties of Student’s t-distribution

❸ Determine t-Values

❹ Construct and Interpret a Confidence Interval for a Population Mean

❺ Determine the Sample Size Needed to Estimate a Population Mean within a Specified Margin of Error

9.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

9.3 Putting It Together: Which Method Do I Use?

Objective

❶ Determine the Appropriate Confidence Interval to Construct

9.3 Assess Your Understanding

Skill Building

Applying the Concepts

9.4 Estimating a Population Standard Deviation

Objectives

❶ Find Critical Values for the Chi-Square Distribution

❷ Construct and Interpret Confidence Intervals for the Population Variance and Standard Deviation

9.4 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

9.5 Estimating with Bootstrapping

Objective

❶ Estimate a Parameter Using the Bootstrap Method

Bootstrapping to Estimate a Population Proportion

Some Final Thoughts

9.5 Assess Your Understanding

Vocabulary

Skill Building

Applying the Concepts

Chapter 9 Review

Summary

Vocabulary

Formulas

Objectives

Review Exercises

Chapter Test

10 Hypothesis Tests Regarding a Parameter

10.1 The Language of Hypothesis Testing

Objectives

❶ Determine the Null and Alternative Hypotheses

❷ Explain Type I and Type II Errors

The Probability of Making a Type I or Type II Error

❸ State Conclusions to Hypothesis Tests

10.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

10.2 Hypothesis Tests for a Population Proportion

Objectives

❶ Explain the Logic of Hypothesis Testing

❷ Test Hypotheses about a Population Proportion

❸ Test Hypotheses about a Population Proportion Using the Binomial Probability Distribution

10.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

10.2A Using Simulation to Perform Hypothesis Tests on a Population Proportion

Objectives

❶ Explain the Logic of the Simulation Method

❷ Test Hypotheses about a Population Proportion Using the Simulation Method

10.2A Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

10.2B Hypothesis Tests for a Population Proportion Using the Normal Model

Objectives

❶ Explain the Logic of Hypothesis Testing Using the Normal Model

❷ Test Hypotheses about a Population Proportion Using the Normal Model

10.2B Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

10.3 Hypothesis Tests for a Population Mean

Objectives

❶ Test Hypotheses about a Mean

❷ Understand the Difference between Statistical Significance and Practical Significance

10.3 Assess Your Understanding

Skill Building

Applying the Concepts

Explaining the Concepts

10.3A Using Simulation and the Bootstrap to Perform Hypothesis Tests on a Population Mean

Objectives

❶ Test Hypotheses about a Population Mean Using the Simulation Method

❷ Test Hypotheses about a Population Mean Using the Bootstrap Method

10.3A Assess Your Understanding

Applying the Concepts

10.4 Putting It Together: Which Method Do I Use?

Objective

❶ Determine the Appropriate Hypothesis Test to Perform

10.4 Assess Your Understanding

Skill Building

Applying the Concepts

10.5 Hypothesis Tests for a Population Standard Deviation

Objective

❶ Test Hypotheses about a Population Standard Deviation

10.5 Assess Your Understanding

Skill Building

Applying the Concepts

Chapter 10 Review

Summary

Vocabulary

Formulas

Objectives

Review Exercises

Chapter Test

11 Inference on Two Population Parameters

11.1 Inference about Two Population Proportions

Objectives

❶ Distinguish between Independent and Dependent Sampling

❷Test Hypotheses Regarding Two Proportions from Independent Samples

❸ Construct and Interpret Confidence Intervals for the Difference between Two Population Proportions

❹Determine the Sample Size Necessary for Estimating the Difference between Two Population Proportions

11.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

11.1A Using Randomization Techniques to Compare Two Proportions

Objective

❶ Use Randomization to Compare Two Population Proportions

StatCrunch

Urn Applet

Randomization Applet

11.1A Assess Your Understanding

Skill Building

Applying the Concepts

11.2 Inference about Two Means: Dependent Samples

Objectives

❶Test Hypotheses for a Population Mean from Matched-Pairs Data

❷ Construct and Interpret Confidence Intervals about the Population Mean Difference of Matched-Pairs Data

