Applied Statistics and Probability for Engineers, 7e Montgomery, Runger (eBook PDF)

Cover Title Page Preface CHAPTER 1: The Role of Statistics in Engineering Important Terms and Concepts Study Resources Additional Study Resources Readings Content 1.1 The Engineering Method and Statistical Thinki ...

Cover Title Page Preface CHAPTER 1: The Role of Statistics in Engineering Important Terms and Concepts Study Resources Additional Study Resources Readings Content 1.1 The Engineering Method and Statistical Thinking 1.2 Collecting Engineering Data 1.3 Mechanistic and Empirical Models 1.4 Probability and Probability Models CHAPTER 2: Probability Exercises Exercises for Section 2.1 Exercises for Section 2.2 Exercises for Section 2.3 Exercises for Section 2.4 Exercises for Section 2.5 Exercises for Section 2.6 Exercises for Section 2.7 Exercises for Section 2.8 Exercises for Section 2.9 Supplemental Exercises for Chapter 2 Important Terms and Concepts Study Resources Section 2.1: Sample Spaces and Events Section 2.2: Counting Techniques Section 2.3: Interpretations and Axioms of Probability Section 2.5: Conditional Probability Section 2.6: Intersections of Events and Multiplication and Total Probability Rules Section 2.7: Independence Section 2.8: Bayes’ Theorem Additional Study Resources Readings Content 2.1 Sample Spaces and Events 2.2 Counting Techniques 2.3 Interpretations and Axioms of Probability 2.4 Unions of Events and Addition Rules 2.5 Conditional Probability 2.6 Intersections of Events and Multiplication and Total Probability Rules 2.7 Independence 2.8 Bayes’ Theorem 2.9 Random Variables Chapter 3: Discrete Random Variables and Probability Distributions Exercises Exercises for Section 3.1 Exercises for Section 3.2 Exercises for Section 3.3 Exercises for Section 3.4 Exercises for Section 3.5 Exercises for Section 3.6 Exercises for Section 3.7 Exercises for Section 3.8 Supplemental Exercises for Chapter 3 Important Terms and Concepts Study Resources Section 3.1 Probability Distributions and Probability Mass Functions Section 3.2 Cumulative Distribution Functions Section 3.3 Mean and Variance of a Discrete Random Variable Section 3.5 Binomial Distribution Section 3.6 Geometric and Negative Binomial Distributions Section 3.7 Hypergeometric Distribution Section 3.8 Poisson Distribution Additional Study Resources Reading Content 3.1 Probability Distributions and Probability Mass Functions 3.2 Cumulative Distribution Functions 3.3 Mean and Variance of a Discrete Random Variable 3.4 Discrete Uniform Distribution 3.5 Binomial Distribution 3.6 Geometric and Negative Binomial Distributions 3.7 Hypergeometric Distribution 3.8 Poisson Distribution CHAPTER 4: Continuous Random Variables and Probability Distributions Exercises Exercises for Section 4.1 Exercises for Section 4.2 Exercises for Section 4.3 Exercises for Section 4.4 Exercises for Section 4.5 Exercises for Section 4.6 Exercises for Section 4.7 Exercises for Section 4.8 Exercises for Section 4.9 Exercises for Section 4.10 Exercises for Section 4.11 Supplemental Exercises for Chapter 4 Important Terms and Concepts Study Resources Section 4.1 Probability Distributions and Probability Density Functions Section 4.2 Cumulative Distribution Functions Section 4.3 Mean and Variance of a Continuous Random Variable Section 4.4 Continuous Uniform Distribution Section 4.5 Normal Distribution Section 4.6 Normal Approximation to the Binomial and Poisson Distributions Section 4.7 Exponential Distribution Section 4.9 Weibull Distribution Section 4.10 Lognormal Distribution Additional Study Resources Readings Content 4.1 Probability Distributions and Probability Density Functions 4.2 Cumulative Distribution Functions 4.3 Mean and Variance of a Continuous Random Variable 4.4 Continuous Uniform Distribution 4.5 Normal Distribution 4.6 Normal Approximation to the Binomial and Poisson Distributions 4.7 Exponential Distribution 4.8 Erlang and Gamma Distributions 4.9 Weibull Distribution 4.10 Lognormal Distribution 4.11 Beta Distribution CHAPTER 5: Joint Probability Distributions Exercises Exercises for Section 5.1 Exercises for Section 5.2 Exercises for Section 5.3 Exercises for Section 5.4 Exercises for Section 5.5 Exercises for Section 5.6 Exercises for Section 5.7 Exercises for Section 5.8 Supplemental Exercises for Chapter 5 Important Terms and Concepts Study Resources Section 5.1 Joint Probability Distributions for Two Random Variables Section 5.2 Conditional Probability Distributions and Independence Section 5.4 Covariance and Correlation Section 5.5 Common Joint Distributions Section 5.6 Linear Functions of Random Variables Section 5.8 Moment-Generating Functions Additional Study Resources Readings Content 