This video (7:34) explains the central limit theorem, where distributions of means of samples come from, and how those distributions are normally distributed from StatQuest with Josh Starmer. Bam. Before watching, students should have a good understanding of the normal distribution. You can find the StatQuest website here.
07. Hypothesis Testing with Distribution of Means
A Khan Academy video that demonstrates calculating means of samples in the context of the central limit theorem, including a discussion of the Sampling Distribution of the Sample mean (or the Distribution of Means of Samples). You can find the whole series of Khan Academy videos on Probability and Statistics here.
This Java applet (created by Dr. David Lane) estimates and plots the sampling distributions of various statistics based upon the user’s specified population distribution, sample size, and statistic. The simulation and its associated questions can be used as either homework assignment or as an in-class activity for those classes with access to computers with Internet …