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. $\bar { F } _ { B }$ 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

Question

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. $\bar { F } _ { B }$ 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

Quizplus · Accepted Answer

The degrees of freedom are $df_1 = 24$ and $df_2 = 15$. For $\alpha = 0.10$, the critical values are found using the F-distribution table. The upper critical value $F_R$ is 2.2878, and the lower critical value $F_L$ is the reciprocal of the F-value with interchanged degrees of freedom, which is 0.4745.

When Performing a Hypothesis Test for the Ratio of Two FRF _ { R }FR​

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