of the 1395 colleges in the US 364 have 2 yr programs and 1031 are yr schools. suppose a random sample of forty 2 yr schools and a random sample of 60 4 yr schools were taken. the sample mean for the 2 yr school is 154.3 and standard deviation is 87.3. the 4 yr school sample mean is 411.8 and standard deviation of 219.9. at the .01 level of significance is there a significant difference in the mean number of students enrolled at 2 and 4 ye schools?