Uploaded January 2013 | Updated September 2026, 1 hour ago
An introduction to the concept of the p-value, in the context of one-sample Z tests for the population mean. Much of the underlying logic holds for other tests as well. I discuss what a p-value is, then using simulation I illustrate its distribution when the null hypothesis is true and when the null hypothesis is false. I then give a rough guideline of what different p-values mean in terms of evidence against the null hypothesis.
An introduction to the concept of the p-value, in the context of one-sample Z tests for the population mean. Much of the underlying logic holds for other tests as well. I discuss what a p-value is, then using simulation I illustrate its distribution when the null hypothesis is true and when the null hypothesis is false. I then give a rough guideline of what different p-values mean in terms of evidence against the null hypothesis.
![Introduction to the t Distribution (non-technical)
A brief non-technical introduction to the t distribution, how it relates to the standard normal distribution, and how it is used in inference for the mean.
For those that use R, below are the R codes to find the values found in the video.
z value for a 95% interval:
qnorm(.975)
[1] 1.959964
t value for a 95% interval (5 DF)
qt(.975,5)
[1] 2.570582
t value for a 95% interval (10 DF)
qt(.975,10)
[1] 2.228139 Introduction to the t Distribution (non-technical)](https://i.ytimg.com/vi/Uv6nGIgZMVw/mqdefault.jpg)









