INSTRUCTOR’S SOLUTIONS MANUAL Mark Dummeldinger University of South Florida

STATISTICS ………………………………………

For Engineering and the Sciences

FIFTH EDITION William Mendenhall University of Florida Terry Sincich University of South Florida

Upper Saddle River, New Jersey Columbus, Ohio

(COPYRIGHT PAGE)

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Contents ……………………………………………………..…… Preface v Chapter 1 Introduction 1 Chapter 2 Descriptive Statistics 4 Chapter 3 Probability 33 Chapter 4 Discrete Random Variables 50 Chapter 5 Continuous Random Variables 75 Chapter 6 Bivariate Probability Distributions and Sampling Distributions 104 Chapter 7 Estimation Using Confidence Intervals 133 Chapter 8 Tests of Hypotheses 161 Chapter 9 Categorical Data Analysis 190 Chapter 10 Simple Linear Regression 215 Chapter 11 Multiple Regression Analysis 243 Chapter 12 Model Building 284 Chapter 13 Principles of Experimental Design 312 Chapter 14 The Analysis of Variance for Designed Experiments 317 Chapter 15 Nonparametric Statistics 348 Chapter 16 Statistical Process and Quality Control 371 Chapter 17 Product and System Reliability 403 Appendix A Matrix Algebra 414

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Preface ………………………………………………………….. This solutions manual is designed to accompany the text Statistics for Engineering and the Sciences, Fifth Edition, by William Mendenhall and Terry Sincich (2006). It provides answers to most even-numbered exercises for each chapter in the text. Other methods of solution may also be appropriate; however, the author has presented one that he believes to be most instructive to the beginning statistics student. The student should first attempt to solve the assigned exercises without help from this manual. Then, if unsuccessful, the solution in the manual will clarify points necessary to the solution. The student who successfully solves an exercise should still refer to the manual’s solution. Many points are clarified and expanded upon to provide maximum insight into and benefit from each exercise. Instructors will benefit from the use of this manual. It will save time in preparing presentations of the solutions and possibly provide another point of view regarding their meaning. Some of the exercises are subjective in nature and thus omitted from the Answer Key at the end of Statistics for Engineering and the Sciences, Fifth Edition. The subjective decisions regarding these exercises have been made and are explained by the author. Solutions based on these decisions are presented; the solution to this type of exercise is often most instructive. When an alternative interpretation of an exercise may occur, the author has often addressed it and given justification for the approach taken. I would like to thank Kelly Evans for creating much of the art work contained in this manual and Brenda Dobson for her assistance in typing this work and making it look presentable. It’s good to have her back in the game. Mark Dummeldinger University of South Florida Tampa, Florida