Probability and Statistics for Engineers and Scientists (with CD-ROM)

by Hayter, Anthony J.

• ISBN13: 9780495107576
• ISBN10: 0495107573
• Edition: 3rd
• Format: Hardcover
• Copyright: 2006-02-03
• Publisher: Duxbury Press

Summary

The new edition of Anthony Hayter's book continues in the same student-oriented vein that has made previous editions successful. Because Tony Hayter teaches and conducts research at a premier engineering school, he is in touch with engineers daily and understands their vocabulary. This leads to a clear and more readable writing style that students understand and appreciate. Additionally, because of his intimacy with the professional community, Hayter includes many high-interest examples and datasets that keep students' attention throughout the term. PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS employs a flexible approach with regard to the use of computer tools. Because the book is not tied to a particular software package, instructors may choose the program that best suits their needs. However, the book does provide substantial computer output (using MINITAB and other programs) to give students the necessary practice in interpreting output. "Computer Note" sections offer tips for using various software packages to perform analysis of the datasets, which can be downloaded from the website. Through the use of extensive examples and datasets, the book illustrates the importance of statistical data collection and analysis for students in the fields of aerospace, biochemical, civil, electrical, environmental, industrial, mechanical, and textile engineering, as well as for students in physics, chemistry, computing, biology, management, and mathematics.

Table of Contents

Preface	x
Continuing Case Study: Microelectronic Solder Joints	xv
Probability Theory	1	(69)
Probabilities	1	(7)
Events	8	(7)
Combinations of Events	15	(18)
Conditional Probability	33	(7)
Probabilities of Event Intersections	40	(10)
Posterior Probabilities	50	(6)
Counting Techniques	56	(8)
Case Study: Microelectronic Solder Joints	64	(2)
Supplementary Problems	66	(4)
Random Variables	70	(75)
Discrete Random Variables	70	(10)
Continuous Random Variables	80	(12)
The Expectation of a Random Variable	92	(9)
The Variance of a Random Variable	101	(12)
Jointly Distributed Random Variables	113	(15)
Combinations and Functions of Random Variables	128	(13)
Case Study: Microelectronic Solder Joints	141	(1)
Supplementary Problems	142	(3)
Discrete Probability Distributions	145	(39)
The Binomial Distribution	145	(13)
The Geometric and Negative Binomial Distributions	158	(8)
The Hypergeometric Distribution	166	(5)
The Poisson Distribution	171	(6)
The Multinomial Distribution	177	(4)
Case Study: Microelectronic Solder Joints	181	(1)
Supplementary Problems	182	(2)
Continuous Probability Distributions	184	(30)
The Uniform Distribution	184	(4)
The Exponential Distribution	188	(9)
The Gamma Distribution	197	(5)
The Weibull Distribution	202	(5)
The Beta Distribution	207	(4)
Case Study: Microelectronic Solder Joints	211	(1)
Supplementary Problems	212	(2)
The Normal Distribution	214	(51)
Probability Calculations Using the Normal Distribution	214	(13)
Linear Combinations of Normal Random Variables	227	(11)
Approximating Distributions with the Normal Distribution	238	(11)
Distributions Related to the Normal Distribution	249	(11)
Case Study: Microelectronic Solder Joints	260	(1)
Supplementary Problems	261	(4)
Descriptive Statistics	265	(27)
Experimentation	265	(5)
Data Presentation	270	(8)
Sample Statistics	278	(8)
Examples	286	(4)
Case Study: Microelectronic Solder Joints	290	(1)
Supplementary Problems	290	(2)
Statistical Estimation and Sampling Distributions	292	(34)
Point Estimates	292	(5)
Properties of Point Estimates	297	(10)
Sampling Distributions	307	(9)
Constructing Parameter Estimates	316	(6)
Case Study: Microelectronic Solder Joints	322	(1)
Supplementary Problems	323	(3)
Inferences on a Population Mean	326	(55)
Confidence Intervals	326	(15)
Hypothesis Testing	341	(33)
Summary	374	(1)
Case Study: Microelectronic Solder Joints	375	(2)
Supplementary Problems	377	(4)
Comparing Two Population Means	381	(41)
Introduction	381	(8)
Analysis of Paired Samples	389	(5)
Analysis of Independent Samples	394	(20)
Summary	414	(2)
Case Study: Microelectronic Solder Joints	416	(2)
Supplementary Problems	418	(4)
Discrete Data Analysis	422	(64)
Inferences on a Population Proportion	422	(23)
Comparing Two Population Proportions	445	(11)
Goodness of Fit Tests for One-Way Contingency Tables	456	(15)
Testing for Independence in Two-Way Contingency Tables	471	(10)
Case Study: Microelectronic Solder Joints	481	(1)
Supplementary Problems	482	(4)
The Analysis of Variance	486	(47)
One-Factor Analysis of Variance	486	(25)
Randomized Block Designs	511	(18)
Case Study: Microelectronic Solder Joints	529	(2)
Supplementary Problems	531	(2)
Simple Linear Regression and Correlation	533	(62)
The Simple Linear Regression Model	533	(8)
Fitting the Regression Line	541	(10)
Inferences on the Slope Parameter β1	551	(8)
Inferences on the Regression Line	559	(6)
Prediction Intervals for Future Response Values	565	(4)
The Analysis of Variance Table	569	(6)
Residual Analysis	575	(5)
Variable Transformations	580	(4)
Correlation Analysis	584	(6)
Case Study: Microelectronic Solder Joints	590	(1)
Supplementary Problems	591	(4)
Multiple Linear Regression and Nonlinear Regression	595	(41)
Introduction to Multiple Linear Regression	595	(10)
Examples of Multiple Linear Regression	605	(10)
Matrix Algebra Formulation of Multiple Linear Regression	615	(9)
Evaluating Model Adequacy	624	(6)
Nonlinear Regression	630	(4)
Supplementary Problems	634	(2)
Multifactor Experimental Design and Analysis	636	(44)
Experiments with Two Factors	636	(29)
Experiments with Three or More Factors	665	(13)
Supplementary Problems	678	(2)
Nonparametric Statistical Analysis	680	(42)
The Analysis of a Single Population	681	(21)
Comparing Two Populations	702	(10)
Comparing Three or More Populations	712	(7)
Supplementary Problems	719	(3)
Quality Control Methods	722	(29)
Introduction	722	(1)
Statistical Process Control	722	(6)
Variable Control Charts	728	(10)
Attribute Control Charts	738	(6)
Acceptance Sampling	744	(5)
Supplementary Problems	749	(2)
Reliability Analysis and Life Testing	751	(21)
System Reliability	751	(6)
Modeling Failure Rates	757	(5)
Life Testing	762	(8)
Supplementary Problems	770	(2)
Tables	772	(9)
Answers to Odd-Numbered Problems	781	(22)
Index	803