A student at a four-year college claims that average 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 average enrollment was 5065 with a standard deviation of 4775. Of the 35 four-year colleges surveyed, the average enrollment was 5216 with a standard deviation of 8151. Conduct a hypothesis test at the 5% level.

State the distribution to use for the test. (Enter your answer in the form z or t_df where df is the degrees of freedom. Round your answer to two decimal places.)

What is the test statistic? (Round your answer to two decimal places.)

Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.(i) Alpha: =