T-distribution vs Standard Normal Distribution

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2013-10-17 11:38

In collections AP Statistics

This applet explores the t-distribution by changing the degree of freedom and compares it with the Standard Normal distribution (Z). Key mathematical concepts include t-distribution and standard normal distribution. GeoGebra commands used include InverseTDistribution, Integral, and InverseNormal. Suitable for statistics and probability courses.

GeoGebra Commands & Parameters

InverseTDistribution(df, 1 - α / 2) → a
Integral(f, a, 10) → b
InverseNormal(0, 1, 1 - α / 2) → c
Integral(g, c, Infinity) → d

AI Drawing Prompt Reference

Plot the t-distribution and standard normal distribution, observe the change of t-distribution by adjusting the degree of freedom, and calculate the integral of the t-distribution from a to 10 when the degree of freedom is 10. Also, plot the standard normal distribution and calculate the integral from the 1-α/2 quantile of a normal distribution with mean 0 and standard deviation 1 to infinity.

The prompt above was compiled from the original drawing commands and is for reference only.