Distributions Related to the Normal Distribution

This example demonstrates several important distributions related to the normal distribution, including the normal, t, F, and chi-squared distributions, their graphs, and properties. Key math concepts involved are the normal distribution, t distribution, F distribution, chi-squared distribution, hypothesis testing, unit circle, power functions, curve sketching, and probability & statistics. Constructed using GeoGebra commands like Normal, TDistribution, FDistribution, ChiSquared, and objects such as m (mean), s (standard deviation), f (frequency), df (degrees of freedom), g (graph), fdf1 (distribution function 1), fdf2 (distribution function 2), h (helper line), xdf (data points), p (probability), a, b, c, d. Suitable for high school students and above, this example is an essential tool for understanding the relationships and applications of various distributions in probability and statistics, particularly in hypothesis testing and inferential statistics.