a. state the distribution to use for the test. (enter your answer in the form of z or tdf where df is the degrees of freedom. round to three decimals.)b. what is the test statistic?

6. [12/14 Points] DETAILS PREVIOUS ANSWERS ILLOWSKYINTROSTAT1 10.1.079.HW. MY NOTES ASK YOUR TEACHER 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 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.) Part (a)