The test statistic employed to test $H _ { 0 } : \sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 } = 1$ is $F = s _ { 1 } ^ { 2 } / s _ { 2 } ^ { 2 }$ is F-distributed with v₁ = n₁ - 1 and v₂ = n₂ -1 degrees of freedom if the two populations are F-distributed.

Question

Quizplus · Accepted Answer

The F-test for comparing variances assumes that the populations are normally distributed, not F-distributed.

The Test Statistic Employed to Test H0:σ12/σ22=1H _ { 0 } : \sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 } = 1H0​:σ12​/σ22​=1

The Test Statistic Employed to Test $H _ { 0 } : \sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 } = 1$