STAT 8010 Lecture Notes - Lecture 9: Confidence Interval, Standard Deviation, Probability Distribution
Document Summary
The distribution is on the nonnegative side of the real line. It is a non-symmetric continuous distribution that looks similar to the chi-square distribution. The distribution has two different degrees of freedom. It is the sampling distribution of the ratio of two sample variances when the variances of the two populations are equal. Small-sample hypothesis test for a ratio of two variances. The rejection region is found using an f-distribution with df1=degrees of freedom of the numerator and df2=degrees of freedom of the denominator. Small-sample confidence intervals for the ratio of two variances. Super alloys used in the aerospace industry require heat treatment to improve their material properties. The heat treatment is most effective if there is very little temperature fluctuation in the furnace. A company is considering buying one of two types of furnaces and have tested the temperature variability for both types of furnaces.
