Of the 1,395 colleges in the U.S., 364 have 2-year programs, and 1,031 are 4-year schools. Suppose a random sample of forty 2-year schools and a random sample of sixty 4-year schools were taken. The sample means and standard deviations of the numbers of students enrolled in the past year in business statistics courses are given in the table below. At the .01 level of significance is there a significant difference in the mean number of students enrolled at 2 and 4 year schools? Sample Mean Sample Standard Deviation2-Year Schools 154.3 87.34-Year Schools 411.8 219.9