Lesson 32: Confidence Intervals for Variances

Printer-friendly versionPrinter-friendly version

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−α)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.