H_{0}: σ_{1} / σ_{2} = K | The ratio between the first population standard deviation (σ_{1}) and the second population standard deviation (σ_{2}) is equal to the hypothesized ratio (K). |
H_{1}: σ_{1} / σ_{2} ≠ K | The ratio between the first population standard deviation (σ_{1}) and the second population standard deviation (σ_{2}) does not equal the hypothesized ratio (K). |
H_{1}: σ_{1} / σ_{2} > K | The ratio between the first population standard deviation (σ_{1}) and the second population standard deviation (σ_{2}) is greater than the hypothesized ratio (K). |
H_{1}: σ_{1} / σ_{2} < K | The ratio between the first population standard deviation (σ_{1}) and the second population standard deviation (σ_{2}) is less than the hypothesized ratio (K). |
If you are testing the ratio of variances, substitute variance (σ^{2}) for standard deviation (σ) in the hypotheses.