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A student at a four-year college claