In order to qualify for federal assistance for a remedial education program, a state must provide an estimate of the mean level of education of unemployed youths less than or equal to 21 years of age. Previous studies of this population have found that the standard deviation of years of education is 6.7 years. If state administrators must be 99 percent certain that their mean estimate is within two (2) years of the actual mean, how large a sample of the targeted population should be drawn?