SOLUTION: A local medical research association proposes to sponsor a footrace. The average time it takes to run the course is 33.2 minutes with standard deviation of 4.9 minutes. The associa

Question 868731: A local medical research association proposes to sponsor a footrace. The average time it takes to run the course is 33.2 minutes with standard deviation of 4.9 minutes. The association decides that only the fastest 14% of runners who finish the race will receive a complimentary running suit. Assuming the times are normally distributed, determine the interval of times for prize winners.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
z = invNorm(.15) = 1.0803
1.0803 = (X-33.2)/4.9
1.0803*4.9 + 33.2 = X = 38.49347 0r 38.5
X ≥ 38.5 for prize winners
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