CRITICAL VALUE OF FISHER.-SNEDECOR CRITERION IF SIGNIFICANCE LEVEL IS O .05. v_(1)=5,v_(2)=4,H_(1):sigma _(x)^2gt sigma _(y)^2 IS alpha =0.05 alpha =0.025 V_(2) V_(1) 3 4 5 V_(2) V_(1) 3 4 5 3 9.28 19.12 9.01 3 15.44 15.1 114.89 4 6.59 6.39 6.26 4 9.98 9.6 9.36 5 5.41 5.19 5.05 5 7.76 7.39 7.15 Select one: 9.36 7.15 6.26 7.39 5.19

To determine the critical value of Fisher-Snedecor (also known as the F-test), we need to identify the correct value from the provided table that corresponds to the given significance level (\(\alpha\)) and degrees of freedom (\(v_1\) and \(v_2\)).<br /><br />Given:<br />- Significance level (\(\alpha\)) = 0.05<br />- Degrees of freedom for the numerator (\(v_1\)) = 5<br />- Degrees of freedom for the denominator (\(v_2\)) = 4<br /><br />We need to find the critical value for \(H_1: \sigma_x^2 > \sigma_y^2\), which corresponds to the upper tail of the F-distribution.<br /><br />From the provided table, we look for the value in the row where \(v_1 = 5\) and \(v_2 = 4\), and then select the appropriate value for \(\alpha = 0.05\).<br /><br />The table entry for \(v_1 = 5\) and \(v_2 = 4\) at \(\alpha = 0.05\) is 7.15.<br /><br />Therefore, the correct answer is:<br />7.15