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Probability and Statistics for Engineers and Scientists

ISBN: 9780534956103 | 0534956106
Edition: 1st
Format: Paperback
Publisher: Duxbury Press
Pub. Date: 2/26/1996

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SummaryTable of Contents
Dr. Hayter presents a careful, well-paced, and well-motivated introduction to probability and statistics designed for undergraduate students in scientific and technical disciplines. The presentation begins with probability and proceeds through coverage of data description and statistical inference. Hayter supports the concepts presented with a wealth of carefully developed examples. Numerous end-of-section exercises provide immediate opportunities for students to work with the concepts in the book.
Prefaceix
Probability Theory
1(72)
Probabilities
1(8)
... MORE
9(7)
Combinations of Events
16(21)
Conditional Probability
37(7)
Probabilities of Event Intersections
44(11)
Posterior Probabilities
55(6)
Counting Techniques
61(9)
Supplementary Problems
70(3)
Random Variables
73(86)
Discrete Random Variables
73(12)
Continuous Random Variables
85(13)
The Expectation of a Random Variable
98(13)
The Variance of a Random Variable
111(14)
Jointly Distributed Random Variables
125(18)
Combinations and Functions of Random Variables
143(13)
Supplementary Problems
156(3)
Discrete Probability Distributions
159(46)
The Binomial Distribution
159(16)
The Geometric and Negative Binomial Distributions
175(10)
The Hypergeometric Distribution
185(5)
The Poisson Distribution
190(8)
The Multinomial Distribution
198(5)
Supplementary Problems
203(2)
Continuous Probability Distributions
205(34)
The Uniform Distribution
205(4)
The Exponential Distribution
209(10)
The Gamma Distribution
219(7)
The Weibull Distribution
226(5)
The Beta Distribution
231(5)
Supplementary Problems
236(3)
The Normal Distribution
239(56)
Probability Calculations Using the Normal Distribution
239(16)
Linear Combinations of Normal Random Variables
255(11)
Approximating Distributions with the Normal Distribution
266(13)
Distributions Related to the Normal Distribution
279(14)
Supplementary Problems
293(2)
Descriptive Statistics
295(36)
Experimentation
295(8)
Data Presentation
303(12)
Sample Statistics
315(8)
Examples
323(7)
Supplementary Problems
330(1)
Statistical Estimation and Sampling Distributions
331(38)
Point Estimates
331(6)
Properties of Point Estimates
337(12)
Sampling Distributions
349(9)
Constructing Parameter Estimates
358(8)
Supplementary Problems
366(3)
Inferences on a Population Mean
369(62)
Confidence Intervals
369(18)
Hypothesis Testing
387(39)
Summary
426(3)
Supplementary Problems
429(2)
Comparing Two Population Means
431(48)
Introduction
431(10)
Analysis of Paired Samples
441(8)
Analysis of Independent Samples
449(23)
Summary
472(4)
Supplementary Problems
476(3)
Discrete Data Analysis
479(70)
Inferences on a Population Proportion
479(26)
Comparing Two Population Proportions
505(13)
Goodness of Fit Tests for One-Way Contingency Tables
518(16)
Testing for Independence in Two-Way Contingency Tables
534(12)
Supplementary Problems
546(3)
The Analysis of Variance
549(60)
One Factor Analysis of Variance
549(33)
Randomized Block Designs
582(24)
Supplementary Problems
606(3)
Simple Linear Regression and Correlation
609(74)
The Simple Linear Regression Model
609(10)
Fitting the Regression Line
619(14)
Inferences on the Slope Parameter β1
633(10)
Inferences on the Regression Line
643(6)
Prediction Intervals for Future Response Values
649(6)
The Analysis of Variance Table
655(6)
Residual Analysis
661(4)
Variable Transformations
665(7)
Correlation Analysis
672(6)
Supplementary Problems
678(5)
Multiple Linear Regression and Nonlinear Regression
683(56)
Introduction to Multiple Linear Regression
683(12)
Examples of Multiple Linear Regression
695(18)
Matrix Algebra Formulation of Multiple Linear Regression
713(11)
Evaluating Model Adequacy
724(7)
Nonlinear Regression
731(4)
Supplementary Problems
735(4)
Multifactor Experimental Design and Analysis
739(58)
Experiments with Two Factors
739(39)
Experiments with Three or More Factors
778(16)
Supplementary Problems
794(3)
Nonparametric Statistical Analysis
797(50)
The Analysis of a Single Population
798(26)
Comparing Two Populations
824(12)
Comparing Three or More Populations
836(8)
Supplementary Problems
844(3)
Quality Control Methods
847(36)
Introduction
847(1)
Statistical Process Control
847(8)
Variable Control Charts
855(11)
Attribute Control Charts
866(7)
Acceptance Sampling
873(7)
Supplementary Problems
880(3)
Reliability Analysis and Life Testing
883(24)
System Reliability
883(7)
Modeling Failure Rates
890(5)
Life Testing
895(9)
Supplementary Problems
904(3)
Tables907(10)
Table I Cumulative Distribution Function of the Standard Normal Distribution
907(2)
Table II Critical Points of the Chi-Square Distribution
909(1)
Table III Critical Points of the t-distribution
910(1)
Table IV Critical Points of the F-distribution
911(3)
Table V Critical Points α of the Studentized Range Distribution
914(2)
Table VI Critical Points dα, n for Kolmogorov and Kolmogorov-Smirnov Procedures
916(1)
Answers to Odd-Numbered Problems917(24)
Index941

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