11.2 Assess Your Understanding

Skill Building

Applying the Concepts

11.2A Using Bootstrapping to Conduct Inference on Two Dependent Means

Objective

❶ Test Hypotheses about Two Dependent Means Using the Bootstrap Method

Minitab

Bootstrap

StatCrunch

Bootstrap

11.2A Assess Your Understanding

Applying the Concepts

11.3 Inference about Two Means: Independent Samples

Objectives

➊ Test Hypotheses Regarding the Difference of Two Independent Means

➋ Construct and Interpret Confidence Intervals Regarding the Difference of Two Independent Means

What about the Pooled Two-Sample t-Tests?

11.3 Assess Your Understanding

Skill Building*

Applying the Concepts

Explaining the Concepts

11.3A Using Randomization Techniques to Compare Two Independent Means

Objective

❶ Use Randomization to Compare Two Population Means

StatCrunch

Randomization Applet

11.3A Assess Your Understanding

Applying the Concepts

11.4 Putting It Together: Which Method Do I Use?

Objective

➊ Determine the Appropriate Hypothesis Test to Perform

11.4 Assess Your Understanding

Skill Building

Applying the Concepts

Explaining the Concepts

11.5 Inference about Two Population Standard Deviations

Objectives

❶ Find Critical Values of the F-distribution

❷ Test Hypotheses Regarding Two Population Standard Deviations

11.5 Assess Your Understanding

Skill Building

Applying the Concepts

Chapter 11 Review

Summary

Vocabulary

Formulas

Objectives

Review Exercises

Chapter Test

12 Additional Inferential Methods

12.1 Goodness-of-Fit Test

Objectives

❶ Find Critical Values for the Chi-Square Distribution

❷ Perform a Goodness-of-Fit Test

12.1 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

12.2 Tests for Independence and the Homogeneity of Proportions

Objectives

❶ Perform a Test for Independence

❷ Perform a Test for Homogeneity of Proportions

If Model Requirements Fail

12.2 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

12.3 Testing the Significance of the Least-Squares Regression Model

Objectives

❶ State the Requirements of the Least-Squares Regression Model

❷ Compute the Standard Error of the Estimate

❸ Verify That the Residuals Are Normally Distributed

❹ Conduct Inference on the Slope of the Least-Squares Regression Model

❺ Construct a Confidence Interval about the Slope of the Least-Squares Regression Model

Inference on the Linear Correlation Coefficient

12.3 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

12.3A Using Randomization Techniques on the Slope of the Least-Squares Regression Line

Objective

❶ Use Randomization to Test the Significance of the Slope of the Least-Squares Regression Model

12.3A Assess Your Understanding

Applying the Concepts

12.4 Confidence and Prediction Intervals

Objectives

❶ Construct Confidence Intervals for a Mean Response

❷ Construct Prediction Intervals for an Individual Response

12.4 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Chapter 12 Review

Summary

Vocabulary

Formulas

Standard Error of the Estimate

Objectives

Review Exercises

Chapter Test

Credits

Cover Image Credit:

Chapter 1: Image Credits

Chapter 1: Text Credits

Chapter 2: Image Credits

Chapter 2: Text Credits

Chapter 3: Image Credits

Chapter 3: Text Credits

Chapter 4: Image Credits

Chapter 4: Text Credits

Chapter 5: Image Credits

Chapter 5: Text Credits

Chapter 6: Image Credits

Chapter 6: Text Credits

Chapter 7: Image Credits

Chapter 7: Text Credits

Chapter 8: Image Credits

Chapter 8: Text Credits

Chapter 9: Image Credits

Chapter 9: Text Credits

Chapter 10: Image Credits

Chapter 10: Text Credits

Chapter 11: Image Credits

Chapter 11: Text Credits

Chapter 12: Image Credits

Chapter 12: Text Credits

Appendix A Tables

Appendix B

B.1 Lines

Objectives

❶ Calculate and Interpret the Slope of a Line

❷ Graph Lines, Given a Point and the Slope

❸ Use the Point–Slope Form of a Line; Identify Horizontal Lines

❹ Find the Equation of a Line, Given Two Points

❺ Identify the Slope and y-Intercept of a Line from Its Equation

B.1 Assess Your Understanding

B.2 Inference about Two Population Proportions: Dependent Samples

Objective

❶ Test Hypotheses Regarding Two Proportions from Dependent Samples

TI-83/84 Plus

Minitab

StatCrunch

B.2 Assess Your Understanding

Skill Building

Applying the Concepts

B.3 Comparing Three or More Means (One-Way Analysis of Variance)

