6. Incorrect. The answer is true.


Let m=8, n-10, s12=20 and s22=36. Thus


The number of degrees of freedom for numerator and denominator are v1=m-1=7 and v2=n-1=9. Now if S12 is more than twice S22, i.e. S12 > 2S22, then F>3.70. Referring to the tables, the probability is less than 0.05 but more than 0.01.