Final answer:
The estimated population mean annual salary for NCAA Division I head basketball coaches is calculated by adding the sample salaries and dividing by the total number of schools, resulting in 1.48 million dollars per year.
Step-by-step explanation:
To estimate the population mean annual salary for head basketball coaches at colleges and universities playing NCAA Division 1 basketball, we take the sample mean of the given salaries. First, we add up all the salaries from the 10 schools:
2.3 + 0.6 + 2.3 + 2.6 + 2.1 + 1.3 + 1.5 + 1.5 + 0.2 + 0.4 = 14.8 million dollars
Then we divide the total by the number of schools to find the mean:
14.8 million dollars / 10 schools = 1.48 million dollars per year
Therefore, the estimated population mean annual salary for head basketball coaches in NCAA Division I is 1.48 million dollars per year.