Video: Sampling Distribution of Difference Between Means
Here is a video version of Lesson 47 from Stat Trek's free online tutorial covering the complete curriculum for Advanced Placement (AP) Statistics.
About This Video Lesson
This video lesson describes the sampling distribution of a difference between two independent sample proportions. It explains how to find the mean of the sampling distribution and the standard deviation of the sampling distribution. It lists the conditions required to safely assume that the sampling distribution will be shaped approximately like a normal distribution. And it shows, step by step, how to find the cumulative probability of any sample outcome when the distribution is shaped like a normal distribution.
A written version of the material covered in this video is available at https://stattrek.com/sampling/difference-in-means.
Prerequisites
This video lesson refers to sampling distributions and the standard normal distributions, topics we covered in previous lessons. If you are unclear on those topics, it may be helpful to review one or more of the following previous lessons:
- Lesson 40: Standard Normal Distribution
- Lesson 43: Sampling Distributions
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 49 video lessons, one video lesson for each of the first 49 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.