Probability and Statistics for Engineering and the Sciences

by Devore, Jay L.

• ISBN13: 9780538733526
• ISBN10: 0538733527
• Edition: 8th
• Format: Hardcover
• Copyright: 2011-01-01
• Publisher: Duxbury Press

Summary

This comprehensive introduction to probability and statistics will give you the solid grounding you need no matter what your engineering specialty. Through the use of lively and realistic examples, the author helps you go beyond simply learning about statistics--you'll also learn how to put the statistical methods to use. In addition, rather than focusing on rigorous mathematical development and potentially overwhelming derivations, PROBABILITY AND STATISTICS FOR ENGINEERING AND THE SCIENCES emphasizes concepts, models, methodology, and applications that facilitate your understanding.

Table of Contents

Overview And Descriptive Statistics

Populations, Samples, and Processes

Pictorial and Tabular Methods in Descriptive Statistics

Measures of Location

Measures of Variability

Supplementary Exercises

Probability

Sample Spaces and Events

Axioms, Interpretations, and Properties of Probability

Counting Techniques

Conditional Probability

Independence

Supplementary Exercises

Discrete Random Variables And Probability

Random Variables

Probability Distributions for Discrete Random Variables

Expected Values

The Binomial Probability Distribution

Hypergeometric and Negative Binomial Distributions

The Poisson Probability Distribution

Supplementary Exercises

Continuous Random Variables And Probability Distributions

Probability Density Functions

Cumulative Distribution Functions and Expected Values

The Normal Distribution

The Exponential and Gamma Distributions

Other Continuous Distributions

Probability Plots

Supplementary Exercises

Joint Probability Distributions And Random Samples

Jointly Distributed Random Variables

Expected Values, Covariance, and Correlation

Statistics and Their Distributions

The Distribution of the Sample Mean

The Distribution of a Linear Combination

Supplementary Exercises

Point Estimation

Some General Concepts of Point Estimation

Methods of Point Estimation

Supplementary Exercises

Statistical Intervals Based On A Single Sample

Basic Properties of Confidence Intervals

Large-Sample Confidence Intervals for a Population Mean and Proportion

Intervals Based on a Normal Population Distribution

Confidence Intervals for the Variance and Standard Deviation of a Normal Population

Supplementary Exercises

Tests Of Hypotheses Based On A Single Sample

Hypotheses and Test Procedures

Tests About a Population Mean

Tests Concerning a Population Proportion

P-Values

Some Comments on Selecting a TeSt. Supplementary Exercises

Inferences Based On Two Samples

Tests and Confidence Intervals for a Difference Between Two Population Means

The Two-Sample t Test and Confidence Interval

Analysis of Paired Data

Inferences Concerning a Difference Between Population Proportions

Inferences Concerning Two Population Variances

Supplementary Exercises

The Analysis Of Variance

Single-Factor ANOVA

Multiple Comparisons in ANOVA

More on Single-Factor ANOVA

Supplementary Exercises

Multifactor Analysis Of Variance

Two-Factor ANOVA with Kij =

Two-Factor ANOVA with Kij =

Three-Factor ANOVA. 2p Factorial Experiments

Supplementary Exercises

Simple Linear Regression And Correlation

The Simple Linear Regression Model

Estimating Model Parameters

Inferences About the Slope Parameter ?1

Inferences Concerning ?Y-x* and the Prediction of Future Y Values

Correlation

Supplementary Exercises

Nonlinear And Multiple Regression

Aptness of the Model and Model Checking

Regression with Transformed Variables

Polynomial Regression

Multiple Regression Analysis

Other Issues in Multiple Regression

Supplementary Exercises

Goodness-Of-Fit Tests And Categorical Data Analysis

Goodness-of-Fit Tests When Category Probabilities Are Completely Specified

Goodness-of-Fit Tests for Composite Hypotheses

Two-Way Contingency Tables

Supplementary Exercises

Distribution-Free Procedures

The Wilcoxon Signed-Rank TeSt

The Wilcoxon Rank-Sum TeSt

Distribution-Free Confidence Intervals

Distribution-Free ANOVA

Supplementary Exercises

Quality Control Methods

General Comments on Control Charts

Control Charts for Process Location

Control Charts for Process Variation

Control Charts for Attributes

CUSUM Procedures

Acceptance Sampling

Supplementary Exercises

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