Simulating a Difference of Two Means: Interactive Randomization Test

① This example demonstrates the sampling distribution of the difference between two sample means by randomly shuffling data and reassigning groups, providing an interactive visualization of a randomization (permutation) test. ② Core mathematical concepts include means, difference of means, randomization distribution, p-value approximation, and permutation-based hypothesis testing. ③ Construction highlights: uses GeoGebra commands such as TableText to display data, Shuffle to randomly permute values, Join to combine lists, Mean to compute averages, DotPlot to visualize distributions, and a button (button1) to trigger re-randomization; LaTeX text shows current mean difference and simulation results. ④ Suitable for high school or college statistics courses, AP Statistics, or introductory data analysis, this tool helps students understand sampling variability, significance testing, and the logic behind permutation tests.