Description
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- 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
- End User License Agreement
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