Student's t-Distribution
Here is the video version of Lesson 41 from Stat Trek's free online tutorial covering the complete curriculum for Advanced Placement (AP) Statistics.
About This Video
This video lesson describes the t-distribution (aka, Student’s t-distribution), a probability distribution that is used to estimate population parameters when the sample size is small and/or when the population variance is unknown. The video explains when to use the t-distribution versus the normal-distribution, how to transform a sample mean into a t-statistic, and how to find the cumulative probability associated with a t-statistic. Includes sample problems to illustrate key points.
A written version of the material covered in this video is available at https://stattrek.com/probability-distributions/t-distribution.
About Stat Trek's Video Series
A little history: About two decades ago, Stat Trek produced a free online tutorial covering the complete curriculum for AP Statistics. The tutorial, which can be found at https://stattrek.com/tutorials/ap-statistics-tutorial, was to designed to help students prepare for and pass the AP Statistics exam. Consisting of 69 easy-to-understand written lessons, the tutorial was very well-received.
Of course, there is always room for improvement. With that in mind, some students suggested supplementing the written lessons with video instruction. The Stat Trek video series is our response to that suggestion. So far, we've produced 44 video lessons, one video lesson for each of the first 44 written lessons from Stat Trek's' AP Statistics Tutorial.
The work continues. We're adding videos little by little. Eventually, we intend to have a video for each of the 69 written lessons from the tutorial.