**Race Performance Analysis**Robert finished a triathlon in 64.5 minutes. Among all men in the race, the mean finish time was 69.4 minutes with a standard deviation of 8.9 minutes. Michelle ran the same triathlon and finished in 79.3 minutes. Among all women in the race, the mean finish time was 84.7 minutes with a standard deviation of 7.4 minutes. Who did better, relative to their gender? *Use the box to justify your choice/show your work.*O Robert O Michelle**Explanation:**The problem asks us to compare the performance of Robert and Michelle relative to their respective gender groups by using the concept of standard deviation. Robert's time: 64.5 minutes Men's mean time: 69.4 minutes Men's standard deviation: 8.9 minutesMichelle's time: 79.3 minutes Women's mean time: 84.7 minutes Women's standard deviation: 7.4 minutes To determine who performed better relative to their gender group, we calculate how many standard deviations each time is from the mean. This can be done using the Z-score formula:\[ Z = \frac{{X - \mu}}{\sigma} \]Where: - $ X $ is the individual's finish time- $ \mu $ is the mean finish time- $ \sigma $ is the standard deviation Calculate the Z-score for Robert and Michelle to see who performed better compared to their peers.

Answered: Robert finished a triathlon in 64.5…

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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Find the mean, median, mode, range, standard deviation, quartiles, and interquartile range.
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Use the range rule of thumb to identify the values that are significantly low, the values that are signficantly high, and the values that are neither significantly low nor significantly high. A test is used to assess readiness for college. In a recent year, the mean test score was 19.9 and the standard deviation was 4.7. Identify the test scores that are significantly low or significantly high. C What test scores are significantly low? Select the correct answer below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.) O A. Test scores that are less than O B. Test scores that are between OC. Test scores that are greater than and (Round to one decimal place as needed. Use ascending order.) (Round to one decimal place as needed.) What test scores are significantly high? Select the correct answer below and fill in the answer box(es) to complete your choice. O A. Test scores that are greater than O B. Test scores that are less than O C. Test…
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