Five track athletes are in the running for the Athletic performance of the Year
ID: 3365923 • Letter: F
Question
Five track athletes are in the running for the Athletic performance of the Year award. A panel of coaches is trying to decide which athlete is the most deserving to win the award? Assume all distributions follow a Normal Curve. Javier - threw the javelin 215 feet. For javelin throws, µ = 152.08 ft and = 15.85 ft Chance - ran a 400m time of 46.99 sec. For 400m runs, µ = 52.6 seconds and = 1.01 seconds Derrick - ran a 36.26 sec. time in the hurdles. For hurdles, µ = 41.77 seconds and = 1.49 seconds Chad - Ran a 100m time of 10.59 secs.. For 100m runs, µ = 11.603 seconds and = 0.29 seconds Kayden - threw the discuss 180 ft. For discuss throws, µ = 122.4 ft and = 14.38 ft. a). Calculate a standard score for each athlete's performance. b) Compare the standard scores to rank the athletes c). Write a paragraph to communicate quantitative information about the relative performance of these athletes. Make appropriate references to the player's achievements and their standard scores in your defense to the claims you make about which athlete's performance is the most spectacular.
Explanation / Answer
note that in javenlin throw and discuss throw the higher the X , better the performance
but in rest running event, less the X , better the performance
hence we change the sign in these three events
a)
z =(X -mean)/sd
standard scores are modified Z
b) higher the modified Z ,better the performance
c) Chance in 400 M is best performer as its z-score is highest.
mean sd X z modified Z 152.08 15.85 215 3.969716088 3.969716088 52.6 1.01 46.99 -5.554455446 5.554455446 41.77 1.49 36.26 -3.697986577 3.697986577 11.603 0.29 10.59 -3.493103448 3.493103448 122.4 14.38 180 4.005563282 4.005563282Related Questions
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