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Desert College and Oak Grove College are two local colleges. Abdul is 65 years old and a member of the faculty at Desert College. Carlos is 49 years old and a member of the faculty at Oak Grove College. For each college, the distribution of the ages of faculty members is clearly skewed (not approximately symmetric). The ages of faculty members at Desert College have a population mean of 59 years and a standard deviation of 2.1 years. The ages of faculty members at Oak Grove College have a population mean of 43 years and a standard deviation of 2.6 years. (a) Find the z-scores of Abdul's age as a faculty member at Desert College and Carlos's age as a faculty member at Oak Grove College. Round your answers to two decimal places. z-score of Abdul's age: z-score of Carlos's age: (b) Relative to his population, who is the younger faculty member? Choose the best answer based on the z-scores of the two ages. Abdul O Carlos O It is unclear who is the younger faculty member relative to his population

Desert College and Oak Grove College are two local colleges. Abdul is 65 years old and a member of the faculty at Desert College. Carlos is 49 years old and a member of the faculty at Oak Grove College. For each college, the distribution of the ages of faculty members is clearly skewed (not approximately symmetric). The ages of faculty members at Desert College have a population mean of 59 years and a standard deviation of 2.1 years. The ages of faculty members at Oak Grove College have a population mean of 43 years and a standard deviation of 2.6 years. (a) Find the z-scores of Abdul's age as a faculty member at Desert College and Carlos's age as a faculty member at Oak Grove College. Round your answers to two decimal places. z-score of Abdul's age: z-score of Carlos's age: (b) Relative to his population, who is the younger faculty member? Choose the best answer based on the z-scores of the two ages. Abdul O Carlos O It is unclear who is the younger faculty member relative to his population

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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## Comparing the Relative Sizes of Data Values Based on Their Z-Scores ### Scenario Description: Desert College and Oak Grove College are two local colleges. Abdul is 65 years old and a member of the faculty at Desert College. Carlos is 49 years old and a member of the faculty at Oak Grove College. For each college, the distribution of the ages of faculty members is clearly skewed (not approximately symmetric). The ages of faculty members at Desert College have a *population mean* of 59 years and a *standard deviation* of 2.1 years. The ages of faculty members at Oak Grove College have a *population mean* of 43 years and a *standard deviation* of 2.6 years. #### Tasks: **(a) Calculate the z-scores:** - Find the z-scores of Abdul's age as a faculty member at Desert College and Carlos's age as a faculty member at Oak Grove College. - Round your answers to two decimal places. - Z-score of Abdul's age: [___] - Z-score of Carlos's age: [___] **(b) Determine the younger faculty member:** - Relative to his population, decide who is the younger faculty member. Choose the best answer based on the z-scores of the two ages: - ○ Abdul - ○ Carlos - ○ It is unclear who is the younger faculty member relative to his population #### Diagram Explanation: There are no graphs or diagrams provided in this material. This exercise involves calculating and interpreting z-scores to understand how Abdul's and Carlos's ages compare to their respective faculty populations.
Transcribed Image Text:## Comparing the Relative Sizes of Data Values Based on Their Z-Scores ### Scenario Description: Desert College and Oak Grove College are two local colleges. Abdul is 65 years old and a member of the faculty at Desert College. Carlos is 49 years old and a member of the faculty at Oak Grove College. For each college, the distribution of the ages of faculty members is clearly skewed (not approximately symmetric). The ages of faculty members at Desert College have a *population mean* of 59 years and a *standard deviation* of 2.1 years. The ages of faculty members at Oak Grove College have a *population mean* of 43 years and a *standard deviation* of 2.6 years. #### Tasks: **(a) Calculate the z-scores:** - Find the z-scores of Abdul's age as a faculty member at Desert College and Carlos's age as a faculty member at Oak Grove College. - Round your answers to two decimal places. - Z-score of Abdul's age: [___] - Z-score of Carlos's age: [___] **(b) Determine the younger faculty member:** - Relative to his population, decide who is the younger faculty member. Choose the best answer based on the z-scores of the two ages: - ○ Abdul - ○ Carlos - ○ It is unclear who is the younger faculty member relative to his population #### Diagram Explanation: There are no graphs or diagrams provided in this material. This exercise involves calculating and interpreting z-scores to understand how Abdul's and Carlos's ages compare to their respective faculty populations.
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