Designing a Roller Coaster The Rock ’n’ Roller Coaster at Disney–MGM Studios in Orlando has two seats in each row. When designing that roller coaster, the total width of the two seats in each row had to be determined. In the “worst case” scenario, both seats are occupied by men. Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in. (based on anthropometric survey data from Gordon, Churchill, et al). Assume that two male riders are randomly selected.

a. Find the probability that their mean hip width is greater than 16.0 in.

b. If each row of two seats is designed to fit two men only if they have a mean hip breadth of 16.0 in. or less, would too many riders be unable to fit? Does this design appear to be acceptable?