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 following sample 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. University Coach's Salary University Coach's Salary Indiana 2.2 Syracuse 1.5 Xavier 0.5 Murray State 0.2 Texas 2.4 Florida State 1.5 Connecticut 2.7 South Dakota State 0.1 West Virginia 2 Vermont 0.2 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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Please answer the questions in the photo and explain. Thank you
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 following sample 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.
University Coach's Salary
University
Coach's Salary
Indiana
2.2
Syracuse
1.5
Xavier
0.5
Murray State
0.2
Texas
2.4
Florida State
1.5
Connecticut
2.7
South Dakota State
0.1
West Virginia
2
Vermont
0.2
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?
Transcribed Image Text: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 following sample 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. University Coach's Salary University Coach's Salary Indiana 2.2 Syracuse 1.5 Xavier 0.5 Murray State 0.2 Texas 2.4 Florida State 1.5 Connecticut 2.7 South Dakota State 0.1 West Virginia 2 Vermont 0.2 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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