# Examples

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Simulating a P-value for Testing a Correlation with Fathom part of Examples

This activity has students use Fathom to test the correlation between attendance and ballpark capacity of major league baseball teams by taking a sample of actual data and scrambling one of the variables to see how the correlation behaves when the variables are not related. After displaying the distribution of correlations for many simulated samples, students find an approximate p-value based on the number of simulations that exceed the actual correlation.

Using an Applet to Demonstrate Confidence Intervals part of Examples

Students will utilize an applet to further expand their knowledge of confidence intervals.

Virtual Photoelectric Lab part of Examples

This is a virtual lab activity on the photoelectric effect based on a Java applet simulation of the experiment.

Influence of Outliers on Correlation part of Examples

In this visualization activity, students will observe their instructor create a scatterplot and observe how the correlation coefficient changes when outlier points are added. Students are then given a follow up assignment which guides them through the applet. In addition, the assignment provides insight about outliers and their effect on correlation.

Coke vs. Pepsi Taste Test: Experiments and Inference about Cause part of Examples

The Coke vs. Pepsi Taste Test Challenge has students design and carry out an experiment to determine whether or not students are able to correctly identify two brands of cola in a blind taste test. In the first ...

Reese's Pieces Activity: Sampling from a Population part of Examples

This activity uses simulation to help students understand sampling variability and reason about whether a particular samples result is unusual, given a particular hypothesis. By using first candies, then a web applet, and varying sample size, students learn that larger samples give more stable and better estimates of a population parameter and develop an appreciation for factors affecting sampling variability.

Simulating Size and Power Using a 10-Sided Die part of Examples

This group activity illustrates the concepts of size and power of a test through simulation. Students simulate binomial data by repeatedly rolling a ten-sided die, and they use their simulated data to estimate the size of a binomial test.

Simulating the Effect of Sample Size on the Sampling Distribution of the Mean part of Examples

A java applet that simulates the sampling distribution of the mean. It allows students to explore the effect of sample size.

Tax Game part of Pedagogy in Action:Library:Teaching with Simulations:Examples

The link between a set of taxes and income distribution is an important, but difficult, concept taught in economics principles courses. The Tax Game simulation requires a student to set tax rates for an income tax, a property tax, a wealth tax, a payroll tax, a corporate income tax, a sales tax,and an excise tax. The student can choose any rates he or she wishes, but must achieve a given revenue target.

Economics and the Tragedy of the Commons part of Pedagogy in Action:Library:Teaching with Simulations:Examples

In both macroeconomics and microeconomics principles courses, economists teach the virtue of markets as an allocative mechanism. But markets sometimes fail. This example allows students to simulate the market ...