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 5% of marathon runners. If the mean completion time of all marathons is 180 minutes with a standard deviation of 20 minutes, what qualifying time should the NYC Marathon organizers set so that only the top 5% 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 admitted entry to the NYC Marathon. minutes to ensure that only the top 5% of runners will be