Question

Find the value x for which: (Use Table 4). (Round your answers to 2 decimal places.)

   

		x
a.	P(F(6,15) ≥ x) = 0.025
b.	P(F(6,15) ≥ x) = 0.050
c.	P(F(6,15) < x) = 0.025
d.	P(F(6,15) < x) = 0.050
*Please note* Two other people have already answer this question for others INCORRECTLY the answers are not 5.27, 3.94, .29, and .36 respectively.

Answer 1

We want to find, the value of x for f-test with given degrees of freedom and probability.

Using Excel we find, the value of X,

Command: = FINV(probability, df1, df2)

a) P(F(6, 15) >= x ) = 0.025

Command: =FINV(0.025, 6, 15) = 3.41

The value of X = 3.41

b) P(F(6, 15) >= x) = 0.050

Command: = FINV(0.050, 6, 15) = 2.79

The value of X = 2.79

c) P(F(6, 15) < x ) = 0.025

=> 1 - P(F(6, 15) >= x) = 0.025

=> P(F(6, 15) >= x) = 1 - 0.025

=> P(F(6, 15) >= x) = 0.975

Command: = FINV(0.975, 6, 15) = 0.19

The value of X = 0.19

d) P(F(6, 15) < x) = 0.050

=> 1 - P(F(6, 15) >= x) = 0.050

=> P(F(6, 15) >= x) = 0.950

Command: = FINV(0.950, 6, 15) = 0.25

The value of X = 0.25