Based on information about the Miami Heat Basketball team, throughout the years 2010 and 2011, the members of the team had a mean number of free throws attempted of 27.9 with a standard deviation of...

Based on information about the Miami Heat Basketball team, throughout the years 2010 and 2011, the members of the team had a mean number of free throws attempted of 27.9 with a standard deviation of 7.88 for the 82 games played. Over a ten-year period, the mean number of free throws attempted by all NBA teams is 25.0. There are 82 games in the regular season.

1. Construct and interpret a 95% confidence interval for the mean number of free throws attempted by the Miami Heat over this time period.

2. Is there sufficient evidence to say that the mean number of free throws attempted by the Heat is different from the mean for all NBA teams?

Extracted text: In a study of Americans from a variety of professions were asked if they considered themselves left-handed, right-handed, or ambidextrous. The results are given below: Profession Right Left Ambidextrous Total Psychiatrist 101 10 7 118 Architect 115 26 148 Orthopedic Surgeon 121 132 Lawyer 83 16 105 Dentist 116 10 132 Total 536 67 32 635