Probability and Statistics for Engineering and the Sciences

by Devore, Jay L.

• ISBN13: 9780534372811
• ISBN10: 0534372813
• Edition: 5th
• Format: Hardcover
• Copyright: 1999-12-09
• Publisher: Duxbury Press

Summary

This market-leading text provides a comprehensive introduction to probability models and statistical methods for students in engineering and the physical and natural sciences. It is a proven, accurate book with great examples from an outstanding author, Jay Devore. Through the use of lively and realistic examples with real data, students go beyond simply learning statistics and probability--they actually experience its potential.

Table of Contents

Overview and Descriptive Statistics	1	(51)
Introduction	1	(2)
Populations, Samples, and Processes	3	(8)
Pictorial and Tabular Methods in Descriptive Statistics	11	(17)
Measures of Location	28	(8)
Measures of Variability	36	(16)
Supplementary Exercises	48	(3)
Bibliography	51	(1)
Probability	52	(44)
Introduction	52	(1)
Sample Spaces and Events	53	(5)
Axioms, Interpretations, and Properties of Probability	58	(9)
Counting Techniques	67	(8)
Conditional Probability	75	(11)
Independence	86	(10)
Supplementary Exercises	92	(3)
Bibliography	95	(1)
Discrete Random Variables and Probability Distributions	96	(47)
Introduction	96	(1)
Random Variables	96	(4)
Probability Distributions for Discrete Random Variables	100	(10)
Expected Values of Discrete Random Variables	110	(9)
The Binomial Probability Distribution	119	(8)
Hypergeometric and Negative Binomial Distributions	127	(7)
The Poisson Probability Distribution	134	(9)
Supplementary Exercises	139	(3)
Bibliography	142	(1)
Continuous Random Variables and Probability Distributions	143	(58)
Introduction	143	(1)
Continuous Random Variables and Probability Density Functions	143	(6)
Cumulative Distribution Functions and Expected Values	149	(9)
The Normal Distribution	158	(13)
The Gamma Distribution and Its Relatives	171	(7)
Other Continuous Distributions	178	(7)
Probability Plots	185	(16)
Supplementary Exercises	196	(4)
Bibliography	200	(1)
Joint Probability Distributions and Random Samples	201	(48)
Introduction	201	(1)
Jointly Distributed Random Variables	202	(13)
Expected Values, Covariance, and Correlation	215	(6)
Statistics and Their Distributions	221	(12)
The Distribution of the Sample Mean	233	(6)
The Distribution of a Linear Combination	239	(10)
Supplementary Exercises	245	(3)
Bibliography	248	(1)
Point Estimation	249	(28)
Introduction	249	(1)
Some General Concepts of Point Estimation	250	(15)
Methods of Point Estimation	265	(12)
Supplementary Exercises	274	(1)
Bibliography	275	(2)
Statistical Intervals Based on a Single Sample	277	(33)
Introduction	277	(1)
Basic Properties of Confidence Intervals	278	(9)
Large-Sample Confidence Intervals for a Population Mean and Proportion	287	(8)
Intervals Based on a Normal Population Distribution	295	(9)
Confidence Intervals for the Variance and Standard Deviation of a Normal Population	304	(6)
Supplementary Exercises	307	(2)
Bibliography	309	(1)
Tests of Hypotheses Based on a Single Sample	310	(44)
Introduction	310	(1)
Hypotheses and Test Procedures	311	(10)
Tests About a Population Mean	321	(13)
Tests Concerning a Population Proportion	334	(5)
P-Values	339	(8)
Some Comments on Selecting a Test Procedure	347	(7)
Supplementary Exercises	350	(3)
Bibliography	353	(1)
Inferences Based on Two Samples	354	(48)
