John Calipari, head basketball coach for the 2012 nationalchampion University of Kentucky Wildcats, is the highest paid coachin college basketball, with an annual salary of $5.4 million. Thefollowing sample shows the head basketball coach's salary for asample of 10 schools playing NCAA Division I basketball. Salarydata are in millions of dollars.
Coach's salary for a sample of 10 schools| University | Coach's Salary |
| Indiana | 2.2 |
| Xavier | 0.5 |
| Texas | 2.4 |
| Connecticut | 2.7 |
| West Virginia | 2.0 |
| Syracuse | 1.5 |
| Murray State | 0.2 |
| Florida State | 1.5 |
| South Dakota State | 0.1 |
| Vermont | 0.2 |
a. Use the sample mean for the 10 schools to estimate thepopulation mean annual salary for head basketball coaches atcolleges and universities playing NCAA Division I basketball.
b. Use the data to estimate the population standard deviationfor the annual salary for head basketball coaches.
c. What is the 95% confidence interval for the populationvariance?
d. What is the 95% confidence interval for the populationstandard deviation?
e. What is the 95% confidence interval for the populationmean?
