CHAPTER 1 The Role of Statistics in Engineering 1
1-1 The Engineering Method and Statistical Thinking 2
1-2 Collecting Engineering Data 6
1-3 Mechanistic and Empirical Models 15
1-4 Observing Processes Over Time 17
CHAPTER 2 Data Summary and Presentation 23
2-1 Data Summary and Display 24
2-2 Stem-and-Leaf Diagram 29
2-3 Histograms 34
2-4 Box Plot 39
2-5 Time Series Plots 41
2-6 Multivariate Data 46
CHAPTER 3 Random Variables and Probability Distributions 57
3-1 Introduction 58
3-2 Random Variables 60
3-3 Probability 62
3-4 Continuous Random Variables 66
3-5 Important Continuous Distributions 74
3-6 Probability Plots 92
3-7 Discrete Random Variables 97
3-8 Binomial Distribution 102
3-9 Poisson Process 109
3-10 Normal Approximation to the Binomial and Poisson Distributions 119
3-11 More than One Random Variable and Independence 123
3-12 Functions of Random Variables 129
3-13 Random Samples, Statistics, and the Central Limit Theorem 136
CHAPTER 4 Decision Making for a Single Sample 148
4-1 Statistical Inference 149
4-2 Point Estimation 150
4-3 Hypothesis Testing 156
4-4 Inference on the Mean of a Population, Variance Known 169
4-5 Inference on the Mean of a Population, Variance Unknown 186
4-6 Inference on the Variance of a Normal Population 199
4-7 Inference on a Population Proportion 205
4-8 Other Interval Estimates for a Single Sample 216
4-9 Summary Tables of Inference Procedures for a Single Sample 219
4-10 Testing for Goodness of Fit 219
CHAPTER 5 Decision Making for Two Samples 230
5-1 Introduction 231
5-2 Inference on the Means of Two Populations, Variances Known 232
5-3 Inference on the Means of Two Populations, Variances Unknown 239
5-4 The Paired t-Test 252
5-5 Inference on the Ratio of Variances of Two Normal Populations 259
5-6 Inference on Two Population Proportions 265
5-7 Summary Tables for Inference Procedures for Two Samples 271
5-8 What if We Have More than Two Samples? 272
CHAPTER 6 Building Empirical Models 298
6-1 Introduction to Empirical Models 299
6-2 Simple Linear Regression 304
6-3 Multiple Regression 326
6-4 Other Aspects of Regression 344
CHAPTER 7 Design of Engineering Experiments 360
7-1 The Strategy of Experimentation 361
7-2 Factorial Experiments 362
7-3 2k Factorial Design 365
7-4 Center Points and Blocking in 2k Designs 390
7-5 Fractional Replication of a 2k Design 398
7-6 Response Surface Methods and Designs 414
7-7 Factorial Experiments With More Than Two Levels 424
CHAPTER 8 Statistical Process Control 438
8-1 Quality Improvement and Statistical Process Control 439
8-2 Introduction to Control Charts 440
8-3 and R Control Charts 449
8-4 Control Charts For Individual Measurements 456
8-5 Process Capability 461
8-6 Attribute Control Charts 465
8-7 Control Chart Performance 470
8-8 Measurement Systems Capability 473
APPENDICES 483
APPENDIX A Statistical Tables and Charts 485
APPENDIX B Bibliography 500
APPENDIX C Answers to Selected Exercises 502
INDEX 511
