|
|
2 | (32) |
|
|
4 | (1) |
|
|
5 | (1) |
|
|
5 | (1) |
|
Freshmen's Interest in Business |
|
|
6 | (1) |
|
Percentage of U.S. Families Who Belong to Different Income Groups |
|
|
7 | (1) |
|
|
7 | (1) |
|
|
8 | (1) |
|
|
8 | (2) |
|
Aspirin Reduces the Risk of Heart Attack |
|
|
10 | (1) |
|
|
10 | (2) |
|
|
12 | (1) |
|
|
12 | (2) |
|
|
14 | (1) |
|
|
14 | (2) |
|
|
15 | (1) |
|
Qualitative or Categorical Variables |
|
|
16 | (1) |
|
|
16 | (2) |
|
|
18 | (1) |
|
|
19 | (2) |
|
|
21 | (1) |
|
|
22 | (1) |
|
|
23 | (1) |
|
|
24 | (2) |
|
Using Minitab: An Introduction |
|
|
26 | (6) |
|
|
32 | (2) |
|
|
34 | (122) |
|
|
36 | (1) |
|
Organizing and Graphing Qualitative Data |
|
|
36 | (4) |
|
|
36 | (2) |
|
Relative Frequency and Percentage Distributions |
|
|
38 | (1) |
|
Graphical Presentation of Qualitative Data |
|
|
39 | (1) |
|
|
40 | (2) |
|
1991 Market Shares of Sneakers |
|
|
42 | (1) |
|
|
42 | (2) |
|
Organizing and Graphing Quantitative Data |
|
|
44 | (7) |
|
|
44 | (2) |
|
Constructing Frequency Distribution Tables |
|
|
46 | (2) |
|
Relative Frequency and Percentage Distributions |
|
|
48 | (1) |
|
|
49 | (2) |
|
|
51 | (4) |
|
More on Classes and Frequency Distributions |
|
|
52 | (3) |
|
|
55 | (2) |
|
Two Views of a One-Day, 40-Point Drop in the Dow |
|
|
57 | (1) |
|
|
57 | (6) |
|
Cumulative Frequency Distributions |
|
|
63 | (2) |
|
|
65 | (1) |
|
|
66 | (3) |
|
|
69 | (2) |
|
Graphing Time-Series Data |
|
|
71 | (3) |
|
Cross-Section Versus Time-Series Data |
|
|
71 | (1) |
|
Graphing Time-Series Data |
|
|
72 | (2) |
|
What is Wrong with this Picture? |
|
|
74 | (1) |
|
|
75 | (2) |
|
|
77 | (1) |
|
|
78 | (1) |
|
|
78 | (3) |
|
|
81 | (3) |
|
|
84 | (4) |
|
|
88 | (4) |
|
Numerical Descriptive Measures |
|
|
|
Measures of Central Tendency for Ungrouped Data |
|
|
92 | (4) |
|
|
92 | (4) |
|
|
96 | (4) |
|
|
97 | (3) |
|
Median Sale Prices of Existing Single-Family Homes for Metropolitan Areas |
|
|
100 | (3) |
|
|
101 | (1) |
|
Relationship Between the Mean, Median, and Mode |
|
|
102 | (1) |
|
|
103 | (5) |
|
Measures of Dispersion for Ungrouped Data |
|
|
108 | (6) |
|
|
109 | (1) |
|
Variance and Standard Deviation |
|
|
109 | (4) |
|
|
113 | (1) |
|
Population Parameter and a Sample Statistic |
|
|
114 | (1) |
|
|
114 | (4) |
|
Mean, Variance, and Standard Deviation for Grouped Data |
|
|
118 | (5) |
|
|
118 | (3) |
|
Variance and Standard Deviation for Grouped Data |
|
|
121 | (2) |
|
|
123 | (3) |
|
Use of Standard Deviation |
|
|
126 | (4) |
|
|
127 | (2) |
|
|
129 | (1) |
|
|
130 | (1) |
|
|
131 | (5) |
|
Quartiles and Interquartile Range |
|
|
131 | (3) |
|
Percentiles and Percentile Rank |
|
|
134 | (2) |
|
|
136 | (2) |
|
|
138 | (2) |
|
|
140 | (1) |
|
|
141 | (1) |
|
|
142 | (1) |
|
|
143 | (3) |
|
|
146 | (4) |
|
|
150 | (2) |
|
|
152 | (1) |
|
More Challenging Exercises (Optional) Chapters 1 to 3 |
|
|
153 | (3) |
|
|
156 | (128) |
|
Experiment, Outcomes, and Sample Space |
|
|
158 | (4) |
|
Simple and Compound Events |
