Description
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. Mike Sullivan 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.
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
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