Module 1 statistics

Question

possible The mean finish time for a yearly amateur auto race was 187.48 minutes with a standard deviation of 0.364 minute. The winning cardriven by Frank finished in 186.79 minutes . The previous year's race had a mean finishing time of 111.1 with a standard deviation of 0.131 minute. The winning car that year driven by Julie, finished in 110.83 minutes . Find their respective z-scores . Who had the more convincing victory ? Frank had a finish time with a z- score of Julie had a finish time with a z - score of Round to two decimal places as needed .) Which driver had a more convincing victory ?

Answer 1

Frank's z-score = (186.79-187.48)/0.364 = -1.9

Julie's z-score = (110.83-111.1)/0.131 = -2.06

Since Julie's z-score is lower than that of Frank's, then Julie did relatively better and had a more convincing victory. The more negative the z-score, the more relatively faster she was.

Hope this helped!