Objectives

❶ Verify the Requirements to Perform a One-Way ANOVA

❷ Test a Hypothesis Regarding Three or More Means Using One-Way ANOVA

B.3 Assess Your Understanding

Vocabulary and Skill Building

Applying the Concepts

Explaining the Concepts

Answers

Chapter 1 Data Collection

1.1 Assess Your Understanding (page 11)

1.2 Assess Your Understanding (page 20)

1.3 Assess Your Understanding (page 28)

1.4 Assess Your Understanding (page 36)

1.5 Assess Your Understanding (page 42)

1.6 Assess Your Understanding (page 50)

Chapter 1 Review Exercises (page 56)

Chapter 1 Test (page 59)

Chapter 2 Organizing and Summarizing Data

2.1 Assess Your Understanding (page 70)

2.2 Assess Your Understanding (page 86)

2.3 Assess Your Understanding (page 98)

Chapter 2 Review Exercises (page 101)

Chapter 2 Test (page 104)

Chapter 3 Numerically Summarizing Data

3.1 Assess Your Understanding (page 116)

3.2 Assess Your Understanding (page 132)

3.3 Assess Your Understanding (page 143)

3.4 Assess Your Understanding (page 152)

3.5 Assess Your Understanding (page 160)

Chapter 3 Review Exercises (page 166)

Chapter 3 Test (page 167)

Chapter 4 Describing the Relation between Two Variables

4.1 Assess Your Understanding (page 180)

4.2 Assess Your Understanding (page 195)

4.3 Assess Your Understanding (page 204)

4.4 Assess Your Understanding (page 215)

Chapter 4 Review Exercises (page 218)

Chapter 4 Test (page 222)

Chapter 5 Probability

5.1 Assess Your Understanding (page 236)

5.2 Assess Your Understanding (page 249)

5.3 Assess Your Understanding (page 257)

5.4 Assess Your Understanding (page 266)

5.5 Assess Your Understanding (page 279)

5.6 Assess Your Understanding (page 286)

5.7 Assess Your Understanding (page 291)

Chapter 5 Review Exercises (page 295)

Chapter 5 Test (page 297)

Chapter 6 Discrete Probability Distributions

6.1 Assess Your Understanding (page 308)

6.2 Assess Your Understanding (page 324)

Chapter 6 Review Exercises (page 329)

Chapter 6 Test (page 330)

Chapter 7 The Normal Probability Distribution

7.1 Assess Your Understanding (page 339)

7.2 Assess Your Understanding (page 351)

7.3 Assess Your Understanding (page 358)

7.4 Assess Your Understanding (page 363)

Chapter 7 Review Exercises (page 365)

Chapter 7 Test (page 367)

Chapter 8 Sampling Distributions

8.1 Assess Your Understanding (page 379)

8.2 Assess Your Understanding (page 389)

Chapter 8 Review Exercises (page 392)

Chapter 8 Test (page 393)

Chapter 9 Estimating the Value of a Parameter

9.1 Assess Your Understanding (page 406)

9.2 Assess Your Understanding (page 419)

9.3 Assess Your Understanding (page 426)

9.4 Assess Your Understanding (page 9.4-5)

9.5 Assess Your Understanding (page 9.5-11)

Chapter 9 Review Exercises (page 430)

Chapter 9 Test (page 432)

Chapter 10 Hypothesis Tests Regarding a Parameter

10.1 Assess Your Understanding (page 441)

10.2 Assess Your Understanding (page 454)

10.2A Assess Your Understanding (page 10.2AB-13)

10.2B Assess Your Understanding (page 10.2AB-22)

10.3 Assess Your Understanding (page 465)

10.3A Assess Your Understanding (page 10.3A-8)

