Fundamentals of Statistics

Michael Sullivan III is a Professor of mathematics at Joliet Junior College.  He holds graduate degrees from DePaul University in both mathematics and economics.  Mike is a very successful textbook author, having co-authored the following texts Precalculus Enhanced with Graphing Utilities 4e (CR 2006) College Algebra Enhanced with Graphing Utilities 4e (CR2006) Algebra and Trigonometry Enhanced with Graphing Utilities 4e (CR2006)   His time in the classroom and extensive authoring experience has given him an excellent foundation to write a successful introductory Statistics text: Statistics: Informed Decisions Using Data 2e (2007) and a briefer version of this text, Fundamentals of Statistics, 1/e (2005).   Because Mike’s passion is making math more exciting and accessible to students, he is coauthoring a developmental math series for Prentice Hall that will be published in 2007. These titles will include: Elementary Algebra (CR2007) Intermediate Algebra (CR2007) Elementary and Intermediate Algebra (CR2007)   Mike is the proud father of three children and when he isn’t teaching or writing, he can be found coaching his children’s baseball and soccer teams.

Part I: Getting the Information You Need

Chapter 1 Data Collection

1.1 Introduction to the Practice of Statistics

1.2 Observational Studies, Experiments, and Simple Random

Sampling

1.3 Other Effective Sampling Methods

1.4 Sources of Error in Sampling

1.5 The Design of Experiments

Chapter Review

Case Study: Chrysalises for Cash (on CD)

 

Part II: Descriptive Statistics

Chapter 2 Organizing and Summarizing Data

2.1 Organizing Qualitative Data

2.2 Organizing Quantitative Data

2.3 Graphical Misrepresentations of Data

Chapter Review

Case Study: The Day the Sky Roared (on CD)

 

Chapter 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

3.5 The Five-Number Summary and Boxplots

Chapter Review

Case Study:Who Was `A Mourner’? (on CD)

 

Chapter 4 Describing the Relation between Two Variables

4.1 Scatter Diagrams and Correlation

4.2 Least-Squares Regression

4.3 The Coefficient of Determination

Chapter Review

Case Study: Thomas Malthus, Population, and Subsistence (on CD)

 

Part III: Probability and Probability Distributions

Chapter 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

Chapter Review

Case Study: The Case of the Body in the Bag (on CD)

 

Chapter 6 Discrete Probability Distributions

6.1 Discrete Random Variables

6.2 The Binomial Probability Distribution

Chapter Review

Case Study: The Voyage of the St.Andrew (on CD)

 

Chapter 7 The Normal Probability Distribution

7.1 Properties of the Normal Distribution

7.2 The Standard Normal Distribution

7.3 Applications of the Normal Distribution

7.4 Assessing Normality

7.5 The Normal Approximation to the Binomial Probability Distribution

Chapter Review

Case Study: A Tale of Blood, Chemistry, and Health (on CD)

 

Putting It All Together: Probability

 

Part IV: Inference: From Samples to Population

Chapter 8 Sampling Distributions

8.1 Distribution of the Sample Mean

8.2 Distribution of the Sample Proportion

Chapter Review

Case Study: Sampling Distribution of the Median (on CD)

 

Chapter 9 Estimating the Value of a Parameter Using Confidence Intervals

9.1 The Logic in Constructing Confidence Intervals about a Population Mean Where the Population Standard Deviation is Known

9.2 Confidence Intervals about a Population Mean in Practice Where the Population Standard Deviation is Unknown

9.3 Confidence Intervals about a Population Proportion

9.4 Putting It All Together:Which Method Do I Use?

Chapter Review

Case Study: The Search for a Fire-Safe Cigarette (on CD)

 

Chapter 10 Testing Claims Regarding a Parameter

10.1 The Language of Hypothesis Testing

10.2 Testing Claims about a Population Mean Assuming the Population Standard Deviation Is Known

10.3 Testing Claims about a Population Mean in Practice

10.4 Testing Claims about a Population Proportion

10.5 Putting It All Together:Which Method Do I Use?

Chapter Review

Case Study: How Old Is Stonehenge? (on CD)

 

Chapter 11 Inference on Two Samples

11.1 Inference about Two Means: Dependent Samples

11.2 Inference about Two Means: Independent Samples

11.3 Inference about Two Population Proportions

11.4 Putting It All Together: Which Method Do I Use?

Chapter Review

Case Study: Control in the Design of an Experiment (on CD)

 

Chapter 12 Additional Inferential Procedures

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 Review

Case Study: Feeling Lucky? Well, Are You? (on CD)

 

Additional Topics on CD

C.1 Review of Lines

C.2 Confidence Intervals about a Population Standard Deviation

C.3 Testing Claims about the Population Standard Deviation

C.4 One-Way Analysis of Variance

 

Appendix A Tables

Answers

Index