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

Question

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 10% of marathon runners. If the mean completion time of all marathons is 179 minutes with a standard deviation of 17 minutes, what qualifying time should the NYC Marathon organizers set so that only the top 10% 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 10% of runners will be

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