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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.

- 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.

**a.**

To determine

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

**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).

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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