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 149 lb. Assume that the standard deviation of the weights of all 15-year old boys in the city is known to be 16.2 lb. Use the traditional method of testing hypotheses. 147, 138, 162, 151, 134 ,189, 157, 144, 175, 127, 164. Assume that a simple random sample has been selected from a normally distributed population and test the given claim.