Beginning Statistics plus Integrated Review, 3rd Edition
0.1 How to Read a Math Textbook
0.2 Tips for Success in a Math Course
0.3 Tips for Improving Math Test Scores
0.4 Practice, Patience, and Persistence!
0.5 Note Taking
0.6 Do I Need a Math Tutor?
0.7 Tips for Improving Your Memory
0.8 Overcoming Anxiety
0.9 Online Resources
0.10 Preparing for a Final Math Exam
0.11 Managing Your Time Effectively
1.R.1 Problem Solving with Whole Numbers
- Examples
- Example 1: Application: Adding Whole Numbers
- Example 2: Application: Multiplying Whole Numbers
- Example 3: Application: Dividing Whole Numbers
- Example 4: Application: Calculating Loan Amounts
- Example 5: Application: Balancing a Checking Account
- Example 6: Application: Finding the Area of Rectangles
- Example 7: Calculating an Average
- Example 8: Application: Calculating an Average
- Example 9: Application: Calculating an Average
- Example 10: Application: Calculating an Average
1.R.2 Introduction to Decimal Numbers
- Examples
- Example 1: Reading and Writing Decimal Numbers
- Example 2: Reading and Writing Decimal Numbers
- Example 3: Reading and Writing Decimal Numbers
- Example 4: Comparing Decimal Numbers
- Example 5: Comparing Decimal Numbers
- Example 6: Comparing Decimal Numbers
- Example 7: Rounding Decimal Numbers
- Example 8: Rounding Decimal Numbers
1.R.3 Estimating and Order of Operations with Decimal Numbers
- Examples
- Example 1: Estimating Sums of Decimal Numbers
- Example 3: Estimating Products of Decimal Numbers
- Example 4: Estimating Quotients of Decimal Numbers
- Example 5: Application: Estimating with Decimal Numbers
- Example 6: Using the Order of Operations with Decimal Numbers
- Example 7: Using the Order of Operations with Decimal Numbers
1.R.4 Decimals and Percents
1.1 Getting Started
1.2 Data Classification
1.3 The Process of a Statistical Study
- Examples
- Example 1.3.1: Identifying Population and Variables
- Example 1.3.2: Identifying Observational Studies and Experiments
- Example 1.3.4: Classifying Studies as Cross-Sectional or Longitudinal
- Example 1.3.5: Classifying Studies as Meta-Analysis or Case Study
- Example 1.3.6: Identifying Parts of an Experiment
1.4 How to Critique a Published Study
2.R.1 Introduction to Fractions and Mixed Numbers
- Examples
- Example 1: Understanding Fractions
- Example 2: Understanding Fractions
- Example 3: Understanding Proper Fractions
- Example 4: Understanding Improper Fractions
- Example 5: Evaluating Fractions Involving 0
- Example 6: Graphing Proper Fractions
- Example 7: Graphing Improper Fractions
- Example 8: Identifying Types of Fractions and Mixed Numbers
- Example 9: Application: Understanding Mixed Numbers
- Example 10: Application: Understanding Mixed Numbers
- Example 11: Graphing Mixed Numbers
- Example 12: Changing Mixed Numbers to Improper Fractions
- Example 14: Changing Improper Fractions to Mixed Numbers
- Example 15: Changing Improper Fractions to Mixed Numbers
2.R.2 Decimal Numbers and Fractions
- Examples
- Example 1: Changing Decimal Numbers to Fractions
- Example 2: Changing Decimal Numbers to Fractions
- Example 3: Changing Decimal Numbers to Fractions
- Example 4: Changing Fractions to Decimal Numbers
- Example 5: Changing Fractions to Decimal Numbers
- Example 6: Changing Fractions to Decimal Numbers
- Example 7: Changing Fractions to Decimal Numbers
- Example 8: Simplifying Expressions with Decimals and Fractions
- Example 9: Comparing Decimal Numbers and Fractions
- Example 10: Application: Decimal and Fraction Expressions
2.R.3 Comparisons and Order of Operations with Fractions
2.R.4 Fractions and Percents
- Examples
- Example 1: Changing Fractions to Percents
- Example 2: Changing Fractions to Percents
- Example 3: Changing Mixed Numbers to Percents
- Example 5: Changing Fractions to Percents
- Example 5: Application: Changing Fractions to Percents
- Example 7: Changing Percents to Fractions
- Example 8: Changing Percents to Mixed Numbers
2.R.5 Reading Graphs
2.R.6 Constructing Graphs from Databases
2.R.7 The Real Number Line and Absolute Value
- Examples
- Example 1: Finding the Opposite of an Integer
- Example 2: Graphing Integers on a Number Line
- Example 3: Identifying Types of Numbers
- Example 4: Graphing Sets of Numbers
- Example 5: Graphing Sets of Numbers
- Example 6: Verifying Inequalities
- Example 7: Finding Absolute Values
- Example 8: Verifying Absolute Value Inequalities
- Example 9: Solving Absolute Value Equations
- Example 10: Solving Absolute Value Equations
