Preface | |
The Nature of Probability and Statistics | p. 1 |
Statistics Today: Are We Improving Our Diet? | p. 2 |
Introduction | p. 2 |
Speaking of Statistics: The Perfect Burger | p. 4 |
Descriptive and Inferential Statistics | p. 4 |
Speaking of Statistics: Super Snack Stats | p. 5 |
Speaking of Statistics: Risks in the Home | p. 6 |
Variables and Types of Data | p. 7 |
Speaking of Statistics: Height Fright Not Right | p. 8 |
Data Collection and Sampling Techniques | p. 10 |
Random Sampling | p. 11 |
Systematic Sampling | p. 11 |
Speaking of Statistics: Surviving Bad Days at Work | p. 12 |
Stratified Sampling | p. 12 |
Cluster Sampling | p. 12 |
Speaking of Statistics: How Often Does Your Family Eat Dinner at Home Together? | p. 13 |
Speaking of Statistics: Shake and Wake | p. 14 |
Other Sampling Methods | p. 14 |
Observational and Experimental Studies | p. 15 |
Computers and Calculators | p. 17 |
Technology Step by Step | p. 17 |
Summary | p. 22 |
Frequency Distributions and Graphs | p. 30 |
Statistics Today: Are We Flying More? | p. 31 |
Introduction | p. 32 |
Organizing Data | p. 32 |
Categorical Frequency Distributions | p. 33 |
Grouped Frequency Distributions | p. 34 |
Technology Step by Step | p. 43 |
Histograms, Frequency Polygons, and Ogives | p. 44 |
The Histogram | p. 45 |
The Frequency Polygon | p. 47 |
The Ogive | p. 48 |
Relative Frequency Graphs | p. 50 |
Technology Step by Step | p. 55 |
Other Types of Graphs | p. 58 |
Pareto Charts | p. 58 |
The Time Series Graph | p. 60 |
Speaking of Statistics: Pennsylvania Coal Production | p. 61 |
The Pie Graph | p. 62 |
Misleading Graphs | p. 65 |
Speaking of Statistics: Costliest Big Cities for Driving | p. 69 |
Technology Step by Step | p. 71 |
Speaking of Statistics: Budget Deficit Drops | p. 72 |
Summary | p. 73 |
Data Description | p. 80 |
Statistics Today: Who Is a Typical First-Time Home Buyer? | p. 81 |
Introduction | p. 81 |
Measures of Central Tendency | p. 82 |
The Mean | p. 83 |
Speaking of Statistics: Big Spenders | p. 85 |
The Median | p. 86 |
The Mode | p. 89 |
Speaking of Statistics: Leave the Driving to... | p. 91 |
The Midrange | p. 91 |
The Weighted Mean | p. 92 |
Distribution Shapes | p. 94 |
Measures of Variation | p. 99 |
Range | p. 100 |
Variance and Standard Deviation | p. 101 |
The Unbiased Estimator | p. 104 |
Variance and Standard Deviation for Grouped Data | p. 105 |
Coefficient of Variation | p. 108 |
Chebyshev's Theorem | p. 109 |
The Empirical (Normal) Rule | p. 111 |
Measures of Postion | p. 115 |
Standard Scores | p. 115 |
Percentiles | p. 116 |
Quartiles and Deciles | p. 123 |
Outliers | p. 124 |
Technology Step by Step | p. 127 |
Exploratory Data Analysis | p. 130 |
Stem and Leaf Plots | p. 130 |
Boxplots | p. 133 |
Technology Step by Step | p. 137 |
Summary | p. 140 |
Counting Techniques | p. 149 |
Statistics Today: Why Are We Running Out of 800 Numbers? | p. 150 |
Introduction | p. 151 |
Tree Diagrams and the Multiplication Rule for Counting | p. 151 |
The Multiplication Rule for Counting | p. 153 |
Permutations and Combinations | p. 156 |
Factorial Level Notation | p. 156 |
Permutations | p. 156 |
Combinations | p. 158 |
Summary | p. 162 |
Probability | p. 166 |
Statistics Today: Would You Bet Your Life? | p. 167 |
Introduction | p. 168 |
Sample Spaces and Probability | p. 168 |
Basic Concepts | p. 168 |
Classical Probability | p. 171 |
Complementary Events | p. 174 |
Empirical Probability | p. 175 |
Law of Large Numbers | p. 177 |
Subjective Probability | p. 178 |
Probability and Risk Taking | p. 178 |
The Addition Rules for Probability | p. 181 |
Speaking of Statistics: CEO Profile | p. 182 |
The Multiplication Rules and Conditional Probability | p. 188 |
The Multiplication Rules | p. 188 |
Conditional Probability | p. 193 |
Probabilities for "At Least" | p. 195 |
Probability and Counting Techniques (Optional) | p. 199 |
Summary | p. 202 |
