The mean finish time for a yearly amateur auto race was 186.39 minutes with a st

Question

The mean finish time for a yearly amateur auto race was 186.39 minutes with a standard deviation of 0.309 minute. The winning car, driven by Frank, finished in 185.69 minutes. The previous year's race had a mean finishing time of 111.8 with a standard deviation of 0.141 minute. The winning car that year, driven by Julie, finished in 111.41 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.)

Explanation / Answer

z - score = (x - mean)/sd

For Frank z-score = (185.69 - 186.39)/0.309

                              = -2.265

For Julie z- score = (111.41 - 111.8)/0.141

                             = -2.766

Option - B is the correct answer.

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