# Understandable Statistics: Concepts And Methods, 13th Edition PDF by Charles Henry Brase, Corrinne Pellillo Brase, Jason Dolor and James Seibert

## Understandable Statistics: Concepts And Methods, Thirteenth Edition

By Charles Henry Brase, Corrinne Pellillo Brase, Jason Dolor and James Seibert Contents:

Preface viii

Table of Prerequisite Material xxv

1 Getting Started 2

FOCUS PROBLEM: Where Have All the Fireflies Gone? 3

1.1 What Is Statistics? 4

1.2 Random Samples 12

1.3 Introduction to Experimental Design 20

Summary 30

Important Words & Symbols 30

Chapter Review Problems 31

Data Highlights: Group Projects 33

USING TECHNOLOGY 34

2 Organizing Data 36

FOCUS PROBLEM: Say It with Pictures 37

2.1 Frequency Distributions, Histograms, and Related Topics 39

2.2 Bar Graphs, Circle Graphs, and Time-Series Graphs 57

2.3 Stem-and-Leaf Displays 66

Summary 75

Important Words & Symbols 75

Chapter Review Problems 76

Data Highlights: Group Projects 78

USING TECHNOLOGY 80

3 Averages and Variation 84

FOCUS PROBLEM: Water: Yellowstone River 85

3.1 Measures of Central Tendency: Mode, Median, and Mean 86

3.2 Measures of Variation 96

3.3 Percentiles and Box-and-Whisker Plots 112

Summary 122

Important Words & Symbols 122

Chapter Review Problems 123

Data Highlights: Group Projects 125

USING TECHNOLOGY 127

Cumulative Review Problems 129

4 Elementary Probability Theory 132

FOCUS PROBLEM: How Often Do Lie Detectors Lie? 133

4.1 What Is Probability? 134

4.2 Some Probability Rules—Compound Events 145

4.3 Trees and Counting Techniques 164

Summary 175

Important Words & Symbols 175

Chapter Review Problems 176

Data Highlights: Group Projects 177

USING TECHNOLOGY 180

5 The Binomial Probability Distribution

and Related Topics 182

FOCUS PROBLEM: Experiencing Other Cultures: How Many International Students? 183

5.1 Introduction to Random Variables and Probability Distributions 184

5.2 Binomial Probabilities 193

5.3 Additional Properties of the Binomial Distribution 208

5.4 The Geometric and Poisson Probability Distributions (eTextbook only)

Summary 220

Important Words & Symbols 220

Chapter Review Problems 221

Data Highlights: Group Projects 223

USING TECHNOLOGY 226

6 Normal Curves and Sampling Distributions 228

PART I: Normal Distributions 230

6.1 Graphs of Normal Probability Distributions 230

6.2 Standard Units and Areas Under the Standard Normal Distribution 242

6.3 Areas Under Any Normal Curve 252

PART I: Summary 267

PART II: Sampling Distributions and the Normal Approximation to Binomial

Distribution 267

6.4 Sampling Distributions 267

6.5 The Central Limit Theorem 275

6.6 Normal Approximation to the Binomial Distribution and to the p

Distribution 286

PART II: Summary 295

Summary 296

Important Words & Symbols 297

Chapter Review Problems 297

Data Highlights: Group Projects 299

USING TECHNOLOGY 302

Cumulative Review Problems 305

7 Estimation 308

FOCUS PROBLEM: The Trouble with Wood Ducks 309

PART I: Estimating a Single Mean or Single Proportion 310

7.1 Estimating m When σ Is Known 310

7.2 Estimating m When σ Is Unknown 323

7.3 Estimating p in the Binomial Distribution 335

PART I: Summary 349

PART II: Estimating the Difference Between Two Means or Two

Proportions 349

7.4 Estimating m1 − m2 and p1 − p2 350

PART II: Summary 370

Summary 371

Important Words & Symbols 371

Chapter Review Problems 372

Data Highlights: Group Projects 375

USING TECHNOLOGY 378

8 Hypothesis Testing 382

FOCUS PROBLEM: Benford’s Law: The Importance of Being Number 1 383

PART I: Testing a Single Mean or Single Proportion 384

8.1 Introduction to Statistical Tests 384

8.2 Testing the Mean m 400

8.3 Testing a Proportion p 415

PART I: Summary 426

PART II: Testing a Difference Between Two Means or Two

Proportions 426

8.4 Tests Involving Paired Differences (Dependent Samples) 427

8.5 Testing m1 − m2 and p1 − p2 (Independent Samples) 439

PART II: Summary 461

Summary 462

Finding the P-Value Corresponding to a Sample Test

Statistic 462

Important Words & Symbols 463

Chapter Review Problems 463

Data Highlights: Group Projects 465

USING TECHNOLOGY 467

9 Correlation and Regression 470

FOCUS PROBLEM: Changing Populations and Crime Rate 471

PART I: Simple Linear Regression 472

9.1 Scatter Diagrams and Linear Correlation 472

9.2 Linear Regression and the Coefficient of Determination 488

9.3 Inferences for Correlation and Regression 503

PART I: Summary 522

PART II: Multiple Regression 522

9.4 Multiple Regression 523

PART II: Summary 536

Summary 537

Important Words & Symbols 537

Chapter Review Problems 538

Data Highlights: Group Projects 540

USING TECHNOLOGY 542

Cumulative Review Problems 544

10 Chi-Square and F Distributions 548

FOCUS PROBLEM: Archaeology in Bandelier National Monument 549

PART I: Inferences Using the Chi-Square Distribution 550

10.1 Chi-Square: Tests of Independence and of Homogeneity 551

10.2 Chi-Square: Goodness of Fit 566

10.3 Testing and Estimating a Single Variance or Standard Deviation 575

PART I: Summary 587

PART II: Inferences Using the F Distribution 588

10.4 Testing Two Variances 589

10.5 One-Way ANOVA: Comparing Several Sample Means 598

10.6 Introduction to Two-Way ANOVA 614

PART II: Summary 625

Summary 626

Part I 626

Part II 626

Important Words & Symbols 626

Part I 626

Part II 626

Chapter Review Problems 626

Data Highlights: Group Projects 629

USING TECHNOLOGY 631

11 Nonparametric Statistics 634

FOCUS PROBLEM: How Cold? Compared to What? 635

11.1 The Sign Test for Matched Pairs 636

11.2 The Rank-Sum Test 643

11.3 Spearman Rank Correlation 650

11.4 Runs Test for Randomness 660

Summary 669

Important Words & Symbols 669

Chapter Review Problems 669

Data Highlights: Group Projects 671

Cumulative Review Problems 672

Appendix I: Additional Topics (eTextbook only) A1

PART I: Bayes’s Theorem

PART II: The Hypergeometric Probability Distribution

Appendix II: Tables A3

Table 1: Random Numbers A3

Table 2: Binomial Coefficients Cn,r A4

Table 3: Binomial Probability Distribution Cn,r prqn2r A5

Table 4: Poisson Probability Distribution A10

Table 5: Areas of a Standard Normal Distribution A16

Table 6: Critical Values for Student’s t Distribution A18

Table 7: The _ 2 Distribution A19

Table 8: Critical Values for F Distribution A20

Table 9: Critical Values for Spearman Rank Correlation, rs A30

Table 10: Critical Values for Number of Runs R (Level of Significance a 5 0.05) A31

Answers and Key Steps to Odd-Numbered Problems A33

Index I1

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