About the Author 

vii  
Preface 

ix  
Data Sources 

xxviii  


1  (38) 


2  (37) 

Chapter Outline and General Objectives 


2  (1) 

Case Study: Top Films of All Time 


3  (1) 


4  (6) 


10  (1) 


10  (6) 


16  (6) 


22  (17) 


30  (1) 


31  (3) 


34  (1) 


35  (1) 

Focusing on Data Analysis 


35  (1) 


36  (1) 


36  (3) 

PART II DESCRIPTIVE STATISTICS 


39  (110) 


40  (50) 

Chapter Outline and General Objectives 


40  (1) 

Case Study: Preventing Infant Mortality 


41  (1) 


42  (4) 


46  (12) 


58  (10) 


68  (4) 

Distribution Shapes; Symmetry and Skewness 


72  (7) 


79  (11) 


83  (1) 


84  (3) 


87  (1) 


88  (1) 

Focusing on Data Analysis 


88  (1) 


89  (1) 


89  (1) 


90  (59) 

Chapter Outline and General Objectives 


90  (1) 

Case Study: The Triple Crown 


91  (1) 


92  (9) 


101  (4) 

Measures of Variation; The Sample Standard Deviation 


105  (12) 

The FiveNumber Summary; Boxplots 


117  (13) 

Descriptive Measures for Populations; Use of Samples 


130  (19) 


142  (1) 


143  (2) 


145  (1) 


146  (1) 

Focusing on Data Analysis 


147  (1) 


147  (1) 


148  (1) 

PART III PROBABILITY, RANDOM VARIABLES, AND SAMPLING DISTRIBUTIONS 


149  (204) 


150  (74) 

Chapter Outline and General Objectives 


150  (1) 

Case Study: The Powerball 


151  (1) 


152  (7) 


159  (8) 

Some Rules of Probability 


167  (7) 

Contingency Tables; Joint and Marginal Probabilities 


174  (6) 


180  (7) 

The Multiplication Rule; Independence 


187  (8) 


195  (7) 


202  (22) 


214  (1) 


215  (4) 


219  (1) 


220  (1) 

Focusing on Data Analysis 


221  (1) 


222  (1) 


223  (1) 

Discrete Random Variables 


224  (48) 

Chapter Outline and General Objectives 


224  (1) 

Case Study: Aces Wild on the Sixth at Oak Hill 


225  (1) 

Discrete Random Variables and Probability Distributions 


226  (8) 

The Mean and Standard Deviation of a Discrete Random Variable 


234  (6) 

The Binomial Distribution 


240  (16) 


256  (16) 


265  (1) 


265  (3) 


268  (1) 


269  (1) 

Focusing on Data Analysis 


269  (1) 


270  (1) 


271  (1) 


272  (50) 

Chapter Outline and General Objectives 


272  (1) 

Case Study: Foot Length and Shoe Size for Women 


273  (1) 

Introducing Normally Distributed Variables 


274  (8) 

Areas Under the Standard Normal Curve 


282  (8) 

Working With Normally Distributed Variables 


290  (9) 

Assessing Normality; Normal Probability Plots 


299  (7) 

Normal Approximation to the Binomial Distribution 


306  (16) 


315  (1) 


315  (3) 


318  (1) 


319  (1) 

Focusing on Data Analysis 


319  (1) 


320  (1) 


321  (1) 

The Sampling Distribution of the Sample Mean 


322  (31) 

Chapter Outline and General Objectives 


322  (1) 

Case Study: The Chesapeake and Ohio Freight Study 


323  (1) 

Sampling Error; the Need for Sampling Distributions 


324  (7) 

The Mean and Standard Deviation of x 


331  (7) 

The Sampling Distribution of the Sample Mean 


338  (15) 


346  (1) 


346  (3) 


349  (1) 


350  (1) 

Focusing on Data Analysis 


351  (1) 


351  (1) 


351  (2) 

PART IV INFERENTIAL STATISTICS 


353  (338) 

Confidence Intervals for One Population Mean 


354  (42) 

