*NCSSM Statistics Institute 2001*

**Simulation
and Probability in AP Statistics**

**Explorations
and Experimental Design**

**Scenarios
for Statistical Inference**

**JMP-INTRO
Activities**

**Introduction**

During the summer of 1999, 50 high school statistics teachers met on the campus of the North Carolina School of Science and Mathematics (NCSSM) for an intensive, four-week institute on the theory of statistics. All of the teachers were experienced teachers of statistics who have developed an understanding of statistics that goes beyond the AP curriculum.

During a week in the summer of 2001, twenty-seven of these teachers returned to NCSSM to create materials that would help them teach the sections in the AP course on experimental design. These materials were produced with the help of Roxy Peck, of California Polytechnic State University and Chief Faculty Consultant for AP Statistics, Jessica Utts of the University of California at Davis and head of the AP Statistics Test Development Committee, Linda Young, of the University of Nebraska at Lincoln and member of the AP Test Development Committee, and Jackie Dietz, of North Carolina State University and creator and editor of the Journal of Statistics Education. We hope they will be of use to all statistics teachers you in their classes.

Outline of Topics

- Probability and Simulation
- Probability and Simulations Overview
- Blocking
- Why
*n - 1*? - Random Variables
- Logic of Significance Tests
- Inference for Slope
- Violating Conditions for Inference
- Sampling Distributions and Inference
- Why np > 10?
- Calculator Simulations

- A Closer Look at Experimental Design
- Statistical Inference Scenarios
- Sample Statistical Exploration (Can Mice Learn?)
- Probability Games
- JMP INTRO: Lab Activities
- Introduction
- Lab Project Scoring Guide
- Finding Data on the Web
- Describing Numerical Data Graphically
- Describing Categorical Data Graphically
- Graphically Assessing Normality
- Least-Squares Regression
- Geometric Probability
- Sampling Variability and the Law of Large Numbers
- Confidence Interval for a Proportion
- Confidence Interval for a Mean
- Hypothesis Testing - the
*z*-test - Hypothesis Testing - the
*t*-test - Hypothesis Testing - Two-Sample
*t*-test - Hypothesis Testing - Matched Pairs
*t*-test - Exploring Categorical Data
- Chi-Squared Goodness-of-Fit Test
- Chi-Squared Test of Independence
- One-proportion
*z*-test Compared to Chi-Square - Inference for Regression