- A Common Statistic Used In Basketball Analytics To Measure The Offensive Efficiency Of A Team Is The Effective Field Goa 1 (62.91 KiB) Viewed 39 times
A common statistic used in basketball analytics to measure the offensive efficiency of a team is the effective field goal percentage. For teams in the NCAA, effective field goal percentage follows a normal distribution with mean 49.8 and a standard deviation of 3.14. If we define X = effective field goal percentage, then X-N(49.8, 3.14). (a). (5 points) What effective field goal percentage for a NCAA basketball team would be considered the 90th percentile? (b). (5 points) What is the probability that a randomly selected NCAA basketball team has an effective field goal percentage between 45 and 55? (c). (6 points) If we take a random sample of 16 NCAA basketball teams, what is the probability that their mean effective field goal percentage exceeds 50?