5.1 Joint Probability Distributions for Two Random Variables 5.2 Conditional Probability Distributions and Independence 5.3 Joint Probability Distributions for More Than Two Random Variables 5.4 Covariance and Correlation 5.5 Common Joint Distributions 5.6 Linear Functions of Random Variables 5.7 General Functions of Random Variables 5.8 Moment-Generating Functions CHAPTER 6: Descriptive Statistics Exercises Exercises for Section 6.1 Exercises for Section 6.2 Exercises for Section 6.3 Exercises for Section 6.4 Exercises for Section 6.5 Exercises for Section 6.6 Exercises for Section 6.7 Supplemental Exercises for Chapter 6 Important Terms and Concepts Study Resources Section 6.1 Numerical Summaries of Data Section 6.2 Stem-and-Leaf Diagrams Section 6.3 Frequency Distributions and Histograms Section 6.4 Box Plots Section 6.6 Scatter Diagrams Section 6.7 Probability Plots Additional Study Resources Readings Content 6.1 Numerical Summaries of Data 6.2 Stem-and-Leaf Diagrams 6.3 Frequency Distributions and Histograms 6.4 Box Plots 6.5 Time Sequence Plots 6.6 Scatter Diagrams 6.7 Probability Plots CHAPTER 7: Point Estimation of Parameters and Sampling Distributions Exercises Exercises for Section 7.2 Exercises for Section 7.3 Exercises for Section 7.4 Supplemental Exercises for Chapter 7 Important Terms and Concepts Study Resources Section 7.2 Sampling Distributions and the Central Limit Theorem Section 7.3 General Concepts of Point Estimation Section 7.4 Methods of Point Estimation Additional Study Resources Readings Content Introduction 7.1 Point Estimation 7.2 Sampling Distributions and the Central Limit Theorem 7.3 General Concepts of Point Estimation 7.4 Methods of Point Estimation CHAPTER 8: Statistical Intervals for a Single Sample Exercises Exercises for Section 8.1 Exercises for Section 8.2 Exercises for Section 8.3 Exercises for Section 8.4 Exercises for Section 8.6 Supplemental Exercises for Chapter 8 Important Terms and Concepts Study Resources Section 8.1 Confidence Interval on the Mean of a Normal Distribution, Variance Known Section 8.2 Confidence Interval on the Mean of a Normal Distribution, Variance Unknown Section 8.3 Confidence Interval on the Variance and Standard Deviation of a Normal Distribution Section 8.4 Large-Sample Confidence Interval for a Population Proportion Additional Study Resources Readings Content Introduction 8.1 Confidence Interval on the Mean of a Normal Distribution, Variance Known 8.2 Confidence Interval on the Mean of a Normal Distribution, Variance Unknown 8.3 Confidence Interval on the Variance and Standard Deviation of a Normal Distribution 8.4 Large-Sample Confidence Interval for a Population Proportion 8.5 Guidelines for Constructing Confidence Intervals 8.6 Bootstrap Confidence Interval 8.7 Tolerance and Prediction Intervals CHAPTER 9: Tests of Hypotheses for a Single Sample Exercises Exercises for Section 9.1 Exercises for Section 9.2 Exercises for Section 9.3 Exercises for Section 9.4 Exercises for Section 9.5 Exercises for Section 9.7 Exercises for Section 9.8 Exercises for Section 9.9 Exercises for Section 9.10 Exercises for Section 9.11 Supplemental Exercises for Chapter 9 Important Terms and Concepts Study Resources Section 9.1 Hypothesis Testing Section 9.2 Tests on the Mean of a Normal Distribution, Variance Known Section 9.3 Tests on the Mean of a Normal Distribution, Variance Unknown Section 9.5 Tests on a Population Proportion Additional Study Resources Readings Content Introduction 9.1 Hypothesis Testing 9.2 Tests on the Mean of a Normal Distribution, Variance Known 9.3 Tests on the Mean of a Normal Distribution, Variance Unknown 9.4 Tests on the Variance and Standard Deviation of a Normal Distribution 9.5 Tests on a Population Proportion 9.6 Summary Table of Inference Procedures for a Single Sample 9.7 Testing for Goodness of Fit 9.8 Contingency Table Tests 9.9 Nonparametric Procedures 9.10 Equivalence Testing 9.11 Combining P-Values CHAPTER 10: Statistical Inference for Two Samples Exercises Exercises for Section 10.1 Exercises for Section 10.2 Exercises for Section 10.3 Exercises for Section 10.4 Exercises for Section 10.5 Exercises for Section 10.6 Supplemental Exercises for Chapter 10 Important Terms and Concepts Study Resources Section 10.2 Inference on the Difference in Means of Two Normal Distributions, Variances Unknown Section 10.3 A Nonparametric Test for the Difference in Two Means Section 10.4 Paired t-Test Section 10.6 Inference on Two Population Proportions Additional Study Resources Readings Content 10.1 Inference on the Difference in Means of Two Normal Distributions, Variances Known 10.2 Inference on the Difference in Means of Two Normal Distributions, Variances Unknown 