Discrete Probability Distributions | p. 209 |
Statistics Today: Are the Rockets Hitting the Targets? | p. 210 |
Introduction | p. 210 |
Probability Distributions | p. 211 |
Mean, Variance, and Expectation | p. 215 |
Mean | p. 215 |
Variance | p. 218 |
Expectation | p. 220 |
The Binomial Distribution | p. 224 |
Technology Step by Step | p. 232 |
Other Types of Distributions (Optional) | p. 234 |
The Multinomial Distribution | p. 234 |
The Poisson Distribution | p. 235 |
The Hypergeometric Distribution | p. 237 |
Summary | p. 241 |
The Normal Distribution | p. 247 |
Statistics Today: What Is Normal? | p. 248 |
Introduction | p. 248 |
Properties of the Normal Distribution | p. 250 |
The Standard Normal Distribution | p. 251 |
Finding Areas under the Standard Normal Distribution Curve | p. 253 |
The Normal Distribution Curve as a Probability Distribution Curve | p. 260 |
Applications of the Normal Distribution | p. 264 |
Finding Data Values Given Specific Probabilities | p. 268 |
Technology Step by Step | p. 273 |
The Central Limit Theorem | p. 274 |
Distribution of Sample Means | p. 275 |
Finite Population Correction Factor (Optional) | p. 281 |
The Normal Approximation to the Binomial Distribution | p. 284 |
Summary | p. 290 |
Confidence Intervals and Sample Size | p. 296 |
Statistics Today: Would You Change the Channel? | p. 297 |
Introduction | p. 298 |
Confidence Intervals for the Mean ([sigma] Known or n [greater than or equal] 30) and Sample Size | p. 299 |
Confidence Intervals | p. 299 |
Sample Size | p. 305 |
Technology Step by Step | p. 309 |
Confidence Intervals for the Mean ([sigma] Unknown and n [ 30) | p. 311 |
Technology Step by Step | p. 316 |
Confidence Intervals and Sample Size for Proportions | p. 318 |
Confidence Intervals | p. 319 |
Sample Size for Proportions | p. 320 |
Technology Step by Step | p. 323 |
Confidence Intervals for Variances and Standard Deviations | p. 325 |
Summary | p. 329 |
Hypothesis Testing | p. 335 |
Statistics Today: How Much Better Is Better? | p. 336 |
Introduction | p. 337 |
Steps in Hypothesis Testing--Traditional Method | p. 337 |
z Test for a Mean | p. 349 |
Speaking of Statistics: Stick Margarine May Boost Risk of Heart Attacks | p. 350 |
P-Value Method for Hypothesis Testing | p. 354 |
Technology Step by Step | p. 361 |
t Test for a Mean | p. 363 |
Technology Step by Step | p. 371 |
z Test for a Proportion | p. 372 |
Technology Step by Step | p. 377 |
x[superscript 2] Test for a Variance or Standard Deviation | p. 378 |
Technology Step by Step | p. 386 |
Additional Topics Regarding Hypothesis Testing | p. 387 |
Confidence Intervals and Hypothesis Testing | p. 387 |
Type II Error and the Power of a Test | p. 388 |
Summary | p. 391 |
Testing the Difference between Two Means, Two Variances, and Two Proportions | p. 398 |
Statistics Today: To Vaccinate or Not to Vaccinate? Small or Large? | p. 399 |
Introduction | p. 399 |
Testing the Difference between Two Means: Large Samples | p. 400 |
Technology Step by Step | p. 408 |
Testing the Difference between Two Variances | p. 412 |
Technology Step by Step | p. 420 |
Testing the Difference between Two Means: Small Independent Samples | p. 424 |
Technology Step by Step | p. 429 |
Testing the Difference between Two Means: Small Dependent Samples | p. 433 |
Speaking of Statistics: Public School Teachers Show Bias for Boys | p. 434 |
Speaking of Statistics: Pedaling a Solution for Couch-Potato Kids | p. 442 |
Technology Step by Step | p. 443 |
Testing the Difference between Proportions | p. 446 |
Technology Step by Step | p. 451 |
Summary | p. 453 |
Hypothesis-Testing Summary 1 | p. 460 |
Correlation and Regression | p. 462 |
Statistics Today: Do Dust Storms Affect Respiratory Health? | p. 463 |
Introduction | p. 463 |
Scatter Plots | p. 464 |
Correlation | p. 468 |
Correlation Coefficient | p. 468 |
The Significance of the Correlation Coefficient | p. 471 |
