Rent 9780131437456 | Miller and Freund's Probability and Statistics for Engineers | Johnson, Richard A.; Miller, Irwin; Freund, John @knetbooks.com

Summary Table of Contents

For an introductory, one or two semester, sophomore-junior level course in Probability and Statistics or Applied Statistics for engineering, physical science, and mathematics students.This example- and exercise-rich exploration of both elementary probability and basic statistics emphasizes engineering and science applications many using data collected from the author's consulting experience. In later chapters, the text emphasizes designed experiments, especially two-level factorial design.

This example and exercise... MORE

Preface

1 Introduction

(12)

1.1 Why Study Statistics?

(1)

... MORE

1.2 Modern Statistics

(1)

1.3 Statistics and Engineering

(1)

1.4 The Role of the Scientist and Engineer in Quality Improvement

(1)

1.5 A Case Study: Visually Inspecting Data to Improve Product Quality

(2)

1.6 Two Basic Concepts-Population and Sample

(7)

Do's and Don'ts

(1)

Review Exercises

(3)

2 Treatment of Data

(40)

2.1 Pareto Diagrams and Dot Diagrams

(3)

2.2 Frequency Distributions

(3)

2.3 Graphs of Frequency Distributions

(3)

2.4 Stem-and-leaf Displays

(6)

2.5 Descriptive Measures

(5)

2.6 Quartiles and Percentiles

(5)

2.7 The Calculation of -x and s

(7)

2.8 A Case Study: Problems with Aggregating Data

(8)

Do's and Don'ts

(1)

Review Exercises

(5)

3 Probability

(48)

3.1 Sample Spaces and Events

(5)

3.2 Counting

(7)

3.3 Probability

(2)

3.4 The Axioms of Probability

(3)

3.5 Some Elementary Theorems

(8)

3.6 Conditional Probability

(7)

3.7 Bayes' Theorem

(6)

3.8 Mathematical Expectation and Decision Making

(10)

Do's and Don'ts

(1)

Review Exercises

(4)

4 Probability Distributions

101

(45)

4.1 Random Variables

101

(3)

4.2 The Binomial Distribution

104

(6)

4.3 The Hypergeometric Distribution

110

(5)

4.4 The Mean and the Variance of a Probability Distribution

115

(7)

4.5 Chebyshev's Theorem

122

(5)

4.6 The Poisson Approximation to the Binomial Distribution

127

(3)

4.7 Poisson Processes

130

(3)

4.8 The Geometric Distribution

133

(3)

4.9 The Multinomial Distribution

136

(2)

4.10 Simulation

138

(8)

Do's and Don'ts

141

(1)

Review Exercises

142

(4)

5 Probability Densities

146

(57)

5.1 Continuous Random Variables

146

(7)

5.2 The Normal Distribution

153

(7)

5.3 The Normal Approximation to the Binomial Distribution

160

(5)

5.4 Other Probability Densities

165

(1)

5.5 The Uniform Distribution

165

(1)

5.6 The Log-Normal Distribution

166

(3)

5.7 The Gamma Distribution

169

(2)

5.8 The Beta Distribution

171

(2)

5.9 The Weibull Distribution

173

(3)

5.10 Joint Distributions-Discrete and Continuous

176

(14)

5.11 Checking if the Data Are Normal

190

(3)

5.12 Transforming Observations to Near Normality

193

(2)

5.13 Simulation

195

(4)

Do's and Don'ts

199

(1)

Review Exercises

200

(3)

6 Sampling Distributions

203

(23)

6.1 Populations and Samples

203

(4)

6.2 The Sampling Distribution of the Mean (σ known)

207

(9)

6.3 The Sampling Distribution of the Mean (σ unknown)

216

(2)

6.4 The Sampling Distribution of the Variance

218

(8)

Do's and Don'ts

222

(1)

Review Exercises

223

(3)

7 Inferences Concerning Means

226

(55)

7.1 Point Estimation

226

(5)

7.2 Interval Estimation

231

(7)

7.3 Tests of Hypotheses

238

(2)

7.4 Null Hypotheses and Tests of Hypotheses

240

(6)

7.5 Hypotheses Concerning One Mean

246

(5)

7.6 The Relation Between Tests and Confidence Intervals

251

(1)

7.7 Operating Characteristic Curves

252

(8)

7.8 Inference Concerning Two Means

260

(12)

7.9 Design Issues-Randomization and Pairing

272

(9)

Do's and Don'ts

274

(2)

Review Exercises

276

(5)

8 Inferences Concerning Variances

281

(11)

8.1 The Estimation of Variances

281

(3)

8.2 Hypotheses Concerning One Variance

284

(2)

8.3 Hypotheses Concerning Two Variances

286

(6)

Do's and Don'ts

290

(1)

Review Exercises

290

(2)

9 Inferences Concerning Proportions

292

(28)

9.1 Estimation of Proportions

292

(6)

9.2 Hypotheses Concerning One Proportion

298

(2)

9.3 Hypotheses Concerning Several Proportions

300

(8)

9.4 Analysis of r x c Tables

308

(3)

9.5 Goodness of Fit

311

(9)

Do's and Don'ts

316

(1)

Review Exercises

317

(3)

10 Nonparametric Tests

320

(17)

10.1 Introduction

320

(1)

10.2 The Sign Test

321

(1)

10.3 Rank-Sum Tests

322

(6)

10.4 Tests of Randomness

328

(3)

10.5 The Kolmogorov-Smirnov and Anderson-Darling Tests

331

(13)

Do's and Don'ts

334

(1)

Review Exercises

335

(2)

11.1 The Method of Least Squares

337

(60)

11.2 Inferences Based on the Least Squares Estimators

344

(14)

11.3 Curvilinear Regression

358

(5)

11.4 Multiple Regression

363

(4)

11.5 Checking the Adequacy of the Model

367

(7)

11.6 Correlation

374

(13)

11.7 Multiple Linear Regression (Matrix Notation)

387

(10)

Do's and Don'ts

391

(1)

Review Exercises

392

(5)

12 Analysis of Variance

397

(53)

12.1 Some General Principles

397

(3)

12.2 Completely Randomized Designs

400

(17)

12.3 Randomized-Block Designs

417

(8)

12.4 Multiple Comparisons

425

(6)

12.5 Some Further Experimental Designs

431

(8)

12.6 Analysis of Covariance

439

(11)

Do's and don'ts

445

(1)

Review Exercises

445

(5)

13 Factorial Experimentation

450

(60)

13.1 Two-Factor Experiments

450

(9)

13.2 Multifactor Experiments

459

(11)

13.3 2n Factorial Experiments

470

(8)

13.4 The Graphic Presentation of 2� and 2� Experiments

478

(16)

13.5 Confounding in a 2n Factorial Experiment

494

(4)

13.6 Fractional Replication

498

(12)

Do's and Don'ts

504

(1)

Review Exercises

504

(6)

14 The Statistical Content of Quality-Improvement Programs

510

(39)

14.1 Quality-Improvement Programs

510

(3)

14.2 Starting a Quality-Improvement Program

513

(2)

14.3 Experimental Designs for Quality

515

(3)

14.4 Quality Control

518

(2)

14.5 Control Charts for Measurements

520

(6)

14.6 Control Charts for Attributes

526

(6)

14.7 Tolerance Limits

532

(3)

14.8 Acceptance Sampling

535

(14)

Do's and Don'ts

544

(1)

Review Exercises

545

(4)

15 Application to Reliability and Life Testing

549

(24)

15.1 Reliability

549

(3)

15.2 Failure-Time Distribution

552

(2)

15.3 The Exponential Model in Reliability

554

(4)

15.4 The Exponential Model in Life Testing

558

(4)

15.5 The Weibull Model in Life Testing

562

(47)

Do's and Don'ts

568

(1)

Review Exercises

568

(5)

Appendix A Bibliography

573

(2)

Appendix B Statistical Tables

575

(34)

Appendix C Using the R Software Program

609

(6)

Introduction to R

609

(1)

Entering Data

609

(1)

Arithmetic Operations

610

(1)

Descriptive Statistics

611

(1)

Probability Distributions

611

(1)

Normal Probability Calculations

611

(1)

Sampling Distributions

612

(1)

Confidence Intervals and Tests of Means

612

(1)

Inference About Proportions

612

(1)

Regression

613

(1)

One-way Analysis of Variance (ANOVA)

613

(2)

Appendix D Answers to Odd-Numbered Exercises

615

(20)

Index

635

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