Introduction	354	(1)
z Tests and Confidence Intervals for a Difference Between Two Population Means	355	(11)
The Two-Sample t Test and Confidence Interval	366	(8)
Analysis of Paired Data	374	(10)
Inferences Concerning a Difference Between Population Proportions	384	(8)
Inferences Concerning Two Population Variances	392	(10)
Supplementary Exercises	396	(5)
Bibliography	401	(1)
The Analysis of Variance	402	(31)
Introduction	402	(1)
Single-Factor ANOVA	403	(11)
Multiple Comparisons in ANOVA	414	(6)
More on Single-Factor ANOVA	420	(13)
Supplementary Exercises	430	(2)
Bibliography	432	(1)
Multifactor Analysis of Variance	433	(55)
Introduction	433	(1)
Two-Factor ANOVA with Kij = 1	434	(14)
Two-Factor ANOVA with Kij > 1	448	(9)
Three-Factor ANOVA	457	(11)
2p Factorial Experiments	468	(20)
Supplementary Exercises	483	(3)
Bibliography	486	(2)
Simple Linear Regression and Correlation	488	(55)
Introduction	488	(1)
The Simple Linear Regression Model	489	(8)
Estimating Model Parameters	497	(15)
Inferences About the Slope Parameter β	512	(8)
Inferences Concerning μy.x* and the Prediction of Future Y Values	520	(8)
Correlation	528	(15)
Supplementary Exercises	538	(4)
Bibliography	542	(1)
Nonlinear and Multiple Regression	543	(73)
Introduction	543	(1)
Aptness of the Model and Model Checking	544	(8)
Regression with Transformed Variables	552	(10)
Polynomial Regression	562	(11)
Multiple Regression Analysis	573	(24)
Other Issues in Multiple Regression	597	(19)
Supplementary Exercises	610	(5)
Bibliography	615	(1)
The Analysis of Categorical Data	616	(33)
Introduction	616	(1)
Goodness-of-Fit Tests When Category Probabilities Are Completely Specified	617	(8)
Goodness of Fit for Composite Hypotheses	625	(13)
Two-Way Contingency Tables	638	(11)
Supplementary Exercises	646	(2)
Bibliography	648	(1)
Distribution-Free Procedures	649	(29)
Introduction	649	(1)
The Wilcoxon Signed-Rank Test	650	(9)
The Wilcoxon Rank-Sum Test	659	(7)
Distribution-Free Confidence Intervals	666	(5)
Distribution-Free ANOVA	671	(7)
Supplementary Exercises	675	(2)
Bibliography	677	(1)
Quality Control Methods	678	(39)
Introduction	678	(1)
General Comments on Control Charts	679	(2)
Control Charts for Process Location	681	(9)
Control Charts for Process Variation	690	(5)
Control Charts for Attributes	695	(5)
CUSUM Procedures	700	(9)
Acceptance Sampling	709	(8)
Supplementary Exercises	715	(1)
Bibliography	716	(1)
Appendix Tables	717	(28)
A.1 Cumulative Binomial Probabilities	718	(2)
A.2 Cumulative Poisson Probabilities	720	(2)
A.3 Standard Normal Curve Areas	722	(2)
A.4 The Incomplete Gamma Function	724	(1)
A.5 Critical Values for t Distributions	725	(1)
A.6 Tolerance Critical Values for Normal Population Distributions	726	(1)
A.7 Critical Values for Chi-Squared Distributions	727	(1)
A.8 t Curve Tail Areas	728	(2)
A.9 Critical Values for F Distributions	730	(6)
A.10 Critical Values for Studentized Range Distributions	736	(1)
A.11 Chi-Squared Curve Tail Areas	737	(2)
A.12 Critical Values for the Ryan-Joiner Test of Normality	739	(1)
A.13 Critical Values for the Wilcoxon Signed-Rank Test	740	(1)
A.14 Critical Values for the Wilcoxon Rank-Sum Test	741	(1)
A.15 Critical Values for the Wilcoxon Signed-Rank Interval	742	(1)
A.16 Critical Values for the Wilcoxon Rank-Sum Interval	743	(1)
A.17 β Curves for t Tests	744	(1)
Answers to Odd-Numbered Exercises	745	(20)
Index	765