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Fundamentals of Statistics



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Drawing upon his passion for statistics and teaching, Mike Sullivan addresses the needs of today's students, the challenges teachers face, and changes in the statistics community. With feedback from his own students and classroom experience, Fundamentals of Statisticsprovides the tools to help students learn better and think statistically in a concise, friendly presentation.

Author Biography

With training in mathematics, statistics, and economics, Mike Sullivan, III has a varied teaching background that includes 15 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics and statistics at Joliet Junior College. Mike has numerous textbooks in publication in addition to his Introductory Statistics Series, which include a Developmental Math series, and a Precalculus series, which he writes with his father, Michael Sullivan. Mike has built this book in the classroom using feedback from his students. He is well aware of the challenges of students taking an introductory statistics course. His goal is for students to be more informed interpreters of data, so that they will be better decision makers and have stronger critical-thinking skills. When not in the classroom or writing, Mike enjoys spending time with his three children, Michael, Kevin, and Marissa, and playing golf. Follow Mike on Facebook® ( and Twitter (@SullyStats).

Table of Contents

Part 1: Getting the Information You Need


1. Data Collection

1.1 Introduction to the Practice of Statistics

1.2 Observational Studies versus Designed Experiments

1.3 Simple Random Sampling

1.4 Other Effective Sampling Methods

1.5 Bias in Sampling

1.6 The Design of Experiments

            Chapter 1 Review

            Chapter Test

            Making an Informed Decision: What College Should I Attend?

            Case Study: Chrysalises for Cash


Part 2: Descriptive Statistics


2. Organizing and Summarizing Data

2.1 Organizing Qualitative Data

2.2 Organizing Quantitative Data: The Popular Displays

2.3 Graphical Misrepresentations of Data

            Chapter 2 Review

            Chapter Test

            Making an Informed Decision: Tables or Graphs?

            Case Study: The Day the Sky Roared


3. Numerically Summarizing Data

3.1 Measures of Central Tendency

3.2 Measures of Dispersion

3.3 Measures of Central Tendency and Dispersion from Grouped Data

3.4 Measures of Position and Outliers

3.5 The Five-Number Summary and Boxplots

            Chapter 3 Review

            Chapter Test

            Making an Informed Decision: What Car Should I Buy?

            Case Study: Who Was A Mourner?


4. Describing the Relation between Two Variables

4.1 Scatter Diagrams and Correlation

4.2 Least-Squares Regression

4.3 The Coefficient of Determination

4.4 Contingency Tables and Association

            Chapter 4 Review

            Chapter Test

            Making an Informed Decision: Relationships among Variables on a World Scale

            Case Study: Thomas Malthus, Population, and Subsistence


Part 3: Probability and Probability Distributions


5. Probability

5.1 Probability Rules

5.2 The Addition Rule and Complements

5.3 Independence and the Multiplication Rule

5.4 Conditional Probability and the General Multiplication Rule

5.5 Counting Techniques

5.6 Putting It Together: Which Method Do I Use?

            Chapter 5 Review

            Chapter Test

            Making an Informed Decision: The Effects of Drinking and Driving

            Case Study: The Case of the Body in the Bag


6. Discrete Probability Distributions

6.1 Discrete Random Variables

6.2 The Binomial Probability Distribution

            Chapter 6 Review

            Chapter Test

            Making an Informed Decision: Should We Convict?

            Case Study: The Voyage of the St. Andrew


7. The Normal Probability Distribution

7.1 Properties of the Normal Distribution

7.2 Applications of the Normal Distribution

7.3 Assessing Normality

7.4 The Normal Approximation to the Binomial Probability Distribution

            Chapter 7 Review

            Chapter Test

            Making an Informed Decision: Stock Picking

            Case Study: A Tale of Blood Chemistry and Health


Part 4: Inference: From Samples to Population


8. Sampling Distributions

8.1 Distribution of the Sample Mean

8.2 Distribution of the Sample Proportion

            Chapter 8 Review

            Chapter Test

            Making an Informed Decision: How Much Time Do You Spend in a Day...?

            Case Study: Sampling Distribution of the Median


9. Estimating the Value of a Parameter

9.1 Estimating a Population Proportion

9.2 Estimating a Population Mean

9.3 Putting It Together: Which Procedure Do I Use?

            Chapter 9 Review

            Chapter Test

            Making an Informed Decision: How Much Should I Spend for This House?

            Case Study: Fire-Safe Cigarettes


10. Hypothesis Tests Regarding a Parameter

10.1 The Language of Hypothesis Testing

10.2 Hypothesis Tests for a Population Proportion

10.3 Hypothesis Tests for a Population Mean

10.4 Putting It Together: Which Method Do I Use?

            Chapter 10 Review

            Chapter Test

            Making an Informed Decision: Selecting a Mutual Fund

            Case Study: How Old Is Stonehenge?


11. Inferences on Two Samples

11.1 Inference about Two Population Proportions

11.2 Inference about Two Means: Dependent Samples

11.3 Inference about Two Means: Independent Samples

11.4 Putting It Together: Which Method Do I Use?

            Chapter 11 Review

            Chapter Test

            Making an Informed Decision: Which Car Should I Buy?

            Case Study: Control in the Design of an Experiment


12. Inference on Categorical Data

12.1 Goodness-of-Fit Test

12.2 Tests for Independence and the Homogeneity of Proportions

12.3 Testing the Significance of the Least-Squares Regression Model

12.4 Confidence and Prediction Intervals

            Chapter 12 Review

            Chapter Test

            Making an Informed Decision: Benefits of College

            Case Study: Feeling Lucky? Well, Are You?


Additional Topics on CD

C.1 Lines

C.2 Estimating a Population Standard Deviation

C.3 Hypothesis Tests for a Population Standard Deviation

C.4 Comparing Three or More Means (One-Way Analysis of Variance)


Appendix A. Tables

Photo Credits



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