Solve the Problem $\mathrm { F } _ { \mathrm { R } }$

question 68

Multiple Choice

Solve the problem.
-When performing a hypothesis test for the ratio of two population variances, the upper critical F value is denoted $\mathrm { F } _ { \mathrm { R } }$ . The lower critical $\mathrm { F }$ value, $\mathrm { F } _ { \mathrm { L } }$ , can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting $\mathrm { F }$ value found in table $\mathrm { A } - 5 . \mathrm { F } _ { \mathrm { R } }$ can be denoted $\mathrm { F } _ { \alpha / 2 }$ and $\mathrm { F } _ { \mathrm { L } }$ can be denoted $\mathrm { F } _ { 1 } - \alpha / 2$
Find the critical values $\mathrm { F } _ { \mathrm { L } }$ and $\mathrm { F } _ { \mathrm { R } }$ for a two-tailed hypothesis test based on the following values:
$$\mathrm { n } _ { 1 } = 25 , \mathrm { n } _ { 2 } = 16 , \alpha = 0.10$$

• A) \(0.4745,2.2878\)
• B) \(0.5327,2.2878\)
• C) \(0.7351,2.2378\)
• D) \(0.4745,2.4371\)