A psychologist working with a group of mentally retarded adults desires to estimate their averagereaction time to a certain stimulus. He feels that men and women probably will show adifference in reaction times so he wants to stratify on sex. The group of 96 people contains 43men. In previous studies of this type it has been observed that the times range from 5 to 20seconds for men and 3 to 14 seconds for women. The costs of sampling are the same for bothstrata. Using optimum allocation find the approximate sample size necessary to estimate theaverage reaction time for the group to within 1 second.