Understanding Basic Statistics

UNDERSTANDING BASIC STATISTICS provides plenty of guidance and informal advice as it demonstrates the links between statistics and the real world. Its reader-friendly approach helps you grasp the concepts and see how they relate to your life. A complete technology package, including JMP statistical software, gives you the tools you need to practice what you're learning and succeed in the course. Cover Contents Critical Thinking Statistical Literacy Direction and Purpose Ethics and Real-World Skills Making the Jump Preface Additional Resources-Get More from Your Textbook! Table of Prerequisite Material Chapter 1: Getting Started Focus Problems: Where Have All the Fireflies Gone? Section 1.1: What Is Statistics? Section 1.2: Random Samples Section 1.3: Introduction to Experimental Design Chapter Review Chapter 2: Organizing Data Focus Problem: Say It with Pictures Section 2.1: Frequency Distributions, Histograms, and Related Topics Section 2.2: Bar Graphs, Circle Graphs, and Time-Series Graphs Section 2.3: Stem-and-Leaf Displays Chapter Review Chapter 3: Averages and Variation Focus Problem: Water: Yellowstone River Section 3.1: Measures of Central Tendency: Mode, Median, and Mean Section 3.2: Measures of Variation Section 3.3: Percentiles and Box-and-Whisker Plots Chapter Review Chapter 4: Correlation and Regression Focus Problem: Changing Populations and Crime Rate Section 4.1: Scatter Diagrams and Linear Correlation Section 4.2: Linear Regression and the Coefficient of Determination Chapter Review Chapter 5: Elementary Probability Theory Focus Problem: How Often Do Lie Detectors Lie? Section 5.1: What Is Probability? Section 5.2: Some Probability Rules-Compound Events Section 5.3: Trees and Counting Techniques Chapter Review Chapter 6: The Binomial Probability Distribution and Related Topics Focus Problem: Personality Preference Types: Introvert or Extrovert? Section 6.1: Introduction to Random Variables and Probability Distributions Section 6.2: Binomial Probabilities Section 6.3: Additional Properties of the Binomial Distribution Chapter Review Chapter 7: Normal Curves and Sampling Distributions Focus Problem: Impulse Buying Section 7.1: Graphs of Normal Probability Distributions Section 7.2: Standard Units and Areas under the Standard Normal Distribution Section 7.3: Areas under Any Normal Curve Section 7.4: Sampling Distributions Section 7.5: The Central Limit Theorem Section 7.6: Normal Approximation to Binomial Distribution and to p Distribution Chapter Review Chapter 8: Estimation Focus Problem: Trick or Treat Section 8.1: Estimating u When o Is Known Section 8.2: Estimating u When o Is Unknown Section 8.3: Estimating p in the Binomial Distribution Chapter Review Chapter 9: Hypothesis Testing Focus Problem: Benford's Law: The Importance of Being Number 1 Section 9.1: Introduction to Statistical Tests Section 9.2: Testing the Mean u Section 9.3: Testing a Proportion p Chapter Review Chapter 10: Inferences about Differences Focus Problem: The Trouble with Wood Ducks Section 10.1: Tests Involving Paired Differences (Dependent Samples) Section 10.2: Inferences about the Difference of Two Means u1 - u2 Section 10.3: Inferences about the Difference of Two Proportions p1 - p2 Chapter Review Chapter 11: Additional Topics Using Inference Focus Problem: Archaeology in Bandelier National Monument Section 11.1: Chi-Square: Tests of Independence and of Homogeneity Section 11.2: Chi-Square: Goodness of Fit Section 11.3: Testing a Single Variance or Standard Deviation Section 11.4: Inferences for Correlation and Regression Chapter Review Appendix Tables Answers and Key Steps to Odd-Numbered Problems Answers to Selected Even-Numbered Problems Index