The assumption(s) for to have an F-distribution is (are):
A) random samples are drawn from each of two normal populations
B) the samples are independent
C) the variability of the measurements in the two populations is the same and can be measured by a common variance,
D) all of these are required assumptions
E) none of these

Question

The assumption(s) for  to have an F-distribution is (are):
A) random samples are drawn from each of two normal populations 
B) the samples are independent 
C) the variability of the measurements in the two populations is the same and can be measured by a common variance, 
D) all of these are required assumptions 
E) none of these

Quizplus · Accepted Answer

All of these assumptions are required for 11eb6b9e_0621_6ac7_8d9d_f5f3ff2b80d7_TB8220_11 to have an F-distribution. The F-distribution is only valid when random samples are drawn from each of two normal populations, the samples are independent, and the variability of the measurements in the two populations is the same and can be measured by a common variance. Without any of these assumptions, the F-distribution is not applicable.

The Assumption(s) for to Have an F-Distribution Is (Are)