Lesson 4: Confidence Intervals for Variances

Hey, we've checked off the estimation of a number of population parameters already. Let's check off a few more! In this lesson, we'll derive \((1−\alpha)100\%\) confidence intervals for:

  1. a single population variance:  \(\sigma^2\)
  2. the ratio of two population variances:  \(\dfrac{\sigma^2_X}{\sigma^2_Y}\)  or  \(\dfrac{\sigma^2_Y}{\sigma^2_X}\)

Along the way, we'll take a side path to explore the characteristics of the probability distribution known as the F-distribution.