|
Chapter 1: Introduction and Graphical Displays |
3 |
|
Introduction |
3 |
|
Section 1-2 Frequency Distributions |
17 |
|
Section 1-3: Dot Plots |
29 |
|
Section 1-4: Bar Charts and Bar Graphs |
30 |
|
Section 1-5: Histograms |
34 |
|
Section 1-6: Frequency and Relative Frequency Polygons |
39 |
|
Section 1-7: Ogives |
43 |
|
Section 1-8: Stem-and-Leaf Plots or Displays |
50 |
|
Section 1-9: Time Series Graphs |
54 |
|
Section 1-10: Pie Graphs or Pie Charts |
58 |
|
Section 1-11: Pareto Charts |
61 |
|
Chapter Review |
63 |
|
Chapter 2: Measures of Central Tendency |
64 |
|
Introduction |
64 |
|
Section 2-2: The Mean |
65 |
|
Section 2-3: The Median |
73 |
|
Section 2-4: The Mode |
79 |
|
Section 2-5: Shapes of Distributions |
91 |
|
Chapter Review |
96 |
|
Chapter 3: Measures of Variability |
97 |
|
Introduction |
97 |
|
Section 3-2: The Range |
98 |
|
Section 3-3: The Interquartile Range |
103 |
|
Section 3-4: The Mean Absolute Deviation |
108 |
|
Section 3-5: The Variance and Standard Deviation |
114 |
|
Section 3-6: The Coefficient of Variation |
122 |
|
Section 3-7: The Empirical Rule |
127 |
|
Section 3-8: Measuring Skewness |
139 |
|
Chapter Review |
145 |
|
Chapter 4: Measures of Position |
146 |
|
Introduction |
146 |
|
Section 4-2: The z-Score or Standard Score |
147 |
|
Section 4-3: Percentile |
154 |
|
Section 4-4: Outliers |
165 |
|
Section 4-5: Box Plots |
170 |
|
Chapter Review |
180 |
|
Chapter 5: Bivariate Data |
181 |
|
Introduction |
181 |
|
Section 5-2: Scatter Plots |
181 |
|
Section 5-3: Looking for Patterns in the Data |
184 |
|
Section 5-4: Linear Correlation |
192 |
|
Section 5-5: Correlation and Causation |
202 |
|
Section 5-6: Regression Analysis and the Least Squares Regression Line |
204 |
|
Section 5-7: The Coefficient of Determination |
215 |
|
Section 5-8: Residual Plots |
217 |
|
Section 5-9: Outliers and Influential Points |
230 |
|
Chapter Review |
236 |
|
Chapter 6: Categorical Data |
237 |
|
Introduction |
237 |
|
Section 6-2: Joint and Marginal Distributions |
238 |
|
Section 6-3: Conditional Distributions |
244 |
|
Section 6-4: Independence in Categorical Variables |
252 |
|
Section 6-5: Simpson's Paradox |
257 |
|
Chapter Review |
265 |
|
Chapter 7: Probability |
266 |
|
Introduction |
266 |
|
Section 7-2: Randomness and Uncertainty |
267 |
|
Section 7-3: Random Experiments, Sample Space and Events |
268 |
|
Section 7-4: Classical Probability |
272 |
|
Section 7-5: Relative Frequency or Empirical Probability |
275 |
|
Section 7-6: The Law of Large Numbers |
277 |
|
Section 7-7: Subjective Probability |
281 |
|
Section 7-8: Some Basic Rules of Probability |
282 |
|
Section 7-9: Others Rules of Probability |
283 |
|
Section 7-10: Conditional Probability |
296 |
|
Section 7-11: Independence |
299 |
|
Chapter Review |
303 |
|
Chapter 8: Discrete Probability Distributions |
304 |
|
Introduction |
304 |
|
Section 8-2: Random Variables |
305 |
|
Section 8-3: Probability Distributions for Discrete Random Variables |
310 |
|
Section 8-4: Expected Value for a Discrete Random Variable |
313 |
|
Section 8-5: Variance and Standard Deviation of a Discrete Random Variable |
320 |
|
Section 8-6: Bernoulli Trials and the Binomial Probability Distribution |
328 |
|
Section 8-7: The Geometric Probability Distribution |
336 |
|
Section 8-8: The Poisson Probability Distribution |
342 |
|
Section 8-9: The Hypergeometric Probability Distribution |
347 |
|
Chapter Review |
356 |
|
Chapter 9: The Normal Probability Distribution |
357 |
|
Introduction |
357 |
|
Section 9-2: The Normal Probability Distribution |
