In 2018, Mike Krzyewski and John Calipari topped the list of highest-paid college basketball coaches (Sports Illustrated website, https://www.si.com/college-basketball/2018/03/01/highest-paid-college-basketball -coaches-salaries-mike-krzyewski-john-calipari). 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 Coach's Salary University Coach's Salary North Carolina State 2.2 Miami (FL) 1.5 Creighton Texas Tech lona .5 1.3 Texas A&M 2.4 1.5 Oregon 2.7 South Dakota State .3 lowa State 2.0 New Mexico State .3