Inferential Statisticshard
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In a hypothesis test for the equality of two population variances σ12\sigma_1^2 and σ22\sigma_2^2, we use the test statistic F=s12s22F = \frac{s_1^2}{s_2^2}. Suppose n1=16n_1=16 and n2=21n_2=21. If we observe F=2.5F=2.5, and the critical value for α=0.05\alpha=0.05 is F0.025,15,20=2.57F_{0.025, 15, 20} = 2.57, what does this imply about the test if we use a two-tailed approach?