863 Words4 Pages

6. During the2007-2008 NCAA college basketball season, men’s basketball teams attempted an all-time-high number of 3-point shots averaging 19.07 shots per game. 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.
a. What is the means number of 3-point shots taken per game?
350/19 = 18.42105 = 18.42
b. What is the means number of 3-point shot made per game?
120/19 = 6.315789 = 6.32
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?
120/ 350 = 0.343 = 34.3%
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
The impact shows -.65% which is not a huge reduction. I agree that moving the 3-point line hasn’t changed the game much.
31. The national average for the math portion of the College Board’s SAT is 515. The College Board periodically rescales the test score such that the standard deviation is approximately 100. Answer the following questions using a bell shaped distribution and the empirical rule for the verbal test scores.
a. What percent of students have an SAT math score greater than 615?
615 – 515/ 100 = 1
P [Z > 1] = 0.5 – P [Z < 1] (greater than or equal to)
= 0.5 – 0.3413
= 0.1587
= 15.87%
b. What percent of students have an SAT math score greater than 715?
715-515/ 100 = 2
P [Z > 2] = 0.5 – P [Z < 2] (greater than or equal to)
=0.5 – 0.4772
P (X > 715) = 0.0228
2.28%
c. What percent of students have an SAT math score

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