When Performing a Hypothesis Test for the Ratio of Two $F$

Multiple Choice

When performing a hypothesis test for the ratio of two population variances, the upper critical $F$ value is denoted $F _ { R }$ . The lower critical $F$ value, $F _ { L }$ , can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting $F$ value found in Table A-5. $F _ { R }$ can be denoted $F _ { \alpha / 2 }$ and $F _ { L }$ can be denoted $F _ { 1 - \alpha / 2 }$ .
Find the critical values $F _ { L }$ and $F _ { R }$ for a two-tailed hypothesis test based on the following values: $n _ { 1 } = 9 , n _ { 2 } - 7 , \alpha$ $= 0.05$

A) $0.2411,4.1468$
B) $0.2150,4.8232$
C) $0.3931,4.1468$
D) $0.2150,5.5996$