Use the results of Exercise 8.89 to show that

where F depends on numerator df = [(Sample size for numerator sample variance) - 1] and denominator df = [(sample size for denominator sample variance) - 1].
First write

Then use the fact that P(F > F_α/2) = α/2.

Transcribed Image Text:

Larger sample variance P Smaller sample variance > Fal2