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

question 54

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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