**6. Correct. The
answer is true. **Let m=8, n-10, s_{1}^{2}=20 and s_{2}^{2}=36.
Thus

_{}.

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