Introduction to the t Distribution (non-technical) @jbstatistics

Uploaded May 2013 | Updated September 2026, 1 hour ago

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)

Intervals (for the Mean Response and a Single Response) in Simple Linear Regression

The Sampling Distribution of the Sample Variance

Simple Linear Regression: The Least Squares Regression Line (Old, fast version)

The Expected Value and Variance of Discrete Random Variables

Dont watch this! (A t test example where nearly everything I say is wrong)

Inference for Two Means: Introduction (Old, fast version)