10.4 Assess Your Understanding (page 470)

10.5 Assess Your Understanding (page 10.5-4)

Chapter 10 Review Exercises (page 474)

Chapter 10 Test (page 475)

Chapter 11 Inferences on Two Population Parameters

11.1 Assess Your Understanding (page 487)

11.1A Assess Your Understanding (page 11.1A-7)

11.2 Assess Your Understanding (page 497)

11.2A Assess Your Understanding (page 11.2A-4)

11.3 Assess Your Understanding (page 508)

11.3A Assess Your Understanding (page 11.3A-7)

11.4 Assess Your Understanding (page 514)

11.5 Assess Your Understanding (page 11.5-8)

Chapter 11 Review Exercises (page 519)

Chapter 11 Test (page 520)

Chapter 12 Inference on Categorical Data

12.1 Assess Your Understanding (page 533)

12.2 Assess Your Understanding (page 549)

12.3 Assess Your Understanding (page 565)

12.3A Assess Your Understanding

12.4 Assess Your Understanding (page 572)

Chapter 12 Review Exercises (page 576)

Chapter 12 Test (page 579)

Appendix B

B.1 Assess Your Understanding (page B-5)

B.2 Assess Your Understanding (page B-10)

B.3 Assess Your Understanding (page B-23)

Subject Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

Tables and Formulas for Sullivan, Fundamentals of Statistics 6e © 2022 Pearson Education, Inc

Integrated Review Materials to Accompany Sullivan Statistics

Integrated Review Materials to Accompany Sullivan Statistics

Contents

Preface to Instructors for Integrated Review

The Learning Path

The Structure of the Integrated Review Text

Preface to Students for Integrated Review

What to Do the First Week of the Semester

What to Do Before, During, and After Class

How to Use the Resources

How to Prepare for an Exam

Chapter 1 Integrated Review: Getting Ready for Organizing and Summarizing Data

1.IR1 Fundamentals of Fractions

Objectives

❶ Identify Terms Used with Fractions

❷ Find Equivalent Fractions

❸ Write a Fraction in Lowest Terms

Determine Whether Two Fractions Are Equivalent

1.IR1 Exercises

Building Skills

Applying the Concepts

1.IR2 Fundamentals of Decimals

Objectives

❶ Understand the Place Value of a Decimal Number

❷ Read and Write Decimals in Words

❸ Write Decimals as Fractions

❹ Round Decimals to a Given Place Value

1.IR2 Exercises

Building Skills

Applying the Concepts

1.IR3 The Real Number Line

Objectives

❶ Classify Numbers

❷ Plot Points on a Real Number Line

❸ Use Inequalities to Order Real Numbers

Compare Decimals

❹ Compute the Absolute Value of a Real Number

1.IR3 Exercises

Building Skills

1.IR4 Multiplying and Dividing Fractions

Objectives

❶ Multiply Fractions

❷ Divide Fractions

1.IR4 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Explaining the Concepts

