John calipari, head basketball coach for the 2012 national champion University of Kentucky Wildcats, is th ehighest paid coach in college basketball with an annual salary of $5.4 million. The sample below shows the head basketball coach's salary for a sample of ten schools playing NCAA Division I basketball. Salary Data are in millions of dollars.
|
University
|
Coach's Salary
|
University
|
Coach's Salary
|
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Indiana
|
2.2
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Syracuse
|
1.5
|
|
Xavier
|
.5
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Murray State
|
.2
|
|
Texas
|
2.4
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Florida State
|
1.5
|
|
Connecticut
|
2.7
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South Dakota State
|
.1
|
|
West Virginia
|
2.0
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Vermont
|
.2
|
a. Use the sample mean for the 10 Schools to estimate the population meanannual salary for head basketball coaches at colleges ans universities playing NCAA Division I basketbal.
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 populaton standard deviation.