Use the F-table and the reciprocal property of F-curves, if necessary, to find the required F-value(s).
-An F-curve has df = (24, 12). Determine the two F-values that divide the area under the curve into a middle 0.98 area and two outside 0.01 areas.
A)0.265 and 3.03
B)0.265 and 3.78
C)0.330 and 3.03
D)0.330 and 3.78

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 df = (24, 12). Determine the two F-values that divide the area under the curve into a middle 0.98 area and two outside 0.01 areas. 
A)0.265 and 3.03
B)0.265 and 3.78
C)0.330 and 3.03
D)0.330 and 3.78

Quizplus · Accepted Answer

The two F-values that divide the area under the curve into a middle 0.98 area and two outside 0.01 areas for df = (24, 12) are found using F-distribution tables or software. The lower value corresponds to the 0.01 area in the right tail (since F-distribution is not symmetric, we use the reciprocal property for the left tail), and the higher value corresponds to the 0.99 cumulative area. The correct values are approximately 0.330 and 3.78, considering the reciprocal property and the way F-distribution tables are typically used.

Use the F-Table and the Reciprocal Property of F-Curves, If