|
|
160 | (2) |
|
|
162 | (1) |
|
|
163 | (6) |
|
Three Conceptual Approaches to Probability |
|
|
164 | (5) |
|
|
169 | (1) |
|
|
169 | (1) |
|
|
170 | (2) |
|
|
172 | (1) |
|
Marginal and Conditional Probabilities |
|
|
173 | (4) |
|
Probabilities of Owning Homes |
|
|
177 | (1) |
|
Mutually Exclusive Events |
|
|
178 | (2) |
|
Independent Versus Dependent Events |
|
|
180 | (1) |
|
|
181 | (2) |
|
|
183 | (3) |
|
Intersection of Events and the Multiplication Rule |
|
|
186 | (7) |
|
|
186 | (1) |
|
|
187 | (6) |
|
Baseball Players Have ``Slumps'' and ``Streaks'' |
|
|
193 | (1) |
|
|
194 | (3) |
|
Union of Events and the Addition Rule |
|
|
197 | (5) |
|
|
197 | (2) |
|
|
199 | (3) |
|
|
202 | (3) |
|
|
205 | (3) |
|
|
208 | (1) |
|
|
209 | (1) |
|
|
210 | (1) |
|
|
211 | (3) |
|
|
214 | (4) |
|
Discrete Random Variables and Their Probability Distributions |
|
|
|
|
218 | (2) |
|
|
218 | (1) |
|
Continuous Random Variable |
|
|
219 | (1) |
|
|
220 | (1) |
|
Probability Distribution of a Discrete Random Variable |
|
|
220 | (4) |
|
|
224 | (3) |
|
Mean of a Discrete Random Variable |
|
|
227 | (2) |
|
Cash Rich Instant Lottery |
|
|
229 | (2) |
|
Standard Deviation of a Discrete Random Variable |
|
|
231 | (2) |
|
|
233 | (2) |
|
Factorials and Combinations |
|
|
235 | (4) |
|
|
235 | (2) |
|
|
237 | (2) |
|
|
239 | (2) |
|
The Table of Combinations |
|
|
240 | (1) |
|
|
241 | (1) |
|
The Binomial Probability Distribution |
|
|
241 | (8) |
|
|
242 | (1) |
|
The Binomial Probability Distribution and Binomial Formula |
|
|
243 | (6) |
|
|
249 | (7) |
|
Using the Table of Binomial Probabilities |
|
|
250 | (4) |
|
Probability of Success and the shape of the binomial Distribution |
|
|
254 | (2) |
|
Mean and Standard Deviation of the Binomial Distribution |
|
|
256 | (1) |
|
|
256 | (3) |
|
The Hypergeometric Probability Distribution |
|
|
259 | (3) |
|
|
262 | (1) |
|
The Poisson Probability Distribution |
|
|
263 | (6) |
|
Using the Table of Poisson Probabilities |
|
|
266 | (2) |
|
Mean and Standard Deviation of the Poisson Probability Distribution |
|
|
268 | (1) |
|
|
269 | (2) |
|
|
271 | (1) |
|
|
271 | (1) |
|
|
272 | (4) |
|
|
276 | (2) |
|
|
278 | (3) |
|
|
281 | (3) |
|
Continuous Random Variables and Their Probability Distributions |
|
|
284 | (74) |
|
Continuous Probability Distribution |
|
|
286 | (4) |
|
Distribution of the Price-Earnings Ratios of Companies |
|
|
290 | (2) |
|
|
292 | (2) |
|
The Standard Normal Distribution |
|
|
294 | (8) |
|
|
302 | (1) |
|
Standardizing a Normal Distribution |
|
|
303 | (6) |
|
|
309 | (1) |
|
Applications of the Normal Distribution |
|
|
310 | (4) |
|
|
314 | (2) |
|
Determining the z and x Values when an area under the Normal Curve is Known |
|
|
316 | (4) |
|
|
320 | (2) |
|
The Normal Approximation to the Binomial Distribution |
|
|
322 | (5) |
|
|
327 | (2) |
|
The Uniform Probability Distribution |
|
|
329 | (4) |
|
|
333 | (1) |
|
The Exponential Probability Distribution |
|
|
334 | (5) |
