John Calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is the highest paid coach in college basketball with an annual salary of $5.4 million (USA Today, March 29, 2012). The sample below shows the head basketball coach's salary for a sample of 10 schools playing NCAA Division I basketball. Salary data are in millions of dollars.

a. Use the sample mean for the 10 schools to estimate the population mean annual salary for head basketball coaches at colleges and universities playing NCAA Division I basketball.
b. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches.
c. What is the 95% confidence interval for the population variance?
d. What is the 95% confidence interval for the population standard deviation?

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University Indiana Xavier Texas Connecticut West Virginia Coach's Salary 2.2 .5 2.4 2.7 2.0 University Syracuse Murray State Florida State South Dakota State Vermont Coach's Salary 1.5 .2 1.5 .2