As in Most Professional Sports,statistics Are Collected in the National

Multiple Choice

As in most professional sports,statistics are collected in the National Hockey League.In the 2006-2007 season,teams played 82 games.A team was awarded 2 points for a win and 1 point if the game was tied at the end of regulation time but then lost in overtime.For each of the 30 teams,data on the number of goals scored per game (Goals/G) and the percentage of the 164 possible points they won (Win%) during the season were collected.The following graph shows the plotted points for the variables Win% and Goals/G and the simple linear regression line fitted using least squares. From the computer output for the least-squares fit,the estimated equation was found to be = 0.398,and = 60.29.Also,it was determined from the output that = 12.800 and = 4.418.For the 2006-2007 season,teams scored an average of = 2.88 goals per game.For the population of teams that score 2.5 goals per game,the standard error of the estimated mean Win% is = 2.197.What is the estimated mean Win% for the population of teams that score 2.5 goals per game?

A) 42.7%
B) 53.6%
C) 48.5%
D) 55.7%
E) Not within ± 2% of any of the above