Lawsuit Claims Nightclub Fired Waitresses for Being Too Short" was a headline of Fox 5 News New York. According to the report, two women filed suit against their previous employer, a prominent New York nightclub, after the two aspiring petite actresses, 5 ft. 3 in and 5 ft. 4 in. respectively, were fired for being too short to meet the club's image requirement. The report also claims that these two waitresses "are both roughly the same size as the average American woman at 5 ft. 3 in. tall." Suppose that the height of a randomly selected adult woman is approximately normal with mean 66 inches and standard deviation 2.5 inches.
Find the minimum height requirement that would exclude 91% of all women from being waitresses at this nightclub.