Over 10,000 runners competed in a large urban marathon. The times of the runners follow a normal distribution. Using the information given below, determine the means and the standard deviation for the runner's times. Give your answers in hours, minutes, and seconds.
Only 16% of the runners were able to finish in less than 3 hr 43 min 31 sec.
97.5% of the runners needed at least 2 hr 54 min 54 sec to complete the marathon.
Mean: