How do I pick a rule for decision of a bilateral test?
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I have a two random samples normally distribution of length $m = 10$ and $n = 12$ . Everything independent. I need to find a rule of decision of level 95% for the hypothesis of equality of the two random variables. Now, I know about this confidence interval useful when studying the $frac{sigma_Y^2}{sigma_X^2}$ : $$ [F_{1-frac{alpha}{2}}(m-1,n-1)frac{S_Y^2}{S_X^2},F_{frac{alpha}{2}}(m-1,n-1)frac{S_Y^2}{S_X^2}]$$ My problem is that this is not bilateral and I do not know how to answer the question: "finding the rule of decision of level 95%"
statistics hypothesis-testing confidence-interval
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