Sampling Distribution of a Mean
Here is a video version of Lesson 45 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 mean. It explains what the sampling distribution of a mean is, when it is shaped like a t-distribution, when it is shaped like a normal distribution, and how to compute the cumulative probability for any sample mean. Includes sample problems with step-by-step solutions using a t-distribution calculator and a normal distribution calculator.
A written version of the material covered in this video is available at https://stattrek.com/sampling/sampling-distribution-mean.
Prerequisites
The sampling distribution of a mean is a probability distribution. This video lesson refers to probability distributions, sampling distributions, normal distributions, and t distributions. If you are unclear on those topics, it may be helpful to review one or more of the following previous lessons:
- Lesson 31: What is a Probability Distribution
- Lesson 39: Normal Distribution
- Lesson 41: Student's t-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 45 video lessons, one video lesson for each of the first 45 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.