BOOK

## Miller & Freund's Probability and Statistics for Engineers, Global Edition

**Richard A. Johnson** |
** Irwin Miller** |
** John Freund**

(2017)

### Additional Information

#### Book Details

### Abstract

*For an introductory, one or two semester, or sophomore-junior level course in Probability and Statistics or Applied Statistics for engineering, physical science, and mathematics students.*

An Applications-Focused Introduction to Probability and Statistics

Miller & Freund's Probability and Statistics for Engineers is rich in exercises and examples, and explores both elementary probability and basic statistics, with an emphasis on engineering and science applications. Much of the data has been collected from the author's own consulting experience and from discussions with scientists and engineers about the use of statistics in their fields. In later chapters, the text emphasizes designed experiments, especially two-level factorial design. The Ninth Edition includes several new datasets and examples showing application of statistics in scientific investigations, familiarizing students with the latest methods, and readying them to become real-world engineers and scientists.

### Table of Contents

Section Title | Page | Action | Price |
---|---|---|---|

Cover | Cover | ||

Title Page | 1 | ||

Copyright Page | 2 | ||

Contents | 3 | ||

Preface | 7 | ||

Chapter 1 Introduction | 11 | ||

1.1 Why Study Statistics? | 11 | ||

1.2 Modern Statistics | 12 | ||

1.3 Statistics and Engineering | 12 | ||

1.4 The Role of the Scientist and Engineer in Quality Improvement | 13 | ||

1.5 A Case Study: Visually Inspecting Data to Improve Product Quality | 13 | ||

1.6 Two Basic Concepts—Population and Sample | 15 | ||

Review Exercises | 20 | ||

Key Terms | 21 | ||

Chapter 2 Organization and Description of Data | 22 | ||

2.1 Pareto Diagrams and Dot Diagrams | 22 | ||

2.2 Frequency Distributions | 24 | ||

2.3 Graphs of Frequency Distributions | 27 | ||

2.4 Stem-and-Leaf Displays | 31 | ||

2.5 Descriptive Measures | 34 | ||

2.6 Quartiles and Percentiles | 39 | ||

2.7 The Calculation of x and s | 44 | ||

2.8 A Case Study: Problems with Aggregating Data | 49 | ||

Review Exercises | 52 | ||

Key Terms | 54 | ||

Chapter 3 Probability | 56 | ||

3.1 Sample Spaces and Events | 56 | ||

3.2 Counting | 60 | ||

3.3 Probability | 67 | ||

3.4 The Axioms of Probability | 69 | ||

3.5 Some Elementary Theorems | 72 | ||

3.6 Conditional Probability | 78 | ||

3.7 Bayes’ Theorem | 84 | ||

Review Exercises | 91 | ||

Key Terms | 93 | ||

Chapter 4 Probability Distributions | 94 | ||

4.1 Random Variables | 94 | ||

4.2 The Binomial Distribution | 98 | ||

4.3 The Hypergeometric Distribution | 103 | ||

4.4 The Mean and the Variance of a Probability Distribution | 107 | ||

4.5 Chebyshev’s Theorem | 114 | ||

4.6 The Poisson Distribution and Rare Events | 118 | ||

4.7 Poisson Processes | 122 | ||

4.8 The Geometric and Negative Binomial Distribution | 124 | ||

4.9 The Multinomial Distribution | 127 | ||

4.10 Simulation | 128 | ||

Review Exercises | 132 | ||

Key Terms | 133 | ||

Chapter 5 Probability Densities | 134 | ||

5.1 Continuous Random Variables | 134 | ||

5.2 The Normal Distribution | 140 | ||

5.3 The Normal Approximation to the Binomial Distribution | 148 | ||

5.4 Other Probability Densities | 151 | ||

5.5 The Uniform Distribution | 151 | ||

5.6 The Log-Normal Distribution | 152 | ||

5.7 The Gamma Distribution | 155 | ||

5.8 The Beta Distribution | 157 | ||

5.9 TheWeibull Distribution | 158 | ||

5.10 Joint Distributions—Discrete and Continuous | 161 | ||

5.11 Moment Generating Functions | 174 | ||

5.12 Checking If the Data Are Normal | 180 | ||

5.13 Transforming Observations to Near Normality | 182 | ||

5.14 Simulation | 184 | ||

Review Exercises | 188 | ||

Key Terms | 190 | ||

Chapter 6 Sampling Distributions | 193 | ||

6.1 Populations and Samples | 193 | ||

6.2 The Sampling Distribution of the Mean (σ known) | 197 | ||

6.3 The Sampling Distribution of the Mean (σ unknown) | 205 | ||

6.4 The Sampling Distribution of the Variance | 207 | ||

6.5 Representations of the Normal Theory Distributions | 210 | ||

6.6 The Moment Generating Function Method to Obtain Distributions | 213 | ||

6.7 Transformation Methods to Obtain Distributions | 215 | ||

Review Exercises | 221 | ||

Key Terms | 222 | ||

Chapter 7 Inferences Concerning a Mean | 223 | ||

7.1 Statistical Approaches to Making Generalizations | 223 | ||

