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Essentials of Modern Business Statistics

During the $2007-2008 \mathrm{NCA}$ A college basketball season, men's basketball teams attempted an all-time-high number of 3 -point shots, averaging 19.07 shots per game (Associated

Press Sports, January $24,2009 ) .$ In an attempt to discourage so many 3 -point shots and encourage more inside play, the NCAA rules committee moved the 3 -point line back from

19 feet, 9 inches to 20 feet, 9 inches at the beginning of the $2008-2009$ basketball season.

Shown in the following table are the 3 -point shots taken and the 3-point shots made for a

sample of 19 NCA basketball games during the $2008-2009$ season.

a. What is the mean number of 3-point shots taken per game?

b. What is the mean number of 3-point shots made per game?

c. Using the closer 3 -point line, players were making 35.2$\%$ of their shots. What percentage of shots were players making from the new 3 -point line?

d. What was the impact of the NCAA rules change that moved the 3 -point line back to

20 feet, 9 inches for the $2008-2009$ season? Would you agree with the Associated

Press Sports article that stated, "Moving back the 3 -point line hasn't changed the game

dramatically"? Explain.