Question: I recently competed in a 5K race that had a mean finish time of = 24.3 minutes and standard deviation = 4.0 minutes.The finish times

I recently competed in a 5K race that had a mean finish time of = 24.3 minutes and standard deviation = 4.0 minutes.The finish times were normally distributed.

b)Using the empirical rule, find the range of times in which 95% of the runners finished the race.

Would either of these finish times be considered unusual?Explain.

a)15.9 minutes

b)31.6 minutes

If my finish time was 22.1 minutes,

a)Calculate the z-score for my time.

Z=(22.1-24.3)/4= -.55

b)What percentage of runners had a faster finish time?

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