In their bestselling title MATHEMATICAL STATISTICS WITH APPLICATIONS, premiere authors Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer present a solid foundation in statistical theory while conveying the relevance and importance of the theory in solving practical problems in the real world. The authors' use of practical applications and excellent exercises helps you discover the nature of statistics and understand its essential role in scientific research. With the addition of contributor Brendan Ames, MATHEMATICAL STATISTICS WITH APPLICATIONS now includes an enhanced eTextbook. Simulation activities using interactive applets and R embedded within the MindTap Reader help students visualize statistical concepts, and an appendix introducing students to statistical data analysis using R can be found at the end of the eTextbook.

Table of Contents

1 What Is Statistics?

2 Probability

3 Discrete Random Variables and Their Probability Distributions

4 Continuous Variables and Their Probability Distributions

5 Multivariate Probability Dist ributions

6 Functions of Random Variables

7 Sampling Distributions and the Central Limit Theorem

8 Estimation

9 Properties of Point Estimators and Methods of Estimation

10 Hypothesis Testing

11 Linear Models and Estimation by Least Squares

12 Considerations in Designing Experiments

13 The Analysis of Variance

14 Analysis of Categorical Data

15 Nonparametric Statistics

16 Introduction to Bayesian Methods for Inference

Appendix 1 Matrices and Other Useful Mathematical Results

Appendix 2 Common Probability Distributions, Means, Variances, and Moment-Generating Functions

Appendix 3 Tables

Answers to Exercises

About the Authors

The late Dr. Mendenhall served in the Navy in the Korean War and obtained a Ph.D. in Statistics at North Carolina State University. After receiving his Ph.D , he was a professor in the Mathematics Department at Bucknell University in Pennsylvania before moving to Gainesville in 1963 where he was the first chairman of the Department of Statistics at the University of Florida. Dr. Mendenhall published articles in some of the top statistics journals, such as Biometika and Technometrics; however, he is more widely known for his prolific textbook career. He authored or co-authored approximately 13 Statistics textbooks and several books about his childhood.

Richard L. Scheaffer, Professor Emeritus of Statistics, University of Florida, received his Ph.D. in statistics from Florida State University. Accompanying a career of teaching, research and administration, Dr. Scheaffer has led efforts on the improvement of statistics education throughout the school and college curriculum. Co-author of five textbooks, he was one of the developers of the Quantitative Literacy Project that formed the basis of the data analysis strand in the curriculum standards of the National Council of Teachers of Mathematics. He also led the task force that developed the AP Statistics Program, for which he served as Chief Faculty Consultant. Dr. Scheaffer is a Fellow and past president of the American Statistical Association, a past chair of the Conference Board of the Mathematical Sciences, and an advisor on numerous statistics education projects.