two independent samples are selected from two normally distr

two independent samples are selected from two normally distributed populations have variances of sigma1^2 and sigma2^2 with n1=10 and n2=15. the degrees of freedom for the f distribution when testing the equality of the two population variances is

a. 10m15

b. 11,16

c. 9,14

d. 8,13

Solution

The degree of fredom in calculating the f-test of the two sample variance is 1 minus the sample size

Thus the degree of freedom is equal to ,n1-1 =>10-1 =9

and the other degree of freedom is n2-1 =>15-1=14

answer is option C