One factor in rating a National Hockey League team is the meanweight of its players. A random sample of players from the DetroitRed Wings was obtained. The weight (in pounds) of each player wascarefully measured, and the resulting data have a sample size of 16with a sample mean of 202 pounds and a sample standard deviation of11.6 pounds. Assume that the distribution of the weights is normal.Please use 4 decimal places for all critical values.
(0.5 pts.) a) Find the 95% confidence interval for the true meanweight of the players from the Detroit Red Wings.
(0.5 pts.) b) Calculate the 95% lower bound of the true meanweight of the players from the Detroit Red Wings.
(1 pt.) Interpret your answer above (part b).
(1 pt.) c) Why is the lower limit from part a) different fromthe lower bound in part b)? Please explain your answer by listingthe symbols that are different between parts a) and b) and explainwhy the symbols are used.
d) The 95% confidence interval of the weights for the BostonBruins is (194.19, 205.81). If the true mean weights for the twoteams are different, then it is likely that there will be a morephysical game when the two teams meet. Is there any evidence tosuggest that the true mean player weight of Detroit is differentfrom that of Boston? Please explain your answer.
