1 Suppose that the random variable F follows an F distributi

1. Suppose that the random variable F follows an F distribution with 3 degrees of freedom in the numerator and 10 degrees of freedom in the denomenator, i.e., F F (3, 10).

(a) Use Excel to find P(F > 4).
(b) Use Table E to find a range for P(F > 4).

2. Suppose that F F (10, 3).
(a) Use Excel to find P(F > 4).
(b) Use Table E to find a range for P(F > 4).

Solution

To find the probability to the right of a calculated value, f

P[F > f] = FDIST(f, df1 ,df2)

We have given,

the random variable F follows an F distribution with 3 degrees of freedom in the numerator and 10 degrees of freedom in the denomenator, i.e., F F (3, 10).

i.e. df1 = 3 , df2 = 10 , f = 4

Therefore, P[F> 4 ] = FDIST(4,3,10) = 0.041348

Q2) Suppose that F F (10, 3).

Therefore, P[F> 4 ] = FDIST(4,10,3) = 0.140448