Probability and Statistics for Engineers 9th Edition by Richard Johnson, Irwin Miller, John Freund ISBN 1292176017 9781292176017

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ISBN 10: 1292176017
ISBN 13: 9781292176017
Author:  Richard Johnson, Irwin Miller, John Freund

The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you’ll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed. For an introductory or one or two semester courses 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 emphasises designed experiments, especially two-level factorial design. The Ninth Edition includes several new datasets and examples showing application of statistics in scientific investigations, familiarising students with the latest methods, and readying them to become real-world engineers and scientists.

Probability and Statistics for Engineers 9th Table of contents:

Chapter 1 Introduction

1.1 Why Study Statistics?

1.2 Modern Statistics

1.3 Statistics and Engineering

1.4 The Role of the Scientist and Engineer in Quality Improvement

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

1.6 Two Basic Concepts—Population and Sample

Review Exercises

Key Terms

Chapter 2 Organization and Description of Data

2.1 Pareto Diagrams and Dot Diagrams

2.2 Frequency Distributions

2.3 Graphs of Frequency Distributions

2.4 Stem-and-Leaf Displays

2.5 Descriptive Measures

2.6 Quartiles and Percentiles

2.7 The Calculation of x and s

2.8 A Case Study: Problems with Aggregating Data

Review Exercises

Key Terms

Chapter 3 Probability

3.1 Sample Spaces and Events

3.2 Counting

3.3 Probability

3.4 The Axioms of Probability

3.5 Some Elementary Theorems

3.6 Conditional Probability

3.7 Bayes’ Theorem

Review Exercises

Key Terms

Chapter 4 Probability Distributions

4.1 Random Variables

4.2 The Binomial Distribution

4.3 The Hypergeometric Distribution

4.4 The Mean and the Variance of a Probability Distribution

4.5 Chebyshev’s Theorem

4.6 The Poisson Distribution and Rare Events

4.7 Poisson Processes

4.8 The Geometric and Negative Binomial Distribution

4.9 The Multinomial Distribution

4.10 Simulation

Review Exercises

Key Terms

Chapter 5 Probability Densities

5.1 Continuous Random Variables

5.2 The Normal Distribution

5.3 The Normal Approximation to the Binomial Distribution

5.4 Other Probability Densities

5.5 The Uniform Distribution

5.6 The Log-Normal Distribution

5.7 The Gamma Distribution

5.8 The Beta Distribution

5.9 TheWeibull Distribution

5.10 Joint Distributions—Discrete and Continuous

5.11 Moment Generating Functions

5.12 Checking If the Data Are Normal

5.13 Transforming Observations to Near Normality

5.14 Simulation

Review Exercises

Key Terms

Chapter 6 Sampling Distributions

6.1 Populations and Samples

6.2 The Sampling Distribution of the Mean (σ known)

6.3 The Sampling Distribution of the Mean (σ unknown)

6.4 The Sampling Distribution of the Variance

6.5 Representations of the Normal Theory Distributions

6.6 The Moment Generating Function Method to Obtain Distributions

6.7 Transformation Methods to Obtain Distributions

Review Exercises

Key Terms

Chapter 7 Inferences Concerning a Mean

7.1 Statistical Approaches to Making Generalizations

7.2 Point Estimation

7.3 Interval Estimation

7.4 Maximum Likelihood Estimation

7.5 Tests of Hypotheses

7.6 Null Hypotheses and Tests of Hypotheses

7.7 Hypotheses Concerning One Mean

7.8 The Relation between Tests and Confidence Intervals

7.9 Power, Sample Size, and Operating Characteristic Curves

Review Exercises

Key Terms

Chapter 8 Comparing Two Treatments

8.1 Experimental Designs for Comparing Two Treatments

8.2 Comparisons—Two Independent Large Samples

8.3 Comparisons—Two Independent Small Samples

8.4 Matched Pairs Comparisons

8.5 Design Issues—Randomization and Pairing

Review Exercises

Key Terms

Chapter 9 Inferences Concerning Variances

9.1 The Estimation of Variances

9.2 Hypotheses Concerning One Variance

9.3 Hypotheses Concerning Two Variances

Review Exercises

Key Terms

Chapter 10 Inferences Concerning Proportions

10.1 Estimation of Proportions

10.2 Hypotheses Concerning One Proportion

10.3 Hypotheses Concerning Several Proportions

10.4 Analysis of r x c Tables

10.5 Goodness of Fit

Review Exercises

Key Terms

Chapter 11 Regression Analysis

11.1 The Method of Least Squares

11.2 Inferences Based on the Least Squares Estimators

11.3 Curvilinear Regression

11.4 Multiple Regression

11.5 Checking the Adequacy of the Model

11.6 Correlation

11.7 Multiple Linear Regression (Matrix Notation)

Review Exercises

Key Terms

Chapter 12 Analysis of Variance

12.1 Some General Principles

12.2 Completely Randomized Designs

12.3 Randomized-Block Designs

12.4 Multiple Comparisons

12.5 Analysis of Covariance

Review Exercises

Key Terms

Chapter 13 Factorial Experimentation

13.1 Two-Factor Experiments

13.2 Multifactor Experiments

13.3 The Graphic Presentation of 22 and 23 Experiments

13.4 Response Surface Analysis

Review Exercises

Key Terms

Chapter 14 Nonparametric Tests

14.1 Introduction

14.2 The Sign Test

14.3 Rank-Sum Tests

14.4 Correlation Based on Ranks

14.5 Tests of Randomness

14.6 The Kolmogorov-Smirnov and Anderson-Darling Tests

Review Exercises

Key Terms

Chapter 15 The Statistical Content of Quality-Improvement Programs

15.1 Quality-Improvement Programs

15.2 Starting a Quality-Improvement Program

15.3 Experimental Designs for Quality

15.4 Quality Control

15.5 Control Charts for Measurements

15.6 Control Charts for Attributes

15.7 Tolerance Limits

Review Exercises

Key Terms

Chapter 16 Application to Reliability and Life Testing

16.1 Reliability

16.2 Failure-Time Distribution

16.3 The Exponential Model in Life Testing

16.4 The Weibull Model in Life Testing

Review Exercises

Key Terms

Appendix A Bibliography

Appendix B Statistical Tables

Appendix C Using the R Software Program

Introduction to R

Entering Data

Arithmetic Operations

Descriptive Statistics

Probability Distributions

Normal Probability Calculations

Sampling Distributions

Confidence Intervals and Tests of Means

Inference about Proportions

Regression

One-Way Analysis of Variance (ANOVA)

Appendix D Answers to Odd-Numbered Exercises

Index

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