State the critical value(s) of the test statistic, and determine the
rejection region for the hypothesis test for the two population variances using the given information. Then give the appropriate conclusion for the hypothesis test. Assume that both population distributions are approximately normal.

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State the critical value(s) of the test statistic, and determine the

rejection region for the hypothesis test for the two population variances using the given information. Then give the appropriate conclusion for the hypothesis test. Assume that both population distributions are approximately normal.

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n_{1} = 14, s_{1}^{2} = 3.152, n_{2} = 11, s_{2}^{2} = 9.300, H_{a} : ?_{1}^{2} < ?_{2}^{2}, ? = 0.05

n_{1} = 12, s_{1}^{2} = 1893, n_{2} = 26, s_{2}^{2} = 1066, H_{a} : ?_{1}^{2} > ?_{2}^{2}, ? = 0.01

n_{1} = 11, s_{1}^{2} = 12, 047, n_{2} = 12, s_{2}^{2} = 18, 019, H_{a} : ?_{1}^{2} ? = ?_{2}^{2}, ? = 0.01

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