PROBABILITY AND STATISTICS FOR ENGINEERING AND THE SCIENCES 9th EDITION BY JAY L. DEVORE

794 PAGES (478296 WORDS) Mathematics Text Book
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Overview and Descriptive Statistics

Introduction  

Populations, Samples, and Processes  

Pictorial and Tabular Methods in Descriptive Statistics   

Measures of Location   

Measures of Variability   

Supplementary Exercises   

Bibliography   


Probability

Introduction   

Sample Spaces and Events   

Axioms, Interpretations, and Properties of Probability   

Counting Techniques 

Conditional Probability   

Independence   

Supplementary Exercises   

Bibliography   


Discrete Random Variables and Probability Distributions

Introduction   

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    

Bibliography    


Continuous Random Variables and Probability

Distributions

Introduction    

Probability Density Functions    

Cumulative Distribution Functions and Expected Values    

The Normal Distribution    

The Exponential and Gamma Distributions    

Other Continuous Distributions    

Probability Plots    

 Supplementary Exercises    

 Bibliography    


Joint Probability Distributions and Random Samples

Introduction    

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    

Bibliography    


Point Estimation

Introduction 

Some General Concepts of Point Estimation 

Methods of Point Estimation    

Supplementary Exercises   

Bibliography   

  

Statistical Intervals Based on a Single Sample

Introduction   

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    

Bibliography    


Tests of Hypotheses Based on a Single Sample

Introduction    

Hypotheses and Test Procedures    

Tests for Hypotheses about a Population Mean    

The One-Sample t Test    

Tests Concerning a Population Proportion    

Further Aspects of Hypothesis Testing    

Supplementary Exercises    

Bibliography    


Inferences Based on Two Samples

Introduction    

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    

Bibliography 


The Analysis of Variance

Introduction

Single-Factor ANOVA

Multiple Comparisons in ANOVA

More on Single-Factor ANOVA

Supplementary Exercises

Bibliography


Multifactor Analysis of Variance

Introduction

Two-Factor ANOVA with Kij

Two-Factor ANOVA with Kij

Three-Factor ANOVA

Factorial Experiments

Supplementary Exercises

Bibliography 


Simple Linear Regression and Correlation

Introduction 

The Simple Linear Regression Model

Estimating Model Parameters

Inferences About the Slope Parameter b 

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

Correlation 

Supplementary Exercises 

Bibliography 


Nonlinear and Multiple Regression

Introduction    

Assessing Model Adequacy    

Regression with Transformed Variables    

Polynomial Regression    

Multiple Regression Analysis    

Other Issues in Multiple Regression    

Supplementary Exercises    

Bibliography    


Goodness-of-Fit Tests and Categorical Data Analysis

Introduction    

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

Goodness-of-Fit Tests for Composite Hypotheses   

Two-Way Contingency Tables    

Supplementary Exercises    

Bibliography    


Distribution-Free Procedures

Introduction    

The Wilcoxon Signed-Rank Test    

The Wilcoxon Rank-Sum Test    

Distribution-Free Confidence Intervals    

Distribution-Free ANOVA    

Supplementary Exercises    

Bibliography    


Quality Control Methods

Introduction    

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    

Bibliography    

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