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USA Today reports that NCAA colleges and universities are paying higher salaries to a newly recruited football coach compared to what they paid their previous football coach. ( USA Today , February 12, 2013). The annual base salaries for the previous head football coach and the new head football coach at 23 schools are given in the DATAfile Coaches. a. Determine the median annual salary for a previous head football coach and a new head football coach. b. Compute the range for salaries for both previous and new head football coaches. c. Compute the standard deviation for salaries for both previous and new head football 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.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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Chapter
Section
BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 3, Problem 63SE
Textbook Problem
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USA Today reports that NCAA colleges and universities are paying higher salaries to a newly recruited football coach compared to what they paid their previous football coach. (USA Today, February 12, 2013). The annual base salaries for the previous head football coach and the new head football coach at 23 schools are given in the DATAfile Coaches.

  1. a. Determine the median annual salary for a previous head football coach and a new head football coach.
  2. b. Compute the range for salaries for both previous and new head football coaches.
  3. c. Compute the standard deviation for salaries for both previous and new head football coaches.
  4. 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.

a.

To determine

Find the median annual salary for a previous head football coach and a new head football coach.

Explanation of Solution

Calculation:

The given information is that the data represent the annual base salaries for the previous head football coach and the new head football coach at 23 schools.

Software Procedure:

Step by step procedure to obtain the median using the MINITAB software:

  • Choose Stat > Basic Statistics > Display Descriptive Statistics.
  • In Variables enter the columns Previous coaches salary and New coaches salary...

b.

To determine

Find the range for both previous and new head football coaches.

c.

To determine

Find the standard deviation for salaries of both previous and new head football coaches.

d.

To determine

Explain whether there is any difference between the annual base salary a school pays a new head football coach compared to what it paid its previous head football coach, based on the answer to (a) to (c).

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Chapter 3 Solutions

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