|
|
339 | (1) |
|
|
340 | (1) |
|
|
340 | (1) |
|
|
341 | (4) |
|
|
345 | (2) |
|
|
347 | (5) |
|
|
352 | (2) |
|
More Challenging Exercises (Optional) Chapters 4 to 6 |
|
|
354 | (4) |
|
|
358 | (96) |
|
|
360 | (1) |
|
|
360 | (1) |
|
How to Skew a Poll: Loaded Questions and Other Tricks |
|
|
361 | (1) |
|
Random and Nonrandom Samples |
|
|
361 | (1) |
|
Selecting a Simple Random Sample |
|
|
362 | (1) |
|
Population and Sampling Distributions |
|
|
363 | (3) |
|
|
363 | (1) |
|
|
364 | (2) |
|
Sampling and Nonsampling Errors |
|
|
366 | (3) |
|
|
369 | (1) |
|
Mean and Standard Deviation of x |
|
|
370 | (3) |
|
|
373 | (2) |
|
Shape of the Sampling Distribution of x |
|
|
375 | (5) |
|
Sampling from a Normally Distributed Population |
|
|
375 | (3) |
|
Sampling from a Population that is not Normally Distributed |
|
|
378 | (2) |
|
|
380 | (1) |
|
Applications of the Sampling Distribution of x |
|
|
381 | (3) |
|
|
384 | (1) |
|
Population and Sample Proportions |
|
|
385 | (2) |
|
Mean, Standard Deviation, and Shape of the Sampling Distribution of p |
|
|
387 | (3) |
|
Sampling Distribution of p |
|
|
387 | (1) |
|
Mean and Standard Deviation of p |
|
|
388 | (1) |
|
Shape of the Sampling Distribution of p |
|
|
389 | (1) |
|
|
390 | (2) |
|
Applications of the Sampling Distribution of p |
|
|
392 | (3) |
|
|
395 | (1) |
|
|
396 | (1) |
|
|
397 | (1) |
|
|
397 | (3) |
|
|
400 | (2) |
|
|
402 | (3) |
|
|
405 | (3) |
|
Estimation of the Mean and Proportion |
|
|
|
Estimation: An Introduction |
|
|
408 | (1) |
|
Point and Interval Estimates |
|
|
409 | (2) |
|
|
409 | (1) |
|
|
410 | (1) |
|
Interval Estimation of a Population Mean: Large Samples |
|
|
411 | (5) |
|
|
416 | (1) |
|
|
417 | (5) |
|
Interval Estimation of a Population Mean: Small Samples |
|
|
422 | (5) |
|
|
422 | (3) |
|
Confidence Interval for µ Using the t Distribution |
|
|
425 | (2) |
|
|
427 | (2) |
|
Interval Estimation of a Population Proportion: Large Samples |
|
|
429 | (3) |
|
|
432 | (1) |
|
|
433 | (3) |
|
Sample Size Determination for the Estimation of Mean |
|
|
436 | (2) |
|
|
438 | (1) |
|
Sample Size Determination for the Estimation of Proportion |
|
|
438 | (2) |
|
|
440 | (1) |
|
|
441 | (1) |
|
|
441 | (1) |
|
|
442 | (3) |
|
Appendix 8.1 Rationale Behind the Confidence Interval Formula for µ |
|
|
445 | (1) |
|
|
446 | (2) |
|
|
448 | (3) |
|
|
451 | (3) |
|
Hypothesis Tests About the Mean and Proportion |
|
|
454 | (66) |
|
Hypothesis Tests: An Introduction |
|
|
456 | (8) |
|
|
456 | (1) |
|
Rejection and Nonrejection Regions |
|
|
457 | (1) |
|
|
458 | (2) |
|
|
460 | (4) |
|
|
464 | (1) |
|
Hypothesis Tests About a Population Mean: Large Samples |
|
|
465 | (6) |
|
|
471 | (3) |
|
Calculating the Probability of a Type II Error |
|
|
474 | (5) |
|
|
479 | (1) |
|
Hypothesis Tests Using the p-Value Approach |
|
|
480 | (4) |
|
|
484 | (2) |
|
Hypothesis tests About a Population Mean: Small Samples |
|
|
486 | (5) |
|
|
491 | (3) |
|
