Question

Find the value x for which: (Round your answers to 2 decimal places. You may find it useful to reference the appropriate table: chi-square table or F table)

		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

Answer 1

1st degree of freedom v1 = 6 ; 2nd degree of freedom v2 = 15;

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

So we want x such that  P( F(6,15) ) < x ) = 0.975 ; From F-table x = 3.41

b. Following the method described in (a) , we get x = 2.79

c. We want x such that  P( F(6,15) ) < x ) = 0.025 ; From F-table,  x = 0.19

d. Using Similar method as in c, we get x = 0.25

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