The Role of Statistics and the Data Analysis Process
Three Reasons to Study Statistics
The Nature and Role of Variability
Statistics and the Data Analysis Process
Types of Data and Some Simple Graphical Displays
Head Sizes: Understanding Variability
Estimating Sizes
A Meaningful Paragraph
Collecting Data Sensibly
Statistical Studies: Observation and Experimentation
Sampling
Simple Comparative Experiments
More on Experimental Design
More on Observational Studies: Designing Surveys (optional)
Communicating and Interpreting the Results of Statistical Analyses
Designing a Sampling Plan
An Experiment to Test for the Stroop Effect
McDonalds and the Next 100 Billion Burgers
Video Games and Pain Management
Graphing Calculator Explorations
Graphical Methods for Describing Data
Displaying Categorical Data: Comparative Bar Charts and Pie Charts
Displaying Numerical Data: Stem-and-Leaf Displays
Displaying Numerical Data: Frequency Distributions and Histograms
Displaying Bivariate Numerical Data
Communicating and Interpreting the Results of Statistical Analyses
Locating States
Bean Counters! Graphing Calculator Explorations
Numerical Methods for Describing Data
Describing the Center of a Data Set
Describing Variability in a Data Set
Summarizing a Data Set: Boxplots
Interpreting Center and Variability: Chebyshev's Rule, the Empirical Rule, and z Scores
Communicating and Interpreting the Results of Statistical Analyses
Collecting and Summarizing Numerical Data
Airline Passenger Weights
Boxplot Shapes
Graphing Calculator Explorations
Summarizing Bivariate Data
Correlation
Linear Regression: fitting a Line to Bivariate Data
Assessing the Fit of a Line
Nonlinear Relationships and Transformations
Logistic Regression (Optional)
Communicating and Interpreting the Results of Statistical Analyses
Exploring Correlation and Regression Technology Activity (Applets)
Age and Flexibility
Graphing calculator Explorations
Probability
Chance Experiments and Events
Definition of Probability
Basic Properties of Probability
Conditional Probability
Independence
Some General Probability Rules
Estimating Probabilities Empirically and Using Simulation
Kisses
A Crisis for European Sports Fans?
The "Hot Hand" in Basketball
Graphing Calculator Explorations
Random Variables and Probability Distributions
Random Variables
Probability Distributions for Discrete Random Variables
Probability Distributions for continuous Random Variables
Mean and Standard Deviation of a Random Variable
The Binomial and Geometric Distributions
Normal Distributions
Checking for Normality and Normalizing Transformations
Using the Normal Distribution to Approximate a Discrete Distribution
Rotten Eggs
Graphing Calculator Explorations
Sampling Variability and Sampling Distributions
Statistics and Sampling Variability
The Sampling Distribution of a Sample Mean
The Sampling distribution of a Sample Proportion
Do Students Who Take the SAT Multiple Times Have an Advantage in College Admissions? Graphing Calculator Explorations
Estimation Using a Single Sample
Point Estimates
Large-Sample Confidence Interval for a Population Proportion
Confidence Interval for a Population Mean
Communicating and Interpreting the Results of Statistical Analyses
Getting a Feel for Confidence Level
An Alternative Confidence Interval for a Population Proportion
Graphing Calculator Explorations
Hypothesis Testing Using a Single Sample
Hypotheses and Test Procedures
Errors in Hypothesis Testing
Large-Sample Hypothesis Tests for a Population Proportion
Hypothesis Tests for a Population Mean
Power and the Probability of