# Hypotheses for 2 Variances

For a 2 variances test, the hypotheses are as follows.
Null hypothesis
 H0: σ1 / σ2 = K The ratio between the first population standard deviation (σ1) and the second population standard deviation (σ2) is equal to the hypothesized ratio (K).
Alternative hypothesis
Select one of the following alternative hypotheses.
 H1: σ1 / σ2 ≠ K The ratio between the first population standard deviation (σ1) and the second population standard deviation (σ2) does not equal the hypothesized ratio (K). H1: σ1 / σ2 > K The ratio between the first population standard deviation (σ1) and the second population standard deviation (σ2) is greater than the hypothesized ratio (K). H1: σ1 / σ2 < K The ratio between the first population standard deviation (σ1) and the second population standard deviation (σ2) is less than the hypothesized ratio (K).
###### Note

If you are testing the ratio of variances, substitute variance (σ2) for standard deviation (σ) in the hypotheses.

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