a student 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 four-year colleges surveyed, the mean enrollment was 5,466 with a standard deviation of 8,191. of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. test the student's claim at the 0.10 significance level.