Hypothesis Tests About a Population Proportion: Large Samples |
|
|
494 | (5) |
|
|
499 | (3) |
|
|
502 | (1) |
|
|
503 | (1) |
|
|
503 | (4) |
|
|
507 | (3) |
|
|
510 | (4) |
|
|
514 | (2) |
|
More Challenging Exercises (Optional) Chapters 7 to 9 |
|
|
516 | (4) |
|
Estimation and Hypothesis Testing: Two Populations |
|
|
520 | (58) |
|
Inferences about the Difference Between two Population Means for Large and Independent Samples |
|
|
522 | (8) |
|
Independent Versus Dependent Samples |
|
|
522 | (1) |
|
The Mean, Standard Deviation, and Sampling Distribution of X1-X2 |
|
|
523 | (1) |
|
Interval Estimation of µ1 -- µ2 |
|
|
524 | (2) |
|
Hypothesis Testing about µ1 -- µ2 |
|
|
526 | (4) |
|
Inferences made by the Bureau of the Census |
|
|
530 | (1) |
|
|
531 | (2) |
|
Inferences about the Difference Between two Population Means for small and Independent Samples: Equal Standard Deviations |
|
|
533 | (7) |
|
Interval Estimation of µ1 -- µ2 |
|
|
535 | (2) |
|
Hypothesis Testing About µ1 -- µ2 |
|
|
537 | (3) |
|
|
540 | (3) |
|
Inferences About the Difference Between two Population Means for Paired Samples |
|
|
543 | (8) |
|
Interval Estimation of µd |
|
|
545 | (2) |
|
Hypothesis Testing About µd |
|
|
547 | (4) |
|
|
551 | (2) |
|
Inferences about the Difference Between two Population Proportions for Large and Independent Samples |
|
|
553 | (6) |
|
The Mean, Standard Deviation, and Sampling Distribution of P1--P2 |
|
|
554 | (1) |
|
Interval Estimation of p1 -- p2 |
|
|
554 | (1) |
|
Hypothesis Testing about p1 -- p2 |
|
|
555 | (4) |
|
More on the Inferences Made by the Bureau of the Census |
|
|
559 | (1) |
|
|
560 | (2) |
|
|
562 | (1) |
|
|
563 | (1) |
|
|
564 | (3) |
|
|
567 | (2) |
|
|
569 | (6) |
|
|
575 | (3) |
|
|
578 | (48) |
|
The Chi-Square Distribution |
|
|
580 | (2) |
|
|
582 | (1) |
|
|
583 | (6) |
|
Are Leadership Styles Evenly Distributed? |
|
|
589 | (2) |
|
|
591 | (2) |
|
|
593 | (1) |
|
A Test of Independence or Homogeneity |
|
|
593 | (9) |
|
|
593 | (6) |
|
|
599 | (3) |
|
|
602 | (3) |
|
Inferences about the Population Variance |
|
|
605 | (6) |
|
Estimation of the Population Variance |
|
|
606 | (2) |
|
Hypothesis Tests About the Population Variance |
|
|
608 | (3) |
|
|
611 | (1) |
|
|
612 | (1) |
|
|
613 | (1) |
|
|
614 | (4) |
|
|
618 | (2) |
|
|
620 | (3) |
|
|
623 | (3) |
|
|
626 | (30) |
|
|
628 | (2) |
|
|
630 | (1) |
|
One-Way Analysis of Variance |
|
|
630 | (10) |
|
Calculating the Value of the Test Statistic |
|
|
632 | (3) |
|
|
635 | (5) |
|
|
640 | (4) |
|
|
644 | (1) |
|
|
644 | (1) |
|
|
645 | (2) |
|
|
647 | (2) |
|
|
649 | (2) |
|
|
651 | (1) |
|
More Challenging Exercises (Optional) Chapters 10 to 12 |
|
|
652 | (4) |
|
|
656 | (66) |
|
The Simple Linear Regression Model |
|
|
658 | (2) |
|
|
658 | (1) |
|
|
658 | (2) |
|
The Simple Linear Regression Analysis |
|
|
660 | (10) |
|
|
662 | (1) |
|
|
663 | (4) |
|
Interpretation of a and b |
|
|
667 | (1) |
|
Assumptions of the Regression Model |
|
|
668 | (2) |
|
