Hypothesis testing - difference in variance

[mattc]

The following hypotheses are given.

A random sample of eight observations from the first population resulted in a standard deviation of 10. A random sample of six observations from the second population resulted in a standard deviation of 7. At the .02 significance level, is there a difference in the variation of the two populations?

[omega]

[(n1-1)*s1^2]/[(n2-1)*s2^2] is distributed as F with (n1-1), (n2-1) degrees of freedom.

The test statistic is:
[(n1-1)*s1^2]/[(n2-1)*s2^2]
=[(8-1)*10^2]/[(6-1)*7^2]
=2.86

Yu can find the critical values from the F table.

Hope this helps. :)