When Performing a Hypothesis Test for the Ratio of Two $F _ { R }$

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