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Subject: Statistics

showing only Mathematics > Statistics > Statistical Inference and Techniques Show all Subject: Statistics

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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

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 ...

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.

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.

Simulating the Effect of Sample Size on the Sampling Distribution of the Mean part of Teaching with Data Simulations:Examples
A java applet that simulates the sampling distribution of the mean. It allows students to explore the effect of sample size.

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.

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.

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.

Using an Applet to Demonstrate Confidence Intervals part of Teaching with Data Simulations:Examples
Students will utilize an applet to further expand their knowledge of confidence intervals.

Using an Applet to Demonstrate Sampling Distributions of Regression Coefficients part of Interactive Lectures:Examples
This applet simulates a linear regression plot and the corresponding intercept and slope histograms. The program allows the user to change settings such as slope, standard deviation, sample size, and more.

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