An experiment is conducted with \(k=5\) treatments, one covariate \(x\), and \(n=6\). Calculations result in the sums of squares error \(S S E_{x}=14.4, S S E_{t r}=4.69\), and \(S S E_{t r, x}=1.21\). Assuming that the analysis of covariance model is reasonable, conduct the \(F\)-test for treatment differences and the \(F\)-test for the covariate \(x\). Take \(\alpha=0.01\).