T Distribution vs Standard Normal Curve

This GeoGebra example dynamically compares the t-distribution curve with the standard normal curve, highlighting differences in shape, especially tail thickness and peak height as degrees of freedom change. Core mathematical concepts include the Student's t-distribution, standard normal distribution, degrees of freedom, and probability density functions. The construction uses Point commands to create draggable sliders for degrees of freedom and other parameters, and Integral commands to compute and display shaded probability areas under the curves. Additional objects like df, t, h, A, B, c, d, and text labels are used to annotate critical values and probabilities. This resource is ideal for high school or introductory college statistics courses, helping students visualize how the t-distribution approaches the normal distribution as df increases, and understand its role in confidence intervals and hypothesis testing.