Probability and Statistics for Engineers and Scientists,9780534956103

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Probability and Statistics for Engineers and Scientists

by Hayter, Anthony J.

Edition:

1st

ISBN13:

9780534956103

ISBN10:

0534956106

Format:

Paperback

Pub. Date:

2/26/1996

Publisher(s):

Duxbury Press

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Summary

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.

Preface

Probability Theory

(72)

Probabilities

(8)

Events

(7)

Combinations of Events

(21)

Conditional Probability

(7)

Probabilities of Event Intersections

(11)

Posterior Probabilities

(6)

Counting Techniques

(9)

Supplementary Problems

(3)

Random Variables

(86)

Discrete Random Variables

(12)

Continuous Random Variables

(13)

The Expectation of a Random Variable

(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)

Tables

907

(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 Problems

917

(24)

Index

941

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Probability and Statistics for Engineers and Scientists

9780534956103

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Table of Contents