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

question 27

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, $F _ { \mathrm { L } }$ , 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: $n _ { 1 } = 25 , n _ { 2 } = 16 , \alpha = 0.10$

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

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