Astudent at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the united states. two surveys are conducted. of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. of the 35 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. conduct a hypothesis test at the 5% level. note: if you are using a student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (in general, you must first prove that assumption, though.)