A Note on the use of Simple Linear Regression |
|
|
670 | (1) |
|
|
670 | (4) |
|
The Standard Deviation of Random Errors |
|
|
674 | (2) |
|
The Coefficient of Determination |
|
|
676 | (3) |
|
|
679 | (3) |
|
|
682 | (3) |
|
Sampling Distribution of b |
|
|
682 | (1) |
|
|
682 | (1) |
|
Hypothesis Testing about B |
|
|
683 | (2) |
|
|
685 | (2) |
|
|
687 | (3) |
|
|
690 | (3) |
|
Regression Analysis: A Complete Example |
|
|
693 | (3) |
|
|
696 | (3) |
|
Using the Regression Model |
|
|
699 | (4) |
|
Using the Regression Model for Estimating the Mean Value of y |
|
|
699 | (2) |
|
Using the Regression Model for Predicting a Particular Value of y |
|
|
701 | (2) |
|
Cautions in Using Regression |
|
|
703 | (1) |
|
|
704 | (1) |
|
|
705 | (1) |
|
|
706 | (1) |
|
|
707 | (4) |
|
|
711 | (3) |
|
|
714 | (5) |
|
|
719 | (3) |
|
|
722 | (46) |
|
Multiple Regression Analysis |
|
|
724 | (2) |
|
Assumptions of the Multiple Regression Model |
|
|
726 | (1) |
|
Standard Deviation of Errors |
|
|
727 | (1) |
|
Coefficient of Multiple Determination |
|
|
727 | (1) |
|
Computer Solution of Multiple Regression |
|
|
728 | (12) |
|
Estimated Multiple Regression Model |
|
|
730 | (2) |
|
Confidence Interval for Individual Coefficients |
|
|
732 | (2) |
|
Test of Hypothesis About Individual Coefficients |
|
|
734 | (3) |
|
Testing for the Overall Significance of the Multiple Regression Model |
|
|
737 | (3) |
|
|
740 | (2) |
|
|
742 | (5) |
|
Dummy Variables in the Regression Model |
|
|
747 | (7) |
|
|
754 | (5) |
|
|
759 | (1) |
|
|
760 | (1) |
|
|
761 | (4) |
|
|
765 | (3) |
|
|
768 | (41) |
|
Components of a Time Series |
|
|
770 | (3) |
|
Additive and Multiplicative Time Series Models |
|
|
773 | (2) |
|
|
775 | (1) |
|
Measuring Linear Trend: Regression Method |
|
|
776 | (3) |
|
Measuring the Cyclical Effects: Annual Data |
|
|
779 | (2) |
|
|
781 | (4) |
|
Measuring the Seasonal Effects |
|
|
785 | (9) |
|
|
794 | (2) |
|
|
796 | (1) |
|
|
796 | (1) |
|
|
797 | (4) |
|
|
801 | (3) |
|
|
804 | (1) |
|
|
805 | (1) |
|
More Challenging Exercises (Optional) Chapters 13 to 15 |
|
|
806 | (3) |
Appendix A DATA SETS |
|
809 | (13) |
|
Data Set I Information on a Sample of 50 U.S. Companies Selected from the Business Week 1000 |
|
|
810 | (2) |
|
|
812 | (6) |
|
Data Set III Sample of 200 Observations Selected from the 1990--91 Interview Survey Conducted by the U.S. Bureau of Labor |
|
|
818 | (4) |
Appendix B STATISTICAL TABLES |
|
822 | (30) |
|
|
823 | (4) |
|
|
827 | (1) |
|
Table III Values of (Combination) |
|
|
828 | (1) |
|
Table IV Table of Binomial Probabilities |
|
|
829 | (8) |
|
|
837 | (1) |
|
Table VI Table of Poisson Probabilities |
|
|
838 | (6) |
|
Table VII Standard Normal Distribution Table |
|
|
844 | (1) |
|
Table VIII The t Distribution Table |
|
|
845 | (2) |
|
Table IX Chi-Square Distribution Table |
|
|
847 | (1) |
|
Table X The F Distribution Table |
|
|
848 | (4) |
Answers to Odd-Numbered Exercises and Self-Review Tests |
|
852 | (19) |
Index |
|
871 | |