Activities


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An In-Class Experiment to Estimate Binomial Probabilities part of Testing Conjectures:Examples
This hands-on activity asks students to conduct a binomial experiment and calculate a confidence interval for the true probabiity. It is useful for involving students, and for having a discussion about the interpretation of confidence intervals and the role of sample size in estimation.

Independent Samples t-Test: Chips Ahoy® vs. Supermarket Brand part of Testing Conjectures:Examples
In this hands-on activity, students count the number of chips in cookies in order to carry out an independent samples t-test to compare Chips Ahoy® cookies and a supermarket brand. It can involve discussion of randomness and independence of samples, comparing two parameters with null and alternative hypotheses, and the practical issues of counting chips in a cookie.

Reese's Pieces Activity: Sampling from a Population part of Teaching with Data Simulations: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.

Coke vs. Pepsi Taste Test: Experiments and Inference about Cause part of Teaching with Data Simulations: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 ...

Reasoning About Center and Spread: How do Students Spend Their Time? part of Testing Conjectures:Examples
This activity helps students develop better understanding and stronger reasoning skills about distributions in terms of center and spread. Key words: center, spread, distribution

On the Cutting Edge Exemplary Collection This activity is part of the On the Cutting Edge Exemplary Teaching Activities collection.
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Seeing and Describing the Predictable Pattern: The Central Limit Theorem part of Testing Conjectures:Examples
This activity helps students develop a better understanding and stronger reasoning skills about the Central Limit Theorem and normal distributions. Key words: Sample, Normal Distribution, Model, Distribution, Variability, Central Limit Theorem (CLT)

Count the Fs: Why a Sample instead of a Census? part of Interactive Lectures:Examples
This interactive lecture activity motivates the need for sampling. "Why sample, why not just take a census?" Under time pressure, students count the number of times the letter F appears in a paragraph. The activity demonstrates that a census, even when it is easy to take, may not give accurate information. Under the time pressure measurement errors are more frequently made in the census rather than in a small sample.

Simulating a P-value for Testing a Correlation with Fathom part of Teaching with Data Simulations: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.

Psychic test part of Interactive Lectures:Examples
Show relative frequency converging to true probability by testing the psychic ability of your students.

Simulating Size and Power Using a 10-Sided Die part of Teaching with Data Simulations: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.