1.IR5 Adding and Subtracting Fractions

Objectives

❶ Add or Subtract Fractions with Like Denominators

❷ Find the Least Common Denominator and Equivalent Fractions

❸ Add or Subtract Fractions with Unlike Denominators

1.IR5 Exercises

Building Skills

Applying the Concepts

Explaining the Concepts

1.IR6 Operations on Decimals

Objectives

❶ Add or Subtract Decimals

Adding Decimals with the Same Sign

Subtract Decimals with the Same Sign

Adding Decimals with Different Signs

Subtract Decimals with Different Signs

❷ Multiply Decimals

Multiply Decimals by Powers of 10

❸ Divide a Decimal by a Whole Number

❹ Divide a Decimal by a Decimal

❺ Divide Decimals by Powers of 10

❻ Convert a Fraction to a Decimal

1.IR6 Exercises

Skill Building

Applying the Concepts

1.IR7 Fundamentals of Percent Notation

Objectives

❶ Define Percent

❷ Convert Percents to Decimals and Decimals to Percents

Percents to Decimals

Decimals to Percents

❸ Convert Percents to Fractions and Fractions to Percents

Percent to Fraction

Fraction to Decimal to Percent

1.IR7 Exercises

Building Skills

Mixed Practice

Applying the Concepts

1.IR8 Language Used in Modeling

Objectives

❶ Use Models That Involve Addition and Subtraction

❷ Use Models That Involve Multiplication

❸ Use Models That Involve Division

1.IR8 Exercises

Applying the Concepts

Chapter 2 Integrated Review: Getting Ready for Numerically Summarizing Data

2.IR1 Exponents and the Order of Operations

Objectives

1 Evaluate Exponential Expressions

2 Apply the Rules for Order of Operations

Parentheses

The Division Bar

Multiple Grouping Symbols

2.IR1 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Extending the Concepts

Explaining the Concepts

2.IR2 Square Roots

Objectives

1 Evaluate Square Roots

2 Determine Whether a Square Root Is Rational, Irrational, or Not a Real Number

2.IR2 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Explaining the Concepts

2.IR3 Simplifying Algebraic Expressions; Summation Notation

Objectives

1 Evaluate Algebraic Expressions

2 Identify Like Terms and Unlike Terms

3 Use the Distributive Property

4 Simplify Algebraic Expressions by Combining Like Terms

5 Use Summation Notation

2.IR3 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Extending the Concepts

Explaining the Concepts

2.IR4 Solving Linear Equations

Objectives

1 Determine Whether a Number Is a Solution to an Equation

2 Solve Linear Equations

Linear Equations with Fractions or Decimals

3 Determine Whether an Equation Is a Conditional Equation, an Identity, or a Contradiction

2.IR4 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Explaining the Concepts

2.IR5 Using Linear Equations to Solve Problems

Objectives

1 Translate English Sentences into Mathematical Statements

An Introduction to Problem Solving and Mathematical Models

2 Model and Solve Direct Translation Problems

3 Solve for a Variable in a Formula

2.IR5 Exercises

Building Skills

Applying the Concepts

Explaining the Concepts

Chapter 3 Integrated Review: Getting Ready for Least-Squares Regression

3.IR1 The Rectangular Coordinate System and Equations in Two Variables

Objectives

1 Plot Points in the Rectangular Coordinate System

2 Determine Whether an Ordered Pair Satisfies an Equation

3 Create a Table of Values That Satisfy an Equation

3.IR1 Exercises

Building Skills

Applying the Concepts

Extending the Concepts

Explaining the Concepts

The Graphing Calculator

3.IR2 Graphing Equations in Two Variables

Objectives

1 Graph a Line by Plotting Points

2 Graph a Line Using Intercepts

3 Graph Vertical and Horizontal Lines

3.IR2 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Extending the Concepts

Explaining the Concepts

The Graphing Calculator

3.IR3 Slope

Objectives

1 Find the Slope of a Line Given Two Points

2 Find the Slope of Vertical and Horizontal Lines

3 Graph a Line Using Its Slope and a Point on the Line

4 Work with Applications of Slope

3.IR3 Exercises

Building Skills

Applying the Concepts

Extending the Concepts

Explaining the Concepts

3.IR4 Slope-Intercept Form of a Line

Objectives

1 Use the Slope-Intercept Form to Identify the Slope and y-Intercept of a Line

2 Graph a Line Whose Equation Is in Slope-Intercept Form

3 Graph a Line Whose Equation Is in the Form Ax+By=C

4 Find the Equation of a Line Given Its Slope and y-Intercept

5 Work with Linear Models in Slope-Intercept Form

3.IR4 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Extending the Concepts

Explaining the Concepts

3.IR5 Point-Slope Form of a Line

Objectives

1 Find the Equation of a Line Given a Point and a Slope

2 Find the Equation of a Line Given Two Points

3 Build Linear Models from Data

Scatter Diagrams

Recognizing the Type of Relation Between Two Variables

Fitting a Line to Data

3.IR5 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Chapter 4 Integrated Review: Getting Ready for Probability

