Solve the Problem $$\begin{array} { l l l l l l l l l l l } 146 & 140 & 160 & 151 & 134 & 189 & 157 & 144 & 175 & 127 & 164\end{array}$$

Essay

Solve the problem.
-A simple random sample of 15-year old boys from one city is obtained and their weights (in pounds) are listed
below. Use a 0.01 significance level to test the claim that these sample weights come from a population with a
mean equal to 147 lb. Assume that the standard deviation of the weights of all 15-year old boys in the city is
known to be 16.7 lb. Use the traditional method of testing hypotheses. $$\begin{array} { l l l l l l l l l l l } 146 & 140 & 160 & 151 & 134 & 189 & 157 & 144 & 175 & 127 & 164\end{array}$$