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Chapter 1: Introduction and Graphical Displays
3

Introduction
3

Section 1-2 Frequency Distributions
17

Section 1-3: Dot Plots
29

Section 1-4: Bar Charts and Bar Graphs
30

Section 1-5: Histograms
34

Section 1-6: Frequency and Relative Frequency Polygons
39

Section 1-7: Ogives
43

Section 1-8: Stem-and-Leaf Plots or Displays
50

Section 1-9: Time Series Graphs
54

Section 1-10: Pie Graphs or Pie Charts
58

Section 1-11: Pareto Charts
61

Chapter Review
63

Chapter 2: Measures of Central Tendency
64

Introduction
64

Section 2-2: The Mean
65

Section 2-3: The Median
73

Section 2-4: The Mode
79

Section 2-5: Shapes of Distributions
91

Chapter Review
96

Chapter 3: Measures of Variability
97

Introduction
97

Section 3-2: The Range
98

Section 3-3: The Interquartile Range
103

Section 3-4: The Mean Absolute Deviation
108

Section 3-5: The Variance and Standard Deviation
114

Section 3-6: The Coefficient of Variation
122

Section 3-7: The Empirical Rule
127

Section 3-8: Measuring Skewness
139

Chapter Review
145

Chapter 4: Measures of Position
146

Introduction
146

Section 4-2: The z-Score or Standard Score
147

Section 4-3: Percentile
154

Section 4-4: Outliers
165

Section 4-5: Box Plots
170

Chapter Review
180

Chapter 5: Bivariate Data
181

Introduction
181

Section 5-2: Scatter Plots
181

Section 5-3: Looking for Patterns in the Data
184

Section 5-4: Linear Correlation
192

Section 5-5: Correlation and Causation
202

Section 5-6: Regression Analysis and the Least Squares Regression Line
204

Section 5-7: The Coefficient of Determination
215

Section 5-8: Residual Plots
217

Section 5-9: Outliers and Influential Points
230

Chapter Review
236

Chapter 6: Categorical Data
237

Introduction
237

Section 6-2: Joint and Marginal Distributions
238

Section 6-3: Conditional Distributions
244

Section 6-4: Independence in Categorical Variables
252

Section 6-5: Simpson's Paradox
257

Chapter Review
265

Chapter 7: Probability
266

Introduction
266

Section 7-2: Randomness and Uncertainty
267

Section 7-3: Random Experiments, Sample Space and Events
268

Section 7-4: Classical Probability
272

Section 7-5: Relative Frequency or Empirical Probability
275

Section 7-6: The Law of Large Numbers
277

Section 7-7: Subjective Probability
281

Section 7-8: Some Basic Rules of Probability
282

Section 7-9: Others Rules of Probability
283

Section 7-10: Conditional Probability
296

Section 7-11: Independence
299

Chapter Review
303

Chapter 8: Discrete Probability Distributions
304

Introduction
304

Section 8-2: Random Variables
305

Section 8-3: Probability Distributions for Discrete Random Variables
310

Section 8-4: Expected Value for a Discrete Random Variable
313

Section 8-5: Variance and Standard Deviation of a Discrete Random Variable
320

Section 8-6: Bernoulli Trials and the Binomial Probability Distribution
328

Section 8-7: The Geometric Probability Distribution
336

Section 8-8: The Poisson Probability Distribution
342

Section 8-9: The Hypergeometric Probability Distribution
347

Chapter Review
356

Chapter 9: The Normal Probability Distribution
357

Introduction
357

Section 9-2: The Normal Probability Distribution
359

Section 9-3: Properties of the Normal Distribution
363

Section 9-4: The Standard Normal Distribution
374

Section 9-5: Applications of the Normal Distribution
394

Section 9-6: The Normal Approximation to the Binomial Distribution
400

Chapter Review
414

Chapter 10: Sampling Distributions and the Central Limit Theorem
415

Introduction
415

Section 10-2: Sampling Distribution of a Sample Proportion
415

Section 10-3: Sampling Distribution of a Sample Mean
428

Section 10-4 Sampling Distribution for the Difference Between two Independent Sample Proportions
440

Section 10-5 Sampling Distribution for the Difference Between two Independent Sample Means
453

Chapter Review
466

Chapter 11: Confidence Intervals - Large Samples
467

Introduction
467

Section 11-2: Large Sample Confidence Interval for a Single Population Proportion
468

Section 11-3: Large Sample Confidence Interval for a Single Population Mean
481

Section 11-4: Large Sample Confidence Interval for the Difference Between Two Population Proportions
491

Section 11-5: Large Sample Confidence Interval for the Difference Between Two Population Means
499

Chapter Review
511

Chapter 12: Hypothesis Tests - Large Samples
512

Introduction
512

Section 12-2: Some Terms Associated with Hypothesis Testing
513

Section 12-3: Large Sample Test for a Single Population Proportion
520

Section 12-4 Large Sample Tests for a Single Population Mean
533

Section 12-5: Large Sample Test for the Difference Between Two Population Proportions
546

Section 12-6: Large Sample Tests for the Difference Between Two Population Means
562

Chapter Review
581

Chapter 13: Confidence Intervals - Small Samples
582

Introduction
582

Section 13-2: The t-Distribution
583

Section 13-3: Small Sample Confidence Interval for a Single Population Mean
587

Section 13-4: Small Sample Confidence Interval for the Difference Between Two Population Means Using Independent Samples
592

Section 13-5: Small Sample Confidence Interval for the Difference Between Two Population Means Using Dependent Samples
602

Chapter Review
611

Chapter 14: Hypothesis Tests - Small Samples
612

Introduction
612

Section 14-2 Small Sample Test for a Single Population Mean
612

Section 14-3: Small Sample Hypothesis Tests for the Difference Between Two Population Means Using Independent Samples
628

Section 14-4: Small Sample Hypothesis Tests for the Difference Between Two Population Means Using Dependent Samples
652

Chapter Review
659

Chapter 15: Chi-Square Tests
660

Introduction
660

Section 15-2: The Chi-Square Distribution
661

Section 15-3: The Chi-Square Test for Goodness-of-Fit
666

Section 15-4: The Chi-Square Test for Independence
686

Section 15-5: Benford's Law
693

Chapter Review
706

Chapter 16: One-Way Analysis of Variance
707

Introduction
707

Section 16-2: Comparing Population Means Graphically
708

Section 16-3: Terminology Associated with Analysis of Variance (ANOVA)
716

Section 16-4 The Hypotheses and Assumptions for One-Way ANOVA
721

Section 16-5: The F-Distribution and the F Test Statistic
729

Section 16-6: One-Way or Single Factor ANOVA Test for the Equality of Several Population Means
733

Section 16-7: The One-Way ANOVA Model and Validating the Model Assumptions
742

Chapter Review
754