10.3 A Nonparametric Test for the Difference in Two Means 10.4 Paired t-Test 10.5 Inference on the Variances of Two Normal Distributions 10.6 Inference on Two Population Proportions 10.7 Summary Table and Road Map for Inference Procedures for Two Samples CHAPTER 11: Simple Linear Regression and Correlation Exercises Exercises for Section 11.2 Exercises for Section 11.4 Exercises for Sections 11.5 and 11.6 Exercises for Section 11.7 Exercises for Section 11.8 Exercises for Section 11.9 Exercises for Section 11.10 Supplemental Exercises for Chapter 11 Important Terms and Concepts Study Resources Section 11.2 Simple Linear Regression Section 11.4 Hypothesis Tests in Simple Linear Regression Section 11.7 Adequacy of the Regression Model Section 11.8 Correlation Section 11.9: Regression on Transformed Variables Additional Study Resources Readings Content 11.1 Empirical Models 11.2 Simple Linear Regression 11.3 Properties of the Least Squares Estimators 11.4 Hypothesis Tests in Simple Linear Regression 11.5 Confidence Intervals 11.6 Prediction of New Observations 11.7 Adequacy of the Regression Model 11.8 Correlation 11.9 Regression on Transformed Variables 11.10 Logistic Regression CHAPTER 12: Multiple Linear Regression Exercises Exercises for Section 12.1 Exercises for Section 12.2 Exercises for Sections 12.3 and 12.4 Exercises for Section 12.5 Exercises for Section 12.6 Supplemental Exercises for Chapter 12 Important Terms and Concepts Study Resources Section 12.1 Multiple Linear Regression Model Section 12.2 Hypothesis Tests in Multiple Linear Regression Section 12.5 Model Adequacy Checking Section 12.6 Aspects of Multiple Regression Modeling Additional Study Resources Readings Content 12.1 Multiple Linear Regression Model 12.2 Hypothesis Tests in Multiple Linear Regression 12.3 Confidence Intervals in Multiple Linear Regression 12.4 Prediction of New Observations 12.5 Model Adequacy Checking 12.6 Aspects of Multiple Regression Modeling CHAPTER 13: Design and Analysis of Single-Factor Experiments: The Analysis of Variance Exercises Exercises for Section 13.2 Exercises for Section 13.3 Exercises for Section 13.4 Supplemental Exercises for Chapter 13 Important Terms and Concepts Study Resources Section 13.2 Completely Randomized Single-Factor Experiment Section 13.3 The Random-Effects Model Section 13.4 Randomized Complete Block Design Additional Study Resources Readings Content 13.1 Designing Engineering Experiments 13.2 Completely Randomized Single-Factor Experiment 13.3 The Random-Effects Model 13.4 Randomized Complete Block Design CHAPTER 14: Design of Experiments with Several Factors Exercises Exercises for Section 14.3 Exercises for Section 14.4 Exercises for Section 14.5 Exercises for Section 14.6 Exercises for Section 14.7 Exercises for Section 14.8 Exercises for Section 14.9 Exercises for Section 14.10 Exercises for Section 14.11 Supplemental Exercises for Chapter 14 Important Terms and Concepts Study Resources Section 14.3 Two-Factor Factorial Experiments Section 14.4 General Factorial Experiments Section 14.5 2k Factorial Designs Section 14.6 Single Replicate of the 2k Design Additional Study Resources Readings Content 14.1 Introduction 14.2 Factorial Experiments 14.3 Two-Factor Factorial Experiments 14.4 General Factorial Experiments 14.5 2 Factorial Designs 14.6 Single Replicate of the 2 Design 14.7 Addition of Center Points to a 2 Design 14.8 Blocking and Confounding in the 2 Design 14.9 One-Half Fraction of the 2 Design 14.10 Smaller Fractions: The 2 Fractional Factorial 14.11 Response Surface Methods and Designs CHAPTER 15: Statistical Quality Control Exercises Exercises for Section 15.3 Exercises for Section 15.4 Exercises for Section 15.5 Exercises for Section 15.6 Exercises for Section 15.7 Exercises for Section 15.8 Exercises for Section 15.10 Supplemental Exercises for Chapter 15 Important Terms and Concepts Study Resources Section 15.3 X and R or S Control Charts Section 15.4 Control Charts for Individual Measurements Section 15.5 Process Capability Section 15.6 Attribute Control Charts Section 15.7 Control Chart Performance Additional Study Resources Readings Content Bowl of Beads 15.1 Quality Improvement and Statistics 15.2 Introduction to Control Charts 15.3 X¯ and R or S Control Charts 15.4 Control Charts for Individual Measurements 15.5 Process Capability 15.6 Attribute Control Charts 15.7 Control Chart Performance 15.8 Time-Weighted Charts 15.9 Other SPC Problem-Solving Tools 15.10 Decision Theory 15.11 Implementing SPC Appendices Appendix A: Statistical Tables and Charts Appendix B: Bibliography Appendix C: Summary of Confidence Intervals and Hypothesis Testing Equations for One‐ and Two Sample Applications Glossary Index