Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age, with a mean of 93 seconds and a standard deviation of 16 seconds. What would a man's running time have to be to put him in the top 1% of runners?
A)130.2 seconds
B)51.8 seconds
C)134.2 seconds
D)55.8 seconds

Question

Quizplus · Accepted Answer

To find the time that puts a runner in the top 1%, we need to find the z-score that corresponds to the 99th percentile of a standard normal distribution, which is approximately 2.33. Using the formula: time = mean + (z-score * standard deviation), we get: 93 + (2.33 * 16) = 55.8 seconds.

Running Times for 400 Meters Are Normally Distributed for Young