Probability and Statistics for Engineering and the Sciences (with CD-ROM and InfoTrac)

by Devore, Jay L.

• ISBN13: 9780534399337
• ISBN10: 0534399339
• Edition: 6th
• Format: Hardcover
• Copyright: 2003-06-30
• Publisher: Duxbury Press

Summary

This market-leading text provides a comprehensive introduction to probability and statistics 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, students go beyond simply learning about statistics--they actually experience its potential. The book emphasizes concepts, models, methodology and applications, as opposed to rigorous mathematical development and derivations.

Table of Contents

Overview and Descriptive Statistics	p. 1
Introduction	p. 1
Populations, Samples, and Processes	p. 3
Pictorial and Tabular Methods in Descriptive Statistics	p. 11
Measures of Location	p. 28
Measures of Variability	p. 36
Supplementary Exercises	p. 48
Bibliography	p. 51
Probability	p. 52
Introduction	p. 52
Sample Spaces and Events	p. 53
Axioms, Interpretations, and Properties of Probability	p. 58
Counting Techniques	p. 67
Conditional Probability	p. 75
Independence	p. 86
Supplementary Exercises	p. 92
Bibliography	p. 96
Discrete Random Variables and Probability Distributions	p. 97
Introduction	p. 97
Random Variables	p. 98
Probability Distributions for Discrete Random Variables	p. 101
Expected Values of Discrete Random Variables	p. 111
The Binomial Probability Distribution	p. 120
Hypergeometric and Negative Binomial Distributions	p. 128
The Poisson Probability Distribution	p. 135
Supplementary Exercises	p. 140
Bibliography	p. 144
Continuous Random Variables and Probability Distributions	p. 145
Introduction	p. 145
Continuous Random Variables and Probability Density Functions	p. 146
Cumulative Distribution Functions and Expected Values	p. 152
The Normal Distribution	p. 160
The Gamma Distribution and Its Relatives	p. 174
Other Continuous Distributions	p. 181
Probability Plots	p. 188
Supplementary Exercises	p. 199
Bibliography	p. 204
Joint Probability Distributions and Random Samples	p. 205
Introduction	p. 205
Jointly Distributed Random Variables	p. 206
Expected Values, Covariance, and Correlation	p. 219
Statistics and Their Distributions	p. 225
The Distribution of the Sample Mean	p. 237
The Distribution of a Linear Combination	p. 243
Supplementary Exercises	p. 249
Bibliography	p. 252
Point Estimation	p. 253
Introduction	p. 253
Some General Concepts of Point Estimation	p. 254
Methods of Point Estimation	p. 269
Supplementary Exercises	p. 278
Bibliography	p. 279
Statistical Intervals Based on a Single Sample	p. 281
Introduction	p. 281
Basic Properties of Confidence Intervals	p. 282
Large-Sample Confidence Intervals for a Population Mean and Proportion	p. 291
Intervals Based on a Normal Population Distribution	p. 299
Confidence Intervals for the Variance and Standard Deviation of a Normal Population	p. 308
Supplementary Exercises	p. 311
Bibliography	p. 314
Tests of Hypotheses Based on a Single Sample	p. 315
Introduction	p. 315
Hypotheses and Test Procedures	p. 316
Tests About a Population Mean	p. 326
Tests Concerning a Population Proportion	p. 339
P-Values	p. 344
Some Comments on Selecting a Test Procedure	p. 352
Supplementary Exercises	p. 356
Bibliography	p. 359
Inferences Based on Two Samples	p. 354
Introduction	p. 354
z Tests and Confidence Intervals for a Difference Between Two Population Means	p. 361
The Two-Sample t Test and Confidence Interval	p. 372
Analysis of Paired Data	p. 381
Inferences Concerning a Difference Between Population Proportions	p. 391
Inferences Concerning Two Population Variances	p. 399
Supplementary Exercises	p. 403
Bibliography	p. 409
The Analysis of Variance	p. 410
Introduction	p. 410
Single-Factor ANOVA	p. 411
Multiple Comparisons in ANOVA	p. 422
More on Single-Factor ANOVA	p. 428
Supplementary Exercises	p. 438
Bibliography	p. 440
Multifactor Analysis of Variance	p. 441
Introduction	p. 441
Two-Factor ANOVA with K[subscript ij] = 1	p. 442
Two-Factor ANOVA with K[subscript ij] [greater than sign] 1	p. 456
Three-Factor ANOVA	p. 465
2[superscript p] Factorial Experiments	p. 476
Supplementary Exercises	p. 491
Bibliography	p. 494
Simple Linear Regression and Correlation	p. 496
Introduction	p. 496
The Simple Linear Regression Model	p. 497
Estimating Model Parameters	p. 505
Inferences About the Slope Parameter beta[subscript 1]	p. 520
Inferences Concerning [mu subscript Y[middle dot]x*] and the Prediction of Future Y Values	p. 530
Correlation	p. 538
Supplementary Exercises	p. 549
Bibliography	p. 554
Nonlinear and Multiple Regression	p. 555
Introduction	p. 555
Aptness of the Model and Model Checking	p. 556
Regression with Transformed Variables	p. 564
Polynomial Regression	p. 576
Multiple Regression Analysis	p. 587
Other Issues in Multiple Regression	p. 612
Supplementary Exercises	p. 626
Bibliography	p. 632
Goodness-of-Fit Tests and Categorical Data Analysis	p. 633
Introduction	p. 633
Goodness-of-Fit Tests When Category Probabilities Are Completely Specified	p. 634
Goodness-of-Fit Tests for Composite Hypotheses	p. 642
Two-Way Contingency Tables	p. 655
Supplementary Exercises	p. 663
Bibliography	p. 666
Distribution-Free Procedures	p. 667
Introduction	p. 667
The Wilcoxon Signed-Rank Test	p. 668
The Wilcoxon Rank-Sum Test	p. 677
Distribution-Free Confidence Intervals	p. 684
Distribution-Free ANOVA	p. 689
Supplementary Exercises	p. 693
Bibliography	p. 695
Quality Control Methods	p. 696
Introduction	p. 696
General Comments on Control Charts	p. 697
Control Charts for Process Location	p. 699
Control Charts for Process Variation	p. 708
Control Charts for Attributes	p. 713
CUSUM Procedures	p. 718
Acceptance Sampling	p. 727
Supplementary Exercises	p. 733
Bibliography	p. 734
Tables	p. 735
Cumulative Binomial Probabilities	p. 736
Cumulative Poisson Probabilities	p. 738
Standard Normal Curve Areas	p. 740
The Incomplete Gamma Function	p. 742
Critical Values for t Distributions	p. 743
Tolerance Critical Values for Normal Population Distributions	p. 744
Critical Values for Chi-Squared Distributions	p. 745
t Curve Tail Areas	p. 746
Critical Values for F Distributions	p. 748
Critical Values for Studentized Range Distributions	p. 754
Chi-Squared Curve Tail Areas	p. 755
Critical Values for the Ryan-Joiner Test of Normality	p. 757
Critical Values for the Wilcoxon Signed-Rank Test	p. 758
Critical Values for the Wilcoxon Rank-Sum Test	p. 759
Critical Values for the Wilcoxon Signed-Rank Interval	p. 760
Critical Values for the Wilcoxon Rank-Sum Interval	p. 761
[beta] Curves for t Tests	p. 762
Answers to Odd-Numbered Exercises	p. 763
Index	p. 785
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