1. Statistical Process Control
Ratio of Variances
Review of the F distribution

2. Derivation of Sampling Distributions
A sum of m standard normals squared is a chi-square with m degrees of freedom
Chi-square with m degrees of freedom plus a chi-square with n degrees of freedom is a chi-square with m+n degrees of freedom
A standard normal divided by the square root of a chi-square with n degrees of freedom is a t-distribution with n degrees of freedom

3. Derivation of the F
A chi-square with m degrees of freedom divided by a chi-square with n degrees of freedom is an F-distribution with m and n degrees of freedom

6. F Confidence Interval

7. F Confidence Interval

8. Hypothesis Test