The following hypotheses are given. H 0 : 2 1 < 2 2 H 1

The following hypotheses are given.

H₀: σ²₁ < σ²₂

H₁: σ²₁ > σ²₂

A random sample of five observations from the first population resulted in a standard deviation of 12. A random sample of seven observations from the second population showed a standard deviation of 7. At the .01 significance level, is there more variation in the first population?