Chapter Outline and General Objectives 


354  (1) 

Case Study: The Chips Ahoy! 1,000 Chips Challenge 


355  (1) 

Estimating a Population Mean 


356  (6) 

Confidence Intervals for One Population Mean When σ Is Known 


362  (9) 


371  (6) 

Confidence Intervals for One Population Mean When σ Is Unknown 


377  (19) 


389  (1) 


390  (3) 


393  (1) 


394  (1) 

Focusing on Data Analysis 


394  (1) 


395  (1) 


395  (1) 

Hypothesis Tests for One Population Mean 


396  (86) 

Chapter Outline and General Objectives 


396  (1) 

Case Study: Sex and Sense of Direction 


397  (1) 

The Nature of Hypothesis Testing 


398  (7) 

Terms, Errors, and Hypotheses 


405  (8) 

Hypothesis Tests for One Population Mean When σ Is Known 


413  (12) 

Type II Error Probabilities; Power 


425  (8) 


433  (12) 

Hypothesis Tests for One Population Mean When σ Is Unknown 


445  (10) 

The Wilcoxon SignedRank Test 


455  (12) 

Which Procedure Should Be Used? 


467  (15) 


473  (1) 


473  (5) 


478  (1) 


479  (1) 

Focusing on Data Analysis 


479  (1) 


480  (1) 


480  (2) 

Inferences for Two Population Means 


482  (86) 

Chapter Outline and General Objectives 


482  (1) 

Case Study: Breast Milk and IQ 


483  (1) 

The Sampling Distribution of the Difference Between Two Sample Means for Independent Samples 


484  (7) 

Inferences for Two Population Means, Using Independent Samples: Standard Deviations Assumed Equal 


491  (13) 

Inferences for Two Population Means, Using Independent Samples: Standard Deviations Not Assumed Equal 


504  (14) 


518  (12) 

Inferences for Two Population Means, Using Paired Samples 


530  (16) 

The Paired Wilcoxon SignedRank Test 


546  (7) 

Which Procedure Should Be Used? 


553  (15) 


560  (1) 


561  (2) 


563  (2) 


565  (1) 

Focusing on Data Analysis 


565  (1) 


566  (1) 


567  (1) 

Inferences for Population Standard Deviations 


568  (36) 

Chapter Outline and General Objectives 


568  (1) 

Case Study: Speaker Woofer Driver Manufacturing 


569  (1) 

Inferences for One Population Standard Deviation 


570  (12) 

Inferences for Two Population Standard Deviations, Using Independent Samples 


582  (22) 


596  (1) 


596  (3) 


599  (2) 


601  (1) 

Focusing on Data Analysis 


601  (1) 


602  (1) 


603  (1) 

Inferences for Population Proportions 


604  (44) 

Chapter Outline and General Objectives 


604  (1) 

Case Study: HormoneReplacement Therapy and Dementia 


605  (1) 

Confidence Intervals for One Population Proportion 


606  (14) 

Hypothesis Tests for One Population Proportion 


620  (6) 

Inferences for Two Population Proportions, Using Independent Samples 


626  (22) 


640  (1) 


640  (3) 


643  (1) 


644  (1) 

Focusing on Data Analysis 


645  (1) 


646  (1) 


647  (1) 


648  (43) 

Chapter Outline and General Objectives 


648  (1) 


649  (1) 

The ChiSquare Distribution 


650  (2) 

ChiSquare GoodnessOfFit Test 


652  (8) 

Contingency Tables; Association 


660  (9) 

ChiSquare Independence Test 


669  (22) 


681  (1) 


682  (3) 


685  (1) 


686  (1) 

Focusing on Data Analysis 


687  (1) 


688  (1) 


689  (2) 

PART V REGRESSION, CORRELATION, AND ANOVA 


691  (1) 

Descriptive Methods in Regression and Correlation 


692  (50) 

Chapter Outline and General Objectives 


692  (1) 

Case Study: Shoe Size and Height 


693  (1) 

Linear Equations With One Independent Variable 


694  (5) 


