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.