Elementary Statistics Picturing the World

by Larson, Ron; Farber, Betsy

• ISBN13: 9780130107343
• ISBN10: 0130107344
• Edition: 1st
• Format: Hardcover
• Copyright: 1999-08-02
• Publisher: Addison-Wesley

Summary

B> This introduction to statistics shows readers how to use statistics to make informed decisions. Its clear presentation, applied flavor, emphasis on graphical interpretation throughout, and flexible use of technology make this an excellent reference. Descriptive Statistics. Probability. Confidence Intervals. Hypothesis Testing. Correlation and Regression. Chi-Square Tests. Non-Parametric Tests. For anyone needing a hands-on, applied introduction to statistics, with or without the use of technology products.

Author Biography

Ron Larson received his Ph.D. in mathematics from the University of Colorado in 1970. At that time he accepted a position with Penn State University, and he currently holds the rank of professor of mathematics at the university. Larson is the lead author of more than two dozen mathematics textbooks that range from sixth grade through calculus levels. Many of his texts, such as the sixth edition of his calculus text, are leaders in their markets. Larson is also one of the pioneers in the use of multimedia and the Internet to enhance the learning of mathematics. He has authored multimedia programs, extending from the elementary school through calculus levels. Larson is a member of several professional groups and is a frequent speaker at national and regional mathematics meetings.

Betsy Farber received her Bachelor's degree in mathematics from Penn State University and Master's degree in mathematics from the College of New Jersey. Since 1976, she has been teaching all levels of mathematics at Bucks County Community College in Newtown, Pennsylvania, where she currently holds the rank of professor. She is particularly interested in developing new ways to make statistics relevant and interesting to her students, and has been teaching statistics in many different modes - with TI-83, with MINITAB, and by distance learning as well as in the traditional classroom. A member of the American Mathematical Association of Two-Year Colleges (AMATYC), she is an author of The Student Edition to Minitab, A Guide to Minitab and the Study and Solutions guide for Understandable Statistics. She served as consulting editor for Statistics, A First Course and has written computer tutorials for the CD-ROM correlating to the texts in the Streeter Series in mathematics.

