"Lawsuit Claims Nightclub Fired Waitresses for Being Too Short" was a headline of Fox5 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, 5ft. 3in and 5ft. 4in. 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 5ft. 3in. tall." Suppose that the height of a randomly selected adult woman is approximately normal with mean 64 inches and standard deviation 2.25 inches. Find the minimum height requirement that would exclude 92% of all women from being waitresses at this nightclub. Round your answer to one place after the decimal: inches.
"Lawsuit Claims Nightclub Fired Waitresses for Being Too Short" was a headline of Fox5 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, 5ft. 3in and 5ft. 4in. 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 5ft. 3in. tall."
Suppose that the height of a randomly selected adult woman is approximately normal with mean 64 inches and standard deviation 2.25 inches.
Find the minimum height requirement that would exclude 92% of all women from being waitresses at this nightclub. Round your answer to one place after the decimal: inches.
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