4.IR1 Scientific Notation

Objectives

❶ Convert Decimal Notation to Scientific Notation

❷ Convert Scientific Notation to Decimal Notation

❸ Use Scientific Notation to Multiply and Divide

4.IR1 Exercises

Building Skills

Applying the Concepts

Extending the Concepts

Explaining the Concepts

4.IR2 Interval Notation; Intersection and Union of Sets

Objectives

❶ Represent Inequalities Using the Real Number Line and Interval Notation

❷ Determine the Intersection or Union of Two Sets

4.IR2 Exercises

Building Skills

4.IR3 Linear Inequalities

Objectives

❶ Solve Linear Inequalities Using Properties of Inequalities

❷ Model Inequality Problems

4.IR3 Exercises

Mixed Practice

Applying the Concepts

Extending the Concepts

Explaining the Concepts

Chapter 6 Integrated Review: Getting Ready for the Normal Probability Distribution

6.IR1 Perimeter and Area of Polygons and Circles

Objectives

1 Find the Perimeter and Area of a Rectangle and a Square

The Perimeter and Area of a Square

2 Find the Perimeter and Area of a Parallelogram and a Trapezoid

3 Find the Perimeter and Area of a Triangle

4 Find the Circumference and Area of a Circle

6.IR1 Exercises

Applying the Concepts

Extending the Concepts

Explaining the Concepts

Chapter 8 Integrated Review: Getting Ready for Confidence Intervals

8.IR1 Compound Inequalities

Objectives

1 Solve Compound Inequalities Involving “and”

2 Solve Compound Inequalities Involving “or”

3 Solve Problems Using Compound Inequalities

8.IR1 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Extending the Concepts

8.IR2 Absolute Value Equations and Inequalities

Objectives

1 Solve Absolute Value Equations

2 Solve Absolute Value Inequalities Involving < or ≤

3 Solve Absolute Value Inequalities Involving > or ≥

4 Solve Applied Problems Involving Absolute Value Inequalities

8.IR2 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Extending the Concepts

Explaining the Concepts

Appendix A Functions, Exponential Functions, Logarithmic Functions

A.IR1 Relations

Objectives

Are You Prepared for This Section?

Prepared?…Answers

❶ Understand Relations

❷ Find the Domain and the Range of a Relation

❸ Graph a Relation Defined by an Equation

A.IR1 Exercises

Building Skills

Applying the Concepts

Extending the Concepts

Explaining the Concepts

A.IR2 An Introduction to Functions

Objectives

Are You Prepared for This Section?

Prepared?…Answers

❶ Determine Whether a Relation Expressed as a Map or Ordered Pairs Represents a Function

❷ Determine Whether a Relation Expressed as an Equation Represents a Function

❸ Determine Whether a Relation Expressed as a Graph Represents a Function

❹ Find the Value of a Function

❺ Find the Domain of a Function

❻ Work with Applications of Functions

A.IR2 Exercises

Building Skills

Applying the Concepts

Extending the Concepts

Explaining the Concepts

Technology Exercises

A.IR3 Functions and Their Graphs

Objectives

Are You Prepared for This Section?

Prepared?… Answers

❶ Graph a Function

❷ Obtain Information from the Graph of a Function

The Zero of a Function

❸ Know Properties and Graphs of Basic Functions

❹ Interpret Graphs of Functions

A.IR3 Exercises

Building Skills

Applying the Concepts

Extending the Concepts

Explaining the Concepts

A.IR4 Linear Functions and Models

Objectives

Are You Prepared for This Section?

Prepared?…Answers

❶ Graph Linear Functions

❷ Find the Zero of a Linear Function

Applications of Linear Functions

❸ Build Linear Models from Verbal Descriptions

A.IR4 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Extending the Concepts

Getting Ready for Exponential and Logarithmic Functions Laws of Exponents

Objectives

❶ Simplify Exponential Expressions Using the Product Rule

❷ Simplify Exponential Expressions Using the Quotient Rule

❸ Evaluate Exponential Expressions with a Zero or Negative Exponent

❹ Simplify Exponential Expressions Using the Power Rule

❺ Simplify Exponential Expressions Containing Products or Quotients

Getting Ready Exercises

Mixed Practice

Applying the Concepts

Explaining the Concepts

A.IR5 Exponential Functions

Objectives

Are You Prepared for This Section?

