Solve the Problem $$\begin{array} { l l l l l l l l } 14.6 & 13.8 & 14.1 & 13.7 & 14.0 & 14.4 & 13.6 & 14.2\end{array}$$

Solve the problem.
-A cereal company claims that the mean weight of the cereal in its packets is 14 oz. The weights (in ounces) of the
cereal in a random sample of 8 of its cereal packets are listed below. $$\begin{array} { l l l l l l l l } 14.6 & 13.8 & 14.1 & 13.7 & 14.0 & 14.4 & 13.6 & 14.2\end{array}$$ Test the claim at the 0.01 significance level.