Table of Contents

Introduction to Statistics
Where You've Been	0	(1)
Where You're Going	1	(27)
An Overview of Statistics	2	(6)
Data Classification	8	(6)
Case Study: Rating Television Shows in the United States	14	(1)
Experimental Design	15	(7)
Technology: Using Technology in Statistics	22	(2)
Chapter Summary	24	(1)
Review Exercises	25	(2)
Chapter Quiz	27	(1)
Descriptive Statistics
Where You've Been	28	(1)
Where You're Going	29	(73)
Frequency Distributions and Their Graphs	30	(14)
More Graphs and Displays	44	(11)
Measures of Central Tendency	55	(13)
Measures of Variation	68	(16)
Case Study: Sunglass Sales in the United States	84	(1)
Measures of Position	85	(8)
Technology: Monthly Milk Production	93	(1)
Using Technology to Determine Descriptive Statistics	94	(2)
Chapter Summary	96	(1)
Review Exercises	97	(4)
Chapter Quiz	101	(1)
Probability
Where You've Been	102	(1)
Where You're Going	103	(47)
Basic Concepts of Probability	104	(11)
Conditional Probability and the Multiplication Rule	115	(9)
The Addition Rule	124	(8)
Case Study: Probability and Parking Lot Strategies	132	(1)
Counting Principles	133	(10)
Technology: Composing Mozart Variations with Dice	143	(1)
Chapter Summary	144	(1)
Review Exercises	145	(3)
Chapter Quiz	148	(1)
Cumulative Test	149	(1)
Discrete Probability Distributions
Where You've Been	150	(1)
Where You're Going	151	(41)
Probability Distributions	152	(12)
Binomial Distributions	164	(13)
Case Study: Binomial Distribution of Airplane Accidents	177	(1)
More Discrete Probability Distributions	178	(7)
Technology: Using Poisson Distributions as Queuing Models	185	(1)
Chapter Summary	186	(1)
Review Exercises	187	(4)
Chapter Quiz	191	(1)
Normal Probability Distributions
Where You've Been	192	(1)
Where You're Going	193	(57)
Introduction to Normal Distributions	194	(8)
The Standard Normal Distribution	202	(10)
Applications of Normal Distributions	212	(9)
Case Study: Birth Weights in America	221	(1)
The Central Limit Theorem	222	(12)
Technology: Age Distribution in the United States	234	(1)
Normal Approximations to Binomial Distributions	235	(9)
Chapter Summary	244	(1)
Review Exercises	245	(4)
Chapter Quiz	249	(1)
Confidence Intervals
Where You've Been	250	(1)
Where You're Going	251	(47)
Confidence Intervals for the Mean (Large Samples)	252	(13)
Case Study: Shell Lengths of Loggerhead Sea Turtles	265	(1)
Confidence Intervals for the Mean (Small Samples)	266	(8)
History of Statistics---Timeline	274	(1)
Confidence Intervals for Population Proportions	275	(8)
Technology: Most Admired Polls	283	(1)
Confidence Intervals for Variance and Standard Deviation	284	(6)
Using Technology to Construct Confidence Intervals	290	(2)
Chapter Summary	292	(1)
Review Exercises	293	(3)
Chapter Quiz	296	(1)
Cumulative Test	297	(1)
Hypothesis Testing with One Sample
Where You've Been	298	(1)
Where You're Going	299	(67)
Introduction to Hypothesis Testing	300	(15)
Hypothesis Testing for the Mean (n ≥ 30)	315	(14)
Case Study: Human Body Temperature: What's Normal?	329	(1)
Hypothesis Testing for the Mean (n &glt; 30)	330	(10)
Hypothesis Testing for Proportions	340	(6)
Technology: The Case of the Vanishing Women	346	(1)
Hypothesis Testing for the Variance and Standard Deviation	347	(9)
A Summary of Hypothesis Testing	356	(2)
Using Technology to Perform Hypothesis Testing	358	(2)
Chapter Summary	360	(1)
Review Exercises	361	(4)
Chapter Quiz	365	(1)
Hypothesis Testing with Two Samples
Where You've Been	366	(1)
Where You're Going	367	(49)
Testing the Difference Between Two Means (Large Independent Samples)	368	(11)
Case Study: Oatbran and Cholesterol Level	379	(1)
Testing the Difference Between Two Means (Small Independent Samples)	380	(9)
Testing the Difference Between Two Means (Dependent Samples)	389	(11)
Testing the Difference Between Two Proportions	400	(7)
Technology: Tails Over Heads	407	(3)
Chapter Summary	410	(1)
Review Exercises	411	(4)
Chapter Quiz	415	(1)
Correlation and Regression
Where You've Been	416	(1)
Where You're Going	417	(47)
Correlation	418	(14)
Linear Regression	432	(9)
Case Study: Correlation of Body Measurements	441	(1)
Measures of Regression and Prediction Intervals	442	(10)
Multiple Regression	452	(5)
Technology: Tar, Nicotine, and Carbon Monoxide	457	(1)
Chapter Summary	458	(1)
Review Exercises	459	(3)
Chapter Quiz	462	(1)
Cumulative Test	463	(1)
Chi-Square Tests and the F-Distribution
Where You've Been	464	(1)
Where You're Going	465	(49)
Goodness of Fit	466	(10)
Independence	476	(10)
Case Study: Traffic Safety Facts 1997	486	(1)
Comparing Two Variances	487	(9)
Analysis of Variance	496	(12)
Technology: Crash Tests	508	(1)
Chapter Summary	509	(1)
Review Exercises	510	(3)
Chapter Quiz	513	(1)
Nonparametric Tests
Where You've Been	514	(1)
Where You're Going	515	(1)
The Sign Test	516	(11)
The Wilcoxon Tests	527	(9)
Case Study: Health and Nutrition	536	(1)
The Kruskal-Wallis Test	537	(6)
Rank Correlation	543	(6)
Technology: Selling Prices of Homes	549	(1)
Chapter Summary	550	(1)
Review Exercises	551	(4)
Chapter Quiz	555	(1)
Cumulative Test	556
Appendices
Appendix A Alternate Presentation of the Standard Normal Distribution	1	(1)
Standard Normal Distribution Table (0-to-z)	1	(1)
Alternate Presentation of the Standard Normal Distribution	2	(7)
Appendix B Tables	9	(21)
Table 1 Random Numbers	9	(1)
Table 2 Binomial Probability Distribution	10	(3)
Table 3 Poisson Distribution	13	(5)
Table 4 Standard Normal Distribution	18	(2)
Table 5 t-Distribution	20	(1)
Table 6 Chi-Square Distribution	21	(1)
Table 7 F-Distribution	22	(5)
Table 8 Critical Values for the Sign Test	27	(1)
Table 9 Critical Values for the Wilcoxon Signed-Rank Test	28	(1)
Table 10 Critical Values for the Spearman Rank Correlation	29	(1)
Answers to the Try It Yourself Problems	30	(15)
Answers to the Odd-Numbered Exercises	45	(31)
Credits	76	(3)
Index	79