Normal vs. t Distributions: Parameter Effects Visualization

① This example dynamically displays the normal distribution and t-distribution curves, showing how input values of mean (mu), variance, and sample size affect their shapes and relative positions. ② Core mathematical concepts include normal distribution, t-distribution, degrees of freedom, probability density functions, central limit theorem, and differences in tail thickness. ③ Construction highlights: uses GeoGebra commands Normal and TDistribution to generate the curves, with Textfield input boxes (inputBox1, inputBox2) and a button (button1) for interactive parameter adjustment; objects m, s, f, n, t represent mean, standard deviation, function, sample size, and t-distribution object respectively, enabling parameter-driven dynamic updates. ④ Suitable for high school to university-level statistics education, helping students understand the relationship between t and normal distributions and the impact of sample size on inferential statistics, ideal for classroom demonstrations or self-directed exploration.