Solve the Problem $\mathrm { F }$ Value Is Denoted $F _ { R }$

question 72

Multiple Choice

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

• A) \(0.3931,4.1468\)
• B) \(0.2411,4.1468\)
• C) \(0.2150,4.8232\)
• D) \(0.2150,5.5996\)

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