Use the F-table and the reciprocal property of F-curves, if necessary, to find the required F-value(s).
-An F-curve has $\mathrm { df } = ( 4,15 )$. Find the F-value having area $0.975$ to its left.
A)$0.115$
B) $3.80$
C) $8.66$
D) $0.263$

Question

Use the F-table and the reciprocal property of F-curves, if necessary, to find the required F-value(s).
-An F-curve has $\mathrm { df } = ( 4,15 )$. Find the F-value having area $0.975$ to its left.  
A)$0.115$
B) $3.80$
C) $8.66$
D) $0.263$

Quizplus · Accepted Answer

The F-value with an area of 0.975 to its left corresponds to a significance level (alpha) of 0.025 (since 1 - 0.975 = 0.025) for the upper tail. Looking up the F-distribution table for df1 = 4 and df2 = 15 at alpha = 0.025, the closest value is $3.80$, which is the F-value for the given degrees of freedom and area to the left.

Use the F-Table and the Reciprocal Property of F-Curves, If df=(4,15)\mathrm { df } = ( 4,15 )df=(4,15)

Use the F-Table and the Reciprocal Property of F-Curves, If $\mathrm { df } = ( 4,15 )$