359 |
|
Section 9-3: Properties of the Normal Distribution |
363 |
|
Section 9-4: The Standard Normal Distribution |
374 |
|
Section 9-5: Applications of the Normal Distribution |
394 |
|
Section 9-6: The Normal Approximation to the Binomial Distribution |
400 |
|
Chapter Review |
414 |
|
Chapter 10: Sampling Distributions and the Central Limit Theorem |
415 |
|
Introduction |
415 |
|
Section 10-2: Sampling Distribution of a Sample Proportion |
415 |
|
Section 10-3: Sampling Distribution of a Sample Mean |
428 |
|
Section 10-4 Sampling Distribution for the Difference Between two Independent Sample Proportions |
440 |
|
Section 10-5 Sampling Distribution for the Difference Between two Independent Sample Means |
453 |
|
Chapter Review |
466 |
|
Chapter 11: Confidence Intervals - Large Samples |
467 |
|
Introduction |
467 |
|
Section 11-2: Large Sample Confidence Interval for a Single Population Proportion |
468 |
|
Section 11-3: Large Sample Confidence Interval for a Single Population Mean |
481 |
|
Section 11-4: Large Sample Confidence Interval for the Difference Between Two Population Proportions |
491 |
|
Section 11-5: Large Sample Confidence Interval for the Difference Between Two Population Means |
499 |
|
Chapter Review |
511 |
|
Chapter 12: Hypothesis Tests - Large Samples |
512 |
|
Introduction |
512 |
|
Section 12-2: Some Terms Associated with Hypothesis Testing |
513 |
|
Section 12-3: Large Sample Test for a Single Population Proportion |
520 |
|
Section 12-4 Large Sample Tests for a Single Population Mean |
533 |
|
Section 12-5: Large Sample Test for the Difference Between Two Population Proportions |
546 |
|
Section 12-6: Large Sample Tests for the Difference Between Two Population Means |
562 |
|
Chapter Review |
581 |
|
Chapter 13: Confidence Intervals - Small Samples |
582 |
|
Introduction |
582 |
|
Section 13-2: The t-Distribution |
583 |
|
Section 13-3: Small Sample Confidence Interval for a Single Population Mean |
587 |
|
Section 13-4: Small Sample Confidence Interval for the Difference Between Two Population Means Using Independent Samples |
592 |
|
Section 13-5: Small Sample Confidence Interval for the Difference Between Two Population Means Using Dependent Samples |
602 |
|
Chapter Review |
611 |
|
Chapter 14: Hypothesis Tests - Small Samples |
612 |
|
Introduction |
612 |
|
Section 14-2 Small Sample Test for a Single Population Mean |
612 |
|
Section 14-3: Small Sample Hypothesis Tests for the Difference Between Two Population Means Using Independent Samples |
628 |
|
Section 14-4: Small Sample Hypothesis Tests for the Difference Between Two Population Means Using Dependent Samples |
652 |
|
Chapter Review |
659 |
|
Chapter 15: Chi-Square Tests |
660 |
|
Introduction |
660 |
|
Section 15-2: The Chi-Square Distribution |
661 |
|
Section 15-3: The Chi-Square Test for Goodness-of-Fit |
666 |
|
Section 15-4: The Chi-Square Test for Independence |
686 |
|
Section 15-5: Benford's Law |
693 |
|
Chapter Review |
706 |
|
Chapter 16: One-Way Analysis of Variance |
707 |
|
Introduction |
707 |
|
Section 16-2: Comparing Population Means Graphically |
708 |
|
Section 16-3: Terminology Associated with Analysis of Variance (ANOVA) |
716 |
|
Section 16-4 The Hypotheses and Assumptions for One-Way ANOVA |
721 |
|
Section 16-5: The F-Distribution and the F Test Statistic |
729 |
|
Section 16-6: One-Way or Single Factor ANOVA Test for the Equality of Several Population Means |
733 |
|
Section 16-7: The One-Way ANOVA Model and Validating the Model Assumptions |
742 |
|
Chapter Review |
754 |