699  (16) 

The Coefficient of Determination 


715  (9) 


724  (18) 


734  (1) 


734  (3) 


737  (1) 


738  (1) 

Focusing on Data Analysis 


739  (1) 


740  (1) 


741  (1) 

Inferential Methods in Regression and Correlation 


742  (56) 

Chapter Outline and General Objectives 


742  (1) 

Case Study: Shoe Size and Height 


743  (1) 

The Regression Model; Analysis of Residuals 


744  (14) 

Inferences for the Slope of the Population Regression Line 


758  (8) 

Estimation and Prediction 


766  (10) 

Inferences in Correlation 


776  (5) 


781  (17) 


788  (1) 


788  (4) 


792  (2) 


794  (1) 

Focusing on Data Analysis 


795  (1) 


796  (1) 


797  (1) 

Analysis of Variance (ANOVA) 


798  (1) 

Chapter Outline and General Objectives 


798  (1) 

Case Study: Heavy Drinking Among College Students 


799  (1) 


800  (2) 


802  (7) 

OneWay ANOVA: The Procedure 


809  (13) 


822  (7) 


829  (11) 


840  (1) 


841  (2) 


843  (1) 


844  (1) 

Focusing on Data Analysis 


844  (1) 


845  (1) 


846  

PART VI MULTIPLE REGRESSION AND MODEL BUILDING; EXPERIMENTAL DESIGN AND ANOVA (ON THE WeissStats CD) 



Module A Multiple Regression Analysis 


2  (1) 

Module Outline and General Objectives 


2  (1) 

Case Study: Automobile Insurance Rates 


3  (1) 

The Multiple Linear Regression Model 


4  (6) 

Estimation of the Regression Parameters 


10  (17) 

Inferences Concerning the Utility of the Regression Model 


27  (13) 

Inferences Concerning the Utility of Particular Predictor Variables 


40  (7) 

Confidence Intervals for Mean Response; Prediction Intervals for Response 


47  (14) 

Checking Model Assumptions and Residual Analysis 


61  (15) 


76  (1) 


77  (3) 


80  (1) 

Focusing on Data Analysis 


81  (1) 


82  (3) 


85  

Module B Model Building in Regression 


2  (1) 

Module Outline and General Objectives 


2  (1) 

Case Study: Automobile Insurance RatesRevisited 


3  (1) 

Transformations to Remedy Model Violations 


4  (43) 

Polynomial Regression Model 


47  (45) 

Qualitative Predictor Variables 


92  (48) 


140  (31) 

Model Selection: Stepwise Regression 


171  (28) 

Model Selection: All Subsets Regression 


199  (15) 


214  (6) 


220  (1) 


221  (22) 


243  (1) 

Focusing on Data Analysis 


243  (1) 


244  (5) 


249  

Module C Design of Experiments and Analysis of Variance 


2  (1) 

Module Outline and General Objectives 


2  (1) 

Case Study: Dental Hygiene: Which Toothbrush? 


3  (1) 


4  (7) 


11  (18) 

TwoWay ANOVA: The Procedure 


29  (33) 

TwoWay ANOVA: Multiple Comparisons 


62  (16) 


78  (6) 

Randomized Block ANOVA: The Logic 


84  (12) 

Randomized Block ANOVA: The Procedure 


96  (33) 

Randomized Block ANOVA: Multiple Comparisons 


129  (7) 

Friedman's Nonparametric Test for the Randomized Block Design 


136  (12) 


148  (1) 


149  (9) 


158  (1) 

Focusing on Data Analysis 


158  (1) 


159  (2) 


161  


1  (1) 

Appendix A Statistical Tables 


3  (28) 


5  (1) 

II Areas under the standard normal curve 


6  (2) 


8  (2) 


10  (2) 


12  (1) 


13  (1) 


14  (2) 


16  (8) 

IX Critical values for a correlation test for normality 


24  (1) 


25  (1) 


26  (1) 

XII Binomial probabilities 


27  (4) 

Appendix B Answers to Selected Exercises 


31  
Index 

1  