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

question 12

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 $F _ { 1 } - \alpha / 2$ . $\alpha = 0.10$ Find the critical values $F _ { L } \text { and } F _ { R }$ for a two-tailed hypothesis test based on the following values: $n _ { 1 } = 25 , n _ { 2 } = 16$

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

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