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Question: Sports and Leisure One factor in rating a National Hockey League team is the mean weight of its players. A random sample of players from five teams was obtained. The weight (in pounds) of each player was carefully measured, and the resulting data are given in the following table.

1272_Team.png

a. Assuming normality, find a 95% confidence interval for the true mean weight of players for each hockey team.

b. The sample size for Boston and San Jose is the same. Why is the 95% confidence interval for the weight of San Jose players wider?

c. If the true mean weight for two teams is different, then it is likely that there will be a more physical game when the two teams meet. Is there any evidence to suggest that the true mean player weights are different from Boston and San Jose? Justify your answer.

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