❶ Evaluate Exponential Expressions

❷ Graph Exponential Functions

❸ Define the Number e

❹ Solve Exponential Equations

❺ Use Exponential Models That Describe Our World

A.IR5 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Extending the Concepts

Explaining the Concepts

A.IR6 Logarithmic Functions

Objectives

Are You Prepared for This Section?

❶ Change Exponential Equations to Logarithmic Equations

Prepared?…Answers

❷ Change Logarithmic Equations to Exponential Equations

❸ Evaluate Logarithmic Functions

❹ Determine the Domain of a Logarithmic Function

❺ Graph Logarithmic Functions

❻ Work with Natural and Common Logarithms

❼ Solve Logarithmic Equations

❽ Use Logarithmic Models That Describe Our World

A.IR6 Exercises

Building Skills

Mixed Practice

Applying the Concepts

Explaining the Concepts

A.IR7 Properties of Logarithms

Objectives

Are You Prepared for This Section?

❶ Understand the Properties of Logarithms

Prepared?…Answers

❷ Write a Logarithmic Expression as a Sum or Difference of Logarithms

❸ Write a Logarithmic Expression as a Single Logarithm

❹ Evaluate a Logarithm Whose Base Is Neither 10 Nor e

A.IR7 Exercises

Building Skills

Applying the Concepts

Extending the Concepts

Explaining the Concepts

A.IR8 Exponential Equations

Objectives

Are You Prepared for This Section?

Prepared? … Answer

❶ Solve Exponential Equations

❷ Solve Equations Involving Exponential Models

A.IR8 Exercises

Building Skills

Applying the Concepts

Answers to Selected Exercises

Chapter 1 Integrated Review: Getting Ready for Organizing and Summarizing Data

Section 1.IR1 Fundamentals of Fractions

Section 1.IR2 Fundamentals of Decimals

Section 1.IR3 The Real Number Line

Section 1.IR4 Multiplying and Dividing Fractions

Section 1.IR5 Adding and Subtracting Fractions

Section 1.IR6 Operations on Decimals

Section 1.IR7 Fundamentals of Percent Notation

Section 1.IR8 Language Used In Modeling

Chapter 2 Integrated Review: Getting Ready for Numerically Summarizing Data

Section 2.IR1 Exponents and the Order of Operations

Section 2.IR2 Square Roots

Section 2.IR3 Simplifying Algebraic Expressions; Summation Notation

Section 2.IR4 Solving Linear Equations

Section 2.IR5 Using Linear Equations to Solve Problems

Chapter 3 Integrated Review: Getting Ready for Least-Squares Regression

Section 3.IR1 The Rectangular Coordinate System and Equations in Two Variables

Section 3.IR2 Graphing Equations in Two Variables

Section 3.IR3 Slope

Section 3.IR4 Slope-Intercept Form of a Line

Section 3.IR5 Point-Slope Form of a Line

Chapter 4 Integrated Review

Section 4.IR1 Scientific Notation

Section 4.IR2 Linear Inequalities in One Variable

Section 4.IR3 Solving Linear Inequalities in One Variable

Chapter 6 Integrated Review: Getting Ready for the Normal Probability Distribution

Section 6.IR1 Perimeter and Area of Polygons and Circles

Chapter 8 Integrated Review: Getting Ready for Confidence Intervals

Section 8.IR1 Compound Inequalities

Section 8.IR2 Absolute Value Equations and Inequalities

Appendix A Functions, Exponential Functions, Logarithmic Functions

Section A.IR1 Relations

Section A.IR2 An Introduction to Functions

Section A.IR3 Functions and Their Graphs

Section A.IR4 Linear Functions and Models

Getting Ready for Exponential and Logarithmic Functions

Section A.IR5 Exponential Functions

Section A.IR6 Logarithmic Functions

Section A.IR7 Properties of Logarithms

Section A.IR8 Exponential and Logarithmic Equations

**What makes us different?**

• Instant Download

• Always Competitive Pricing

• 100% Privacy

• FREE Sample Available

• 24-7 LIVE Customer Support

## Reviews

There are no reviews yet.