lary for a sample of 10 schools playing NCAA Division 1 basketball. Salary data are in millions of y Coach's Salary University Coach's Salary 2.2 Syracuse 1.5 .5 Murray State .2 2.4 Florida State 1.5 ut inia e sample mean for the 10 schools to estimate the population mean annual salary for head basket 2.7 South Dakota State .1 2.0 Vermont .2 sities playing NCAA Division 1 basketball (to 2 decimals). e data to estimate the population standard deviation for the annual salary for head basketball co: s the 95% confidence interval for the population variance (to 2 decimals)? s the 95% confidence interval for the population standard deviation (to 2 decimals)?

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**University Basketball Coach Salaries**

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 1 basketball. Salary data are in millions of dollars.

| University     | Coach’s Salary |
|----------------|----------------|
| Indiana        | 2.2            |
| Xavier         | 0.5            |
| Texas          | 2.4            |
| Connecticut    | 2.7            |
| West Virginia  | 2.0            |

| University     | Coach’s Salary |
|----------------|----------------|
| Syracuse       | 1.5            |
| Murray State   | 0.2            |
| Florida State  | 1.5            |
| South Dakota State | 0.1       |
| Vermont        | 0.2            |

**Questions**:

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 1 basketball (to 2 decimals).

b. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches (to 4 decimals).

c. What is the 95% confidence interval for the population variance (to 2 decimals)?

d. What is the 95% confidence interval for the population standard deviation (to 2 decimals)?
Transcribed Image Text:**University Basketball Coach Salaries** 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 1 basketball. Salary data are in millions of dollars. | University | Coach’s Salary | |----------------|----------------| | Indiana | 2.2 | | Xavier | 0.5 | | Texas | 2.4 | | Connecticut | 2.7 | | West Virginia | 2.0 | | University | Coach’s Salary | |----------------|----------------| | Syracuse | 1.5 | | Murray State | 0.2 | | Florida State | 1.5 | | South Dakota State | 0.1 | | Vermont | 0.2 | **Questions**: 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 1 basketball (to 2 decimals). b. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches (to 4 decimals). c. What is the 95% confidence interval for the population variance (to 2 decimals)? d. What is the 95% confidence interval for the population standard deviation (to 2 decimals)?
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