## t Distribution Demonstration

Read the instructions and watch the video to see how the degrees of freedom affect the difference between t and normal distributions.

#### Learning Objectives

- State the difference between the shape of the t distribution and the shape of the normal distribution.
- State how the degrees of freedom affect the difference between the t and normal distributions.

#### Instructions

This demonstration allows you to compare the distribution to the
standard normal distribution. At the start, the standard normal
distribution is compared to a distribution with three degrees of
freedom. You can change the degrees of freedom of the t distribution
with the slider. The 3 and the 50 mark the ends of the slider. The
"current" degrees of freedom are shown at the bottom where it says "
distribution with ". As you change the slider, the are shown by
this last line. The "zoom in" button allows you to change the scale of
the graph to see the tails of the distribution in more detail.

#### Illustrated Instructions

In the video the slider is used to increase the degrees of freedom. Notice how the t-distribution change as the degrees of freedom increase. The video concludes with the tails of the tails of the graphs being zoomed into via the "zoom in" button and the degrees of freedom being decreased.

Source: https://onlinestatbook.com/2/tests_of_means/t_distribution_demo.html#video

This work is in the Public Domain.