what qualifying time should the NYC Marathon organizers set so that only the top 9% of runners will be admitted entry to the NYC Marathon
The New York City Marathon is a highly selective race. One way to gain entry into the race is to qualify based on a time from a prior-completed marathon. The NYC Marathon's organizers use this method to limit admission to the top 9% of marathon runners. If the mean completion time of all marathons is 199 minutes with a standard deviation of 18 minutes, what qualifying time should the NYC Marathon organizers set so that only the top 9% of runners will be admitted entry to the NYC Marathon? Round the solution to one decimal place , if necessary . The qualifying time should be set to minutes to ensure that only the top 9% of runners will be admitted entry to the NYC Marathon.
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