- Example 11: Application: Solving Absolute Value Equations
3.R.1 Addition with Real Numbers
3.R.2 Subtraction with Real Numbers
3.R.3 Multiplication and Division with Real Numbers
- Examples
- Example 1: Multiplying Positive and Negative Real Numbers
- Example 2: Multiplying Two Negative Real Numbers
- Example 3: Multiplication by
- Example 4: Dividing Real Numbers
- Example 5: Dividing Fractions and Decimals
- Example 6: Application: Calculating an Average
- Example 7: Application: Calculating an Average
- Example 8: Application: Calculating an Average
3.R.4 Rules for Exponents
3.R.5 Simplifying and Evaluating Algebraic Expressions
3.R.6 Evaluating Radicals
4.R.1 Multiplication with Fractions
- Examples
- Example 1: Multiplying Fractions
- Example 2: Multiplying Fractions
- Example 3: Application: Multiplying Fractions
- Example 4: Recognizing the Properties of Multiplication
- Example 5: Reducing Fractions to Lowest Terms
- Example 6: Reducing Fractions to Lowest Terms
- Example 8: Application: Reducing Fractions to Lowest Terms
- Example 9: Multiplying and Reducing Using Prime Factors
- Example 10: Multiplying and Reducing Using Prime Factors
- Example 11: Multiplying and Reducing Using Prime Factors
- Example 13: Application: Multiplying and Reducing Fractions
- Example 14: Multiplying and Reducing Using the Division Method
- Example 15: Multiplying and Reducing Using the Division Method
- Example 16: Multiplying and Reducing Using the Division Method
- Example 17: Multiplying and Reducing Using the Division Method
4.R.2 Division with Fractions
- Examples
- Example 1: Finding Reciprocals
- Example 2: Finding Reciprocals
- Example 3: Dividing Fractions
- Example 4: Dividing Fractions
- Example 5: Dividing and Reducing Fractions
- Example 6: Dividing and Reducing Fractions
- Example 9: Finding a Missing Number
- Example 10: Application: Dividing Fractions
- Example 11: Application: Multiplying and Dividing Fractions
4.R.3 Least Common Multiple (LCM)
- Examples
- Example 1: Finding the Least Common Multiple (LCM)
- Example 2: Finding the Least Common Multiple (LCM)
- Example 4: Finding the Least Common Multiple (LCM)
- Example 5: Finding the Least Common Multiple (LCM)
- Example 6: Finding the Least Common Multiple (LCM)
- Example 7: Finding the Least Common Multiple (LCM)
- Example 9: Application: Finding the LCM
- Example 10: Finding Equivalent Fractions
- Example 11: Finding Equivalent Fractions
4.R.4 Addition and Subtraction with Fractions
- Examples
- Example 1: Adding Fractions with the Same Denominator
- Example 2: Finding the Least Common Denominator (LCD)
- Example 3: Adding Fractions with Different Denominators
- Example 4: Adding Fractions with Different Denominators
- Example 5: Adding Three Fractions with Different Denominators
- Example 6: Application: Adding Fractions
- Example 7: Application: Adding Fractions
- Example 8: Subtracting Fractions with the Same Denominator
- Example 9: Subtracting Fractions with Different Denominators
- Example 10: Subtracting Fractions with Different Denominators
- Example 11: Subtracting Fractions with Different Denominators
- Example 12: Application: Subtracting Fractions with Different Denominators
4.R.5 Union and Intersection of Sets
5.R.1 Order of Operations with Real Numbers
- Examples
- Example 1: Using the Order of Operations with Real Numbers
- Example 2: Using the Order of Operations with Real Numbers
- Example 3: Using the Order of Operations with Real Numbers
- Example 4: Using the Order of Operations with Real Numbers
- Example 6: Using the Order of Operations with Real Numbers
- Example 7: Using the Order of Operations with Real Numbers
5.R.2 Solving Linear Inequalities in One Variable
- Examples
- Example 1: Graphing Intervals
- Example 2: Graphing Intervals
- Example 3: Graphing Intervals
- Example 4: Graphing Intervals
- Example 5: Solving an Inequality and Graphing the Solution Set
- Example 6: Solving an Inequality and Graphing the Solution Set
- Example 7: Solving an Inequality and Graphing the Solution Set
- Example 8: Solving an Inequality and Graphing the Solution Set
- Example 9: Solving Linear Inequalities
- Example 10: Solving Linear Inequalities
- Example 11: Solving Linear Inequalities
- Example 13: Application: Using Inequalities
5.R.3 Compound Inequalities
6.R.1 Area
6.R.2 Solving Linear Equations: ax + b = c
- Examples
- Example 1: Solving Linear Equations of the Form ax + b = c
- Example 2: Solving Linear Equations of the Form ax + b = c
- Example 3: Solving Linear Equations Involving Decimals
- Example 4: Solving Linear Equations Involving Decimals
- Example 5: Solving Linear Equations Involving Fractions
- Example 6: Solving Linear Equations Involving Fractions
6.R.3 Working with Formulas
- Examples
- Example 1: Application: Evaluating Formulas
- Example 2: Evaluating Formulas
- Example 3: Application: Evaluating Formulas
- Example 4: Evaluating Formulas
- Example 5: Solving for Different Variables
- Example 6: Solving for Different Variables
- Example 7: Solving for Different Variables
- Example 8: Solving for Different Variables
8.R.1 Absolute Value Equations
8.R.2 Absolute Value Inequalities
- Examples
- Example 1: Solving Absolute Value Inequalities
- Example 2: Solving Absolute Value Inequalities
- Example 3: Solving Absolute Value Inequalities
- Example 4: Solving Absolute Value Inequalities
- Example 5: Solving Absolute Value Inequalities
- Example 6: Solving Absolute Value Inequalities
- Example 7: Solving Absolute Value Inequalities
- Example 8: Solving Absolute Value Inequalities
- Example 9: Solving Absolute Value Inequalities
8.1 Estimating Population Means (Sigma Known)
- Examples
- Example 8.1.1: Finding a Point Estimate for a Population Mean
- Example 8.1.2: Constructing a Confidence Interval with a Given Margin of Error
- Example 8.1.3: Finding the Margin of Error of a Confidence Interval for a Population Mean (σ Known)
- Example 8.1.7: Interpreting a Confidence Interval
- Example 8.1.8: Finding the Minimum Sample Size Needed for a Confidence Interval for a Population Mean
8.2 Student's t-Distribution
- Examples
- Example 8.2.1: Finding the Value of tα Using a Table
- Example 8.2.2: Finding the Value of t Given the Area to the Left
- Example 8.2.3: Finding the Value of t Given the Area to the Right
- Example 8.2.5: Finding the Value of t Given Area between and
- Example 8.2.6: Finding the Critical t-value for a Confidence Interval
8.3 Estimating Population Means (Sigma Unknown)
8.4 Estimating Population Proportions
8.5 Estimating Population Variances
- Examples
- Example 8.5.1: Finding Point Estimates for the Population Standard Deviation and Variance
- Example 8.5.2: Constructing a Confidence Interval for a Population Variance
- Example 8.5.3: Constructing a Confidence Interval for a Population Standard Deviation
- Example 8.5.4: Constructing a Confidence Interval for a Population Variance
- Example 8.5.5: Constructing a Confidence Interval for a Population Standard Deviation
- Example 8.5.6: Finding the Minimum Sample Size Needed for a Confidence Interval for a Population Standard Deviation
10.1 Fundamentals of Hypothesis Testing
10.2 Hypothesis Testing for Population Means (Sigma Known)
10.3 Hypothesis Testing for Population Means (Sigma Unknown)
10.4 Hypothesis Testing for Population Proportions
10.5 Hypothesis Testing for Population Variances
10.6 Chi-Square Test for Goodness of Fit
10.7 Chi-Square Test for Association
11.1 Hypothesis Testing: Two Population Means (Sigma Known, Independent Samples)
11.2 Hypothesis Testing: Two Population Means (Sigma Unknown, Independent Samples)
11.3 Hypothesis Testing: Two Population Means (Sigma Unknown, Dependent Samples)
11.4 Hypothesis Testing: Two Population Proportions
11.5 Hypothesis Testing: Two Population Variances
11.6 ANOVA (Analysis of Variance)
12.R.1 The Cartesian Coordinate System
12.R.2 Graphing Linear Equations in Two Variables
- Examples
- Example 1: Graphing a Linear Equation in Two Variables
- Example 2: Graphing a Linear Equation in Two Variables
- Example 3: Graphing a Linear Equation in Two Variables
- Example 4: Using Intercepts to Graph Linear Equations
- Example 5: Using Intercepts to Graph Linear Equations
- Example 7: Graphing Horizontal Lines
- Example 8: Graphing Vertical Lines
12.R.3 Slope-Intercept Form
- Examples
- Example 1: Finding the Slope of a Line
- Example 2: Finding the Slope of a Line
- Example 3: Finding the Slope of a Horizontal Line
- Example 4: Finding the Slope of a Vertical Line
- Example 5: Using Slope and the y‑Intercept to Graph a Line
- Example 6: Using Slope and the y-Intercept to Graph a Line
- Example 7: Finding Equations Given the Slope and the y‑Intercept
A.1 Constructing Samples
- Examples
- Example 1: Example A.1.1: Construct a Sample
- Example 2: Example A.1.2: Construct a Sample
- Example 3: Example A.1.3: Construct a Bimodal Sample
- Example 4: Example A.1.4: Adding a Sample Value
- Example 5: Example A.1.5: Adding a Sample Value
- Example 6: Example A.1.6: Adding a Sample Value
- Example 7: Example A.1.7: Construct a Sample