Applied Statistics and Probability for Engineers, 6th Edition By Douglas Montgomery | Solutions Manual | All Chapters 2-15
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The Applied Statistics and Probability for Engineers, 6th Edition by Douglas C. Montgomery and George C. Runger is organized into 15 chapters (with a 16-chapter layout in some global variations). It balances foundational probability theory with practical statistical methodologies commonly utilized across engineering fields. [1, 2, 3, 4, 5]
Part I: Introduction and Probability
- Chapter 1: The Role of Statistics in Engineering – Discusses the engineering method, statistical thinking, collecting data (retrospective, observational, and designed experiments), and empirical modeling. [1]
- Chapter 2: Probability – Covers sample spaces, events, counting techniques (permutations and combinations), axioms of probability, conditional probability, independence, and Bayes' theorem. [1]
- Chapter 3: Discrete Random Variables and Probability Distributions – Explores probability mass functions (PMFs), cumulative distribution functions (CDFs), expected mean, variance, and specific distributions (Binomial, Geometric, Negative Binomial, Hypergeometric, and Poisson). [1, 2]
- Chapter 4: Continuous Random Variables and Probability Distributions – Explores probability density functions (PDFs) and specific distributions (Normal, Exponential, Gamma, Weibull, and Beta). [1]
- Chapter 5: Joint Probability Distributions – Covers two or more random variables, marginal probability distributions, independence, covariance, correlation, and linear combinations of random variables. [1, 2, 3]
Part II: Data Description and Statistical Inference
- Chapter 6: Descriptive Statistics – Teaches random sampling and data description techniques such as stem-and-leaf plots, histograms, box plots, and time-series plots.
- Chapter 7: Sampling Distributions and Point Estimation of Parameters – Outlines the Central Limit Theorem, general sampling distributions, and point estimation.
- Chapter 8: Statistical Intervals for a Single Sample – Covers confidence intervals, prediction intervals, and tolerance intervals for a single population parameter (mean, variance, and proportion).
- Chapter 9: Tests of Hypotheses for a Single Sample – Explains hypothesis testing steps, P-values, Type I and Type II errors, and power, with a 6th-edition emphasis on equivalence testing and bootstrap methods.
- Chapter 10: Statistical Inference for Two Samples – Covers testing hypotheses and creating confidence intervals when comparing two population means, two variances, or two proportions. [1, 2, 3]
Part III: Regression, Experimental Design, and Quality Control
- Chapter 11: Simple Linear Regression and Correlation – Explores building empirical models, least squares estimation, hypothesis testing in regression, and checking model adequacy.
- Chapter 12: Multiple Linear Regression – Expands regression analysis to multiple predictors, utilizing matrix algebra to analyze complex datasets.
- Chapter 13: Design and Analysis of Single-Factor Experiments: The Analysis of Variance (ANOVA) – Covers completely randomized experimental designs, fixed and random effects, and residual analysis.
- Chapter 14: Design of Experiments with Several Factors – Teaches factorial designs, 2k factorial designs, blocking, fractional factorials, and response surface methods.
- Chapter 15: Statistical Quality Control – Introduces Statistical Process Control (SPC), focusing heavily on the execution and implementation of Shewhart control charts (such as X-bar, R, S, and p charts).
- (Note: Some extended/SI versions include a standalone chapter on Nonparametric Statistics, focusing on sign tests and Wilcoxon rank-sum tests before or alongside Quality Control). [1, 2, 3, 4]
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