Question
A newspaper reports that college football coaches salaries have continued to increase in recent years. The annual base salaries for the previous head football coach
A newspaper reports that college football coaches salaries have continued to increase in recent years. The annual base salaries for the previous head football coach and the new head football coach at 23 schools are given in the file Coaches.
| School | Previous Coach's Salary ($) | New Coach's Salary ($) |
|---|---|---|
| College 1 | 850,000 | 3,250,000 |
| College 2 | 856,210 | 806,210 |
| College 3 | 3,500,000 | 2,250,000 |
| College 4 | 1,769,648 | 2,250,000 |
| College 5 | 725,000 | 2,053,500 |
| College 6 | 522,183 | 550,000 |
| College 7 | 375,797 | 390,000 |
| College 8 | 300,000 | 325,000 |
| College 9 | 1,700,000 | 2,051,250 |
| College 10 | 493,093 | 475,000 |
| College 11 | 1,936,225 | 1,750,000 |
| College 12 | 420,000 | 325,000 |
| School | Previous Coach's Salary ($) | New Coach's Salary ($) |
|---|---|---|
| College 13 | 3,500,000 | 1,850,000 |
| College 14 | 970,000 | 2,020,000 |
| College 15 | 401,820 | 525,000 |
| College 16 | 2,000,000 | 1,200,000 |
| College 17 | 790,000 | 750,000 |
| College 18 | 2,000,000 | 2,960,000 |
| College 19 | 2,150,000 | 1,950,000 |
| College 20 | 267,800 | 330,000 |
| College 21 | 475,000 | 850,000 |
| College 22 | 377,250 | 342,500 |
| College 23 | 2,600,000 | 1,800,000 |
(a) Determine the median annual salary (in dollars) for a previous head football coach and a new head football coach.
previous coach$ ____
new coach$ ____
(b) Compute the range for salaries (in dollars) for both previous and new head football coaches.
previous coaches$ ____
new coaches$ ____
(c) Compute the standard deviation for salaries (in dollars) for both previous and new head football coaches. (Round your answers to the nearest dollar.)
previous coaches$ ____
new coaches$ ____
(d) Based on your answers to (a) to (c), comment on any differences between the annual base salary a school pays a new head football coach compared to what it paid its previous head football coach.
The new coaches have a ---Select---( lower higher) median salary, a ---Select--- (smaller bigger) range, and a ---Select--- (lower higher) standard deviation than the previous coaches.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
a Arrange the salaries from lowest to highest for the previous coaches 267800 300000 3757973...
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Essentials Of Statistics For Business & Economics
Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
9th Edition
0357045432, 978-0357045435
