Question: In this section, for hypothesis tests that were two-tailed, we need to find only the upper critical value. Let’s denite that value by \({{F}_{U}}\) , where the subscript R indicates the critical value for the right tail. The lower critical value \({{F}_{L}}\) (for the left-tailed) can be found as follows: First interchange the degrees of freedom, and then take the reciproval of the resulting F-value found in Table A-5. Find the critical values \({{F}_{L}}\) and \({{F}_{R}}\) for two-tailed hypothesis tests based on the following values

1. \({{n}_{1}}=10,{{n}_{2}}=10,\alpha =0.05\)
2. \({{n}_{1}}=10,{{n}_{2}}=7,\alpha =0.05\)
3. \({{n}_{1}}=7,{{n}_{2}}=10,\alpha =0.05\)

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