Preface Intended Audience As the title suggests, this book is intended as an introduction to both the foun- dations and applications of statistics. It is an introduction in the sense that it does not assume a prior statistics course. But it is not introductory in the sense of being suitable for students who have had nothing more than the usual high school mathematics preparation. The target audience is undergraduate students at the equivalent of the junior or senior year at a college or university in the United States. Students should have had courses in differential and integral calculus, but not much more is required in terms of mathematical background. In fact, most of my students have had at least another course or two by the time they take this course, but the only courses that they have all had is the calculus sequence. The majority of my students are not mathematics majors. I have had students from biology, chemistry, computer science, economics, engineering, and psychology, and I have tried to write a book that is interesting, understandable, and useful to students with a wide range of backgrounds and career goals. This book is suitable for what is often a two-semester sequence in “mathe- matical statistics”, but it is different in some important ways from many of the books written for such a course. I was trained as a mathematician first, and the book is clearly mathematical at some points, but the emphasis is on the statistics. Mathematics and computation are brought in where they are useful tools. The result is a book that stretches my students in different directions at different times – sometimes statistically, sometimes mathematically, sometimes computationally. The Approach Used in This Book Features of this book that help distinguish it from other books available for such a course include the following: ix

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