Concept explainers
To calculate: percentile and z-score of M and explain whether M has a high salary or a low salary.
Answer to Problem 16E
Here 48.28% player's salary on the World Champion 2008 Philadelphia Phillies baseball team is less than M's salary and percentile was 50%,
Explanation of Solution
Given:
Calculation:
M's salary in 2008 was
This means 48.28% player's salary on the World Champion 2008 Philadelphia Phillies baseball team less than M's salary. Note that we could also argue that since M's salary was the median, his percentile would be 50%.
The standardized score for M's salary is obtained below:
M had a typical salary compared to the rest of the team since his percentile was 50%, but there were some players who made much more than he did since his z-score is negative, indicating a salary below the mean team salary.
Conclusion:
Therefore 48.28% player's salary on the World Champion 2008 Philadelphia Phillies baseball team is less than M's salary and percentile was 50%,
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Fundamentals of Statistics (5th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Statistics for Business and Economics (13th Edition)
Elementary Statistics Using Excel (6th Edition)
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