Correlation and Causation | p. 474 |
Speaking of Statistics: Coffee Not Disease Culprit, Study Says | p. 476 |
Regression | p. 478 |
Line of Best Fit | p. 478 |
Determination of the Regression Line Equation | p. 479 |
Technology Step by Step | p. 485 |
Coefficient of Determination and Standard Error of Estimate | p. 490 |
Types of Variation for the Regression Model | p. 490 |
Coefficient of Determination | p. 492 |
Standard Error of Estimate | p. 492 |
Prediction Interval | p. 495 |
Multiple Regression (Optional) | p. 497 |
Speaking of Statistics: Computer Use Declines as Girls Age | p. 498 |
The Multiple Regression Equation | p. 499 |
Testing the Significance of R | p. 500 |
Adjusted R[superscript 2] | p. 501 |
Technology Step by Step | p. 503 |
Summary | p. 504 |
Other Chi-Square Tests | p. 510 |
Statistics Today: Statistics and Heredity | p. 511 |
Introduction | p. 511 |
Test for Goodness of Fit | p. 512 |
Test of Normality (Optional) | p. 517 |
Technology Step by Step | p. 521 |
Tests Using Contingency Tables | p. 523 |
Test for Independence | p. 523 |
Test for Homogeneity of Proportions | p. 528 |
Speaking of Statistics: Ignoring Commercials | p. 531 |
Speaking of Statistics: At Least They're Checking for Radon | p. 532 |
Technology Step by Step | p. 535 |
Summary | p. 537 |
Analysis of Variance | p. 543 |
Statistics Today: Is Seeing Really Believing? | p. 544 |
Introduction | p. 544 |
One-Way Analysis of Variance | p. 545 |
Technology Step by Step | p. 551 |
The Scheffe Test and the Tukey Test | p. 554 |
Scheffe Test | p. 554 |
Speaking of Statistics: Coffee Doesn't Increase Risk of Heart Disease | p. 555 |
Tukey Test | p. 556 |
Two-Way Analysis of Variance | p. 560 |
Technology Step by Step | p. 571 |
Summary | p. 574 |
Hypothesis-Testing Summary 2 | p. 580 |
Nonparametric Statistics | p. 582 |
Statistics Today: Too Much or Too Little? | p. 583 |
Introduction | p. 583 |
Advantages and Disadvantages of Nonparametric Methods | p. 584 |
Advantages | p. 584 |
Disadvantages | p. 584 |
Ranking | p. 585 |
Speaking of Statistics: New Hampshire, Exemplary State of Health | p. 586 |
The Sign Test | p. 586 |
Single-Sample Sign Test | p. 586 |
Paired-Sample Sign Test | p. 589 |
Technology Step by Step | p. 593 |
The Wilcoxon Rank Sum Test | p. 594 |
Technology Step by Step | p. 598 |
The Wilcoxon Signed-Rank Test | p. 599 |
Speaking of Statistics: Changes in Police Force Size | p. 603 |
Speaking of Statistics: Lacrosse by the Numbers | p. 604 |
Technology Step by Step | p. 604 |
The Kruskal-Wallis Test | p. 605 |
Technology Step by Step | p. 610 |
The Spearman Rank Correlation Coefficient and the Runs Test | p. 610 |
Rank Correlation Coefficient | p. 611 |
Speaking of Statistics: Stock Permits | p. 613 |
The Runs Test | p. 614 |
Technology Step by Step | p. 620 |
Summary | p. 620 |
Speaking of Statistics: Pessimism Linked to Early Death | p. 621 |
Hypothesis-Testing Summary 3 | p. 627 |
Sampling and Simulation | p. 629 |
Statistics Today: No Room in the Van? | p. 630 |
Introduction | p. 630 |
Common Sampling Techniques | p. 631 |
Random Sampling | p. 631 |
Speaking of Statistics: Odds Stacked against Lefties | p. 633 |
Systematic Sampling | p. 636 |
Stratified Sampling | p. 637 |
Cluster Sampling | p. 639 |
Other Types of Sampling Techniques | p. 640 |
Speaking of Statistics: Help, I've Failed and I Can't Get Up | p. 641 |
Technology Step by Step | p. 643 |
Surveys and Questionnaire Design | p. 645 |
Simulation Techniques | p. 647 |
The Monte Carlo Method | p. 648 |
Summary | p. 653 |
Algebra Review | p. 658 |
Writing the Research Report | p. 663 |
Bayes's Theorem | p. 664 |
Tables | p. 668 |
Data Bank | p. 697 |
Glossary | p. 705 |
Bibliography | p. 711 |
Photo Credits | p. 713 |
Selected Answers | p. 714 |
Index | |
Instructor's Section: Instructor's Edition Only | p. 761 |
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