Exam 11: Statistical Inferences for Population Variances

The value of F_α in a particular situation depends on the size of the right-hand tail area and on the numerator degrees of freedom.

Testing H₀: σ₁² ≤ σ₂²,H_A: σ₁² > σ₂² at α = .05,where n₁ = 16,n₂ = 19,s₁² = .03,and s₂² = .02,can we reject the null hypothesis?

What is the value of the computed F statistic for testing equality of population variances where s₁² = .004 and s₂² = .002? Consider H_A: σ₁² > σ₂²