Answer
There is sufficient evidence to reject that the means are equal.
Work Step by Step
The null hypothesis here says that $\mu_1=\mu_2=\mu_3$. Given: $F=10.10,P=0.001.$
If the P-value is less than the significance level, then this means the rejection of the null hypothesis. Hence: P is less than $α=0.01$, hence we reject the null hypothesis. Thus we can say that there is sufficient evidence to reject that the means are equal.