Test Bank For Probability and Statistics for Engineering and the Sciences 8th Edition by Jay L. Devore
Contents
1 Overview and Descriptive Statistics
Introduction 1
1.1 Populations, Samples, and Processes 2
1.2 Pic
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Test Bank For Probability and Statistics for Engineering and the Sciences 8th Edition by Jay L. Devore
Contents
1 Overview and Descriptive Statistics
Introduction 1
1.1 Populations, Samples, and Processes 2
1.2 Pictorial and Tabular Methods in Descriptive Statistics 12
1.3 Measures of Location 28
1.4 Measures of Variability 35
Supplementary Exercises 46
Bibliography 49
2 Probability
Introduction 50
2.1 Sample Spaces and Events 51
2.2 Axioms, Interpretations, and Properties of Probability 55
2.3 Counting Techniques 64
2.4 Conditional Probability 73
2.5 Independence 83
Supplementary Exercises 88
Bibliography 91
Introduction 92
3.1 Random Variables 93
3.2 Probability Distributions for Discrete Random Variables 96
3.3 Expected Values 106
3.4 The Binomial Probability Distribution 114
3.5 Hypergeometric and Negative Binomial Distributions 122
3.6 The Poisson Probability Distribution 128
Supplementary Exercises 133
Bibliography 136
3 Discrete Random Variables
and Probability Distributions
Introduction 137
4.1 Probability Density Functions 138
4.2 Cumulative Distribution Functions and Expected Values 143
4.3 The Normal Distribution 152
4.4 The Exponential and Gamma Distributions 165
4.5 Other Continuous Distributions 171
4.6 Probability Plots 178
Supplementary Exercises 188
Bibliography 192
Introduction 193
5.1 Jointly Distributed Random Variables 194
5.2 Expected Values, Covariance, and Correlation 206
5.3 Statistics and Their Distributions 212
5.4 The Distribution of the Sample Mean 223
5.5 The Distribution of a Linear Combination 230
Supplementary Exercises 235
Bibliography 238
6 Point Estimation
7 Statistical Intervals Based on a Single Sample
Introduction 239
6.1 Some General Concepts of Point Estimation 240
6.2 Methods of Point Estimation 255
Supplementary Exercises 265
Bibliography 266
Introduction 267
7.1 Basic Properties of Confidence Intervals 268
7.2 Large-Sample Confidence Intervals for a Population Mean
and Proportion 276
4 Continuous Random Variables
and Probability Distributions
5 Joint Probability Distributions
and Random Samples
viii Contents
7.3 Intervals Based on a Normal Population Distribution 285
7.4 Confidence Intervals for the Variance and Standard Deviation
of a Normal Population 294
Supplementary Exercises 297
Bibliography 299
8 Tests of Hypotheses Based on a Single Sample
Introduction 300
8.1 Hypotheses and Test Procedures 301
8.2 Tests About a Population Mean 310
8.3 Tests Concerning a Population Proportion 323
8.4 P-Values 328
8.5 Some Comments on Selecting a Test 339
Supplementary Exercises 342
Bibliography 344
9 Inferences Based on Two Samples
Introduction 345
9.1 z Tests and Confidence Intervals for a Difference Between
Two Population Means 346
9.2 The Two-Sample t Test and Confidence Interval 357
9.3 Analysis of Paired Data 365
9.4 Inferences Concerning a Difference Between Population Proportions 375
9.5 Inferences Concerning Two Population Variances 382
Supplementary Exercises 386
Bibliography 390
10 The Analysis of Variance
Introduction 391
10.1 Single-Factor ANOVA 392
10.2 Multiple Comparisons in ANOVA 402
10.3 More on Single-Factor ANOVA 408
Supplementary Exercises 417
Bibliography 418
Contents ix
11 Multifactor Analysis of Variance
Introduction 419
11.1 Two-Factor ANOVA with Kij 1 420
11.2 Two-Factor ANOVA with Kij 1 433
11.3 Three-Factor ANOVA 442
11.4 2p Factorial Experiments 451
Supplementary Exercises 464
Bibliography 467
12 Simple Linear Regression and Correlation
Introduction 468
12.1 The Simple Linear Regression Model 469
12.2 Estimating Model Parameters 477
12.3 Inferences About the Slope Parameter 1 490
12.4 Inferences Concerning and the Prediction
of Future Y Values 499
12.5 Correlation 508
Supplementary Exercises 518
Bibliography 522
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13 Nonlinear and Multiple Regression
Introduction 523
13.1 Assessing Model Adequacy 524
13.2 Regression with Transformed Variables 531
13.3 Polynomial Regression 543
13.4 Multiple Regression Analysis 553
13.5 Other Issues in Multiple Regression 574
Supplementary Exercises 588
Bibliography 593
14 Goodness-of-Fit Tests and Categorical Data Analysis
Introduction 594
14.1 Goodness-of-Fit Tests When Category Probabilities
Are Completely Specified 595
x Contents
14.2 Goodness-of-Fit Tests for Composite Hypotheses 602
14.3 Two-Way Contingency Tables 613
Supplementary Exercises 621
Bibliography 624
15 Distribution-Free Procedures
Introduction 625
15.1 The Wilcoxon Signed-Rank Test 626
15.2 The Wilcoxon Rank-Sum Test 634
15.3 Distribution-Free Confidence Intervals 640
15.4 Distribution-Free ANOVA 645
Supplementary Exercises 649
Bibliography 650
16 Quality Control Methods
Introduction 651
16.1 General Comments on Control Charts 652
16.2 Control Charts for Process Location 654
16.3 Control Charts for Process Variation 663
16.4 Control Charts for Attributes 668
16.5 CUSUM Procedures 672
16.6 Acceptance Sampling 680
Supplementary Exercises 686
Bibliography 687
Appendix Tables
A.1 Cumulative Binomial Probabilities A-2
A.2 Cumulative Poisson Probabilities A-4
A.3 Standard Normal Curve Areas A-6
A.4 The Incomplete Gamma Function A-8
A.5 Critical Values for t Distributions A-9
A.6 Tolerance Critical Values for Normal Population Distributions A-10
A.7 Critical Values for Chi-Squared Distributions A-11
A.8 t Curve Tail Areas A-12
A.9 Critical Values for F Distributions A-14
A.10 Critical Values for Studentized Range Distributions A-20
Contents xi
A.11 Chi-Squared Curve Tail Areas A-21
A.12 Critical Values for the Ryan-Joiner Test of Normality A-23
A.13 Critical Values for the Wilcoxon Signed-Rank Test A-24
A.14 Critical Values for the Wilcoxon Rank-Sum Test A-25
A.15 Critical Values for the Wilcoxon Signed-Rank Interval A-26
A.16 Critical Values for the Wilcoxon Rank-Sum Interval A-27
A.17 Curves for t Tests A-28
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