Probability and Statistics for Engineering and the Sciences

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ISBN: 9780534372811 | 0534372813
Cover: Hardcover
Copyright: 12/9/1999

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This market-leading text provides a comprehensive introduction to probability models and statistical methods for students in engineering and the physical and natural sciences. It is a proven, accurate book with great examples from an outstanding author, Jay Devore. Through the use of lively and realistic examples with real data, students go beyond simply learning statistics and probability--they actually experience its potential.

Overview and Descriptive Statistics

(51)

Introduction

(2)

Populations, Samples, and Processes

(8)

Pictorial and Tabular Methods in Descriptive Statistics

(17)

Measures of Location

(8)

Measures of Variability

(16)

Supplementary Exercises

(3)

Bibliography

(1)

Probability

(44)

Introduction

(1)

Sample Spaces and Events

(5)

Axioms, Interpretations, and Properties of Probability

(9)

Counting Techniques

(8)

Conditional Probability

(11)

Independence

(10)

Supplementary Exercises

(3)

Bibliography

(1)

Discrete Random Variables and Probability Distributions

(47)

Introduction

(1)

Random Variables

(4)

Probability Distributions for Discrete Random Variables

100

(10)

Expected Values of Discrete Random Variables

110

(9)

The Binomial Probability Distribution

119

(8)

Hypergeometric and Negative Binomial Distributions

127

(7)

The Poisson Probability Distribution

134

(9)

Supplementary Exercises

139

(3)

Bibliography

142

(1)

Continuous Random Variables and Probability Distributions

143

(58)

Introduction

143

(1)

Continuous Random Variables and Probability Density Functions

143

(6)

Cumulative Distribution Functions and Expected Values

149

(9)

The Normal Distribution

158

(13)

The Gamma Distribution and Its Relatives

171

(7)

Other Continuous Distributions

178

(7)

Probability Plots

185

(16)

Supplementary Exercises

196

(4)

Bibliography

200

(1)

Joint Probability Distributions and Random Samples

201

(48)

Introduction

201

(1)

Jointly Distributed Random Variables

202

(13)

Expected Values, Covariance, and Correlation

215

(6)

Statistics and Their Distributions

221

(12)

The Distribution of the Sample Mean

233

(6)

The Distribution of a Linear Combination

239

(10)

Supplementary Exercises

245

(3)

Bibliography

248

(1)

Point Estimation

249

(28)

Introduction

249

(1)

Some General Concepts of Point Estimation

250

(15)

Methods of Point Estimation

265

(12)

Supplementary Exercises

274

(1)

Bibliography

275

(2)

Statistical Intervals Based on a Single Sample

277

(33)

Introduction

277

(1)

Basic Properties of Confidence Intervals

278

(9)

Large-Sample Confidence Intervals for a Population Mean and Proportion

287

(8)

Intervals Based on a Normal Population Distribution

295

(9)

Confidence Intervals for the Variance and Standard Deviation of a Normal Population

304

(6)

Supplementary Exercises

307

(2)

Bibliography

309

(1)

Tests of Hypotheses Based on a Single Sample

310

(44)

Introduction

310

(1)

Hypotheses and Test Procedures

311

(10)

Tests About a Population Mean

321

(13)

Tests Concerning a Population Proportion

334

(5)

P-Values

339

(8)

Some Comments on Selecting a Test Procedure

347

(7)

Supplementary Exercises

350

(3)

Bibliography

353

(1)

Inferences Based on Two Samples

354

(48)

Introduction

354

(1)

z Tests and Confidence Intervals for a Difference Between Two Population Means

355

(11)

The Two-Sample t Test and Confidence Interval

366

(8)

Analysis of Paired Data

374

(10)

Inferences Concerning a Difference Between Population Proportions

384

(8)

Inferences Concerning Two Population Variances

392

(10)

Supplementary Exercises

396

(5)

Bibliography

401

(1)

The Analysis of Variance

402

(31)

Introduction

402

(1)

Single-Factor ANOVA

403

(11)

Multiple Comparisons in ANOVA

414

(6)

More on Single-Factor ANOVA

420

(13)

Supplementary Exercises

430

(2)

Bibliography

432

(1)

Multifactor Analysis of Variance

433

(55)

Introduction

433

(1)

Two-Factor ANOVA with Kij = 1

434

(14)

Two-Factor ANOVA with Kij > 1

448

(9)

Three-Factor ANOVA

457

(11)

2p Factorial Experiments

468

(20)

Supplementary Exercises

483

(3)

Bibliography

486

(2)

Simple Linear Regression and Correlation

488

(55)

Introduction

488

(1)

The Simple Linear Regression Model

489

(8)

Estimating Model Parameters

497

(15)

Inferences About the Slope Parameter β

512

(8)

Inferences Concerning μy.x* and the Prediction of Future Y Values

520

(8)

Correlation

528

(15)

Supplementary Exercises

538

(4)

Bibliography

542

(1)

Nonlinear and Multiple Regression

543

(73)

Introduction

543

(1)

Aptness of the Model and Model Checking

544

(8)

Regression with Transformed Variables

552

(10)

Polynomial Regression

562

(11)

Multiple Regression Analysis

573

(24)

Other Issues in Multiple Regression

597

(19)

Supplementary Exercises

610

(5)

Bibliography

615

(1)

The Analysis of Categorical Data

616

(33)

Introduction

616

(1)

Goodness-of-Fit Tests When Category Probabilities Are Completely Specified

617

(8)

Goodness of Fit for Composite Hypotheses

625

(13)

Two-Way Contingency Tables

638

(11)

Supplementary Exercises

646

(2)

Bibliography

648

(1)

Distribution-Free Procedures

649

(29)

Introduction

649

(1)

The Wilcoxon Signed-Rank Test

650

(9)

The Wilcoxon Rank-Sum Test

659

(7)

Distribution-Free Confidence Intervals

666

(5)

Distribution-Free ANOVA

671

(7)

Supplementary Exercises

675

(2)

Bibliography

677

(1)

Quality Control Methods

678

(39)

Introduction

678

(1)

General Comments on Control Charts

679

(2)

Control Charts for Process Location

681

(9)

Control Charts for Process Variation

690

(5)

Control Charts for Attributes

695

(5)

CUSUM Procedures

700

(9)

Acceptance Sampling

709

(8)

Supplementary Exercises

715

(1)

Bibliography

716

(1)

Appendix Tables

717

(28)

A.1 Cumulative Binomial Probabilities

718

(2)

A.2 Cumulative Poisson Probabilities

720

(2)

A.3 Standard Normal Curve Areas

722

(2)

A.4 The Incomplete Gamma Function

724

(1)

A.5 Critical Values for t Distributions

725

(1)

A.6 Tolerance Critical Values for Normal Population Distributions

726

(1)

A.7 Critical Values for Chi-Squared Distributions

727

(1)

A.8 t Curve Tail Areas

728

(2)

A.9 Critical Values for F Distributions

730

(6)

A.10 Critical Values for Studentized Range Distributions

736

(1)

A.11 Chi-Squared Curve Tail Areas

737

(2)

A.12 Critical Values for the Ryan-Joiner Test of Normality

739

(1)

A.13 Critical Values for the Wilcoxon Signed-Rank Test

740

(1)

A.14 Critical Values for the Wilcoxon Rank-Sum Test

741

(1)

A.15 Critical Values for the Wilcoxon Signed-Rank Interval

742

(1)

A.16 Critical Values for the Wilcoxon Rank-Sum Interval

743

(1)

A.17 β Curves for t Tests

744

(1)

Answers to Odd-Numbered Exercises

745

(20)

Index

765

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Probability and Statistics for Engineering and the Sciences

Summary

Table of Contents

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Probability and Statistics for Engineering and the Sciences

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