5. A common design requirement for aircraft seats is they must fit the range of people who fall between the 5th percentile for women and the 95th percentile for men. If this requirement is adopted, what are the minimum and maximum sitting distances (i.e., legroom)? For the sitting distance, use the buttock-to-knee length. Assume men's buttock-to-knee lengths are normally distributed with = 59.7 cm (23.5 in.) and = 2.8 cm (1.1 in.), and women's buttock-to-knee lengths are normally distributed with = 57.6 cm (22.7 in.) and = 2.54 cm (1.0 in.).