7.2 Point Estimation | 224 | ||

7.3 Interval Estimation | 229 | ||

7.4 Maximum Likelihood Estimation | 236 | ||

7.5 Tests of Hypotheses | 242 | ||

7.6 Null Hypotheses and Tests of Hypotheses | 244 | ||

7.7 Hypotheses Concerning One Mean | 249 | ||

7.8 The Relation between Tests and Confidence Intervals | 256 | ||

7.9 Power, Sample Size, and Operating Characteristic Curves | 257 | ||

Review Exercises | 263 | ||

Key Terms | 265 | ||

Chapter 8 Comparing Two Treatments | 266 | ||

8.1 Experimental Designs for Comparing Two Treatments | 266 | ||

8.2 Comparisons—Two Independent Large Samples | 267 | ||

8.3 Comparisons—Two Independent Small Samples | 272 | ||

8.4 Matched Pairs Comparisons | 280 | ||

8.5 Design Issues—Randomization and Pairing | 285 | ||

Review Exercises | 287 | ||

Key Terms | 288 | ||

Chapter 9 Inferences Concerning Variances | 290 | ||

9.1 The Estimation of Variances | 290 | ||

9.2 Hypotheses Concerning One Variance | 293 | ||

9.3 Hypotheses Concerning Two Variances | 295 | ||

Review Exercises | 299 | ||

Key Terms | 300 | ||

Chapter 10 Inferences Concerning Proportions | 301 | ||

10.1 Estimation of Proportions | 301 | ||

10.2 Hypotheses Concerning One Proportion | 308 | ||

10.3 Hypotheses Concerning Several Proportions | 310 | ||

10.4 Analysis of r x c Tables | 318 | ||

10.5 Goodness of Fit | 322 | ||

Review Exercises | 325 | ||

Key Terms | 326 | ||

Chapter 11 Regression Analysis | 327 | ||

11.1 The Method of Least Squares | 327 | ||

11.2 Inferences Based on the Least Squares Estimators | 336 | ||

11.3 Curvilinear Regression | 350 | ||

11.4 Multiple Regression | 356 | ||

11.5 Checking the Adequacy of the Model | 361 | ||

11.6 Correlation | 366 | ||

11.7 Multiple Linear Regression (Matrix Notation) | 377 | ||

Review Exercises | 382 | ||

Key Terms | 385 | ||

Chapter 12 Analysis of Variance | 386 | ||

12.1 Some General Principles | 386 | ||

12.2 Completely Randomized Designs | 389 | ||

12.3 Randomized-Block Designs | 402 | ||

12.4 Multiple Comparisons | 410 | ||

12.5 Analysis of Covariance | 415 | ||

Review Exercises | 422 | ||

Key Terms | 424 | ||

Chapter 13 Factorial Experimentation | 425 | ||

13.1 Two-Factor Experiments | 425 | ||

13.2 Multifactor Experiments | 432 | ||

13.3 The Graphic Presentation of 22 and 23 Experiments | 441 | ||

13.4 Response Surface Analysis | 456 | ||

Review Exercises | 459 | ||

Key Terms | 463 | ||

Chapter 14 Nonparametric Tests | 464 | ||

14.1 Introduction | 464 | ||

14.2 The Sign Test | 464 | ||

14.3 Rank-Sum Tests | 466 | ||

14.4 Correlation Based on Ranks | 469 | ||

14.5 Tests of Randomness | 472 | ||

14.6 The Kolmogorov-Smirnov and Anderson-Darling Tests | 475 | ||

Review Exercises | 478 | ||

Key Terms | 479 | ||

Chapter 15 The Statistical Content of Quality-Improvement Programs | 480 | ||

15.1 Quality-Improvement Programs | 480 | ||

15.2 Starting a Quality-Improvement Program | 482 | ||

15.3 Experimental Designs for Quality | 484 | ||

15.4 Quality Control | 486 | ||

15.5 Control Charts for Measurements | 488 | ||

15.6 Control Charts for Attributes | 493 | ||

15.7 Tolerance Limits | 499 | ||

Review Exercises | 501 | ||

Key Terms | 503 | ||

Chapter 16 Application to Reliability and Life Testing | 504 | ||

16.1 Reliability | 504 | ||

16.2 Failure-Time Distribution | 506 | ||

16.3 The Exponential Model in Life Testing | 510 | ||

16.4 The Weibull Model in Life Testing | 513 | ||

Review Exercises | 518 | ||

Key Terms | 519 | ||

Appendix A Bibliography | 521 | ||

Appendix B Statistical Tables | 522 | ||

Appendix C Using the R Software Program | 529 | ||

Introduction to R | 529 | ||

Entering Data | 529 | ||

Arithmetic Operations | 530 | ||

Descriptive Statistics | 530 | ||

Probability Distributions | 531 | ||

Normal Probability Calculations | 531 | ||

Sampling Distributions | 531 | ||

Confidence Intervals and Tests of Means | 532 | ||

Inference about Proportions | 532 | ||

Regression | 532 | ||

One-Way Analysis of Variance (ANOVA) | 533 | ||

Appendix D Answers to Odd-Numbered Exercises | 534 | ||

Index | 541 | ||

A | 541 | ||

B | 541 | ||

C | 541 | ||

D | 541 | ||

E | 542 | ||

F | 542 | ||

G | 542 | ||

H | 542 | ||

I | 543 | ||

J | 543 | ||

K | 543 | ||

L | 543 | ||

M | 543 | ||

N | 544 | ||

O | 544 | ||

P | 544 | ||

Q | 544 | ||

R | 544 | ||

S | 545 | ||

T | 546 | ||

U | 546 | ||

V | 546 | ||

W | 546 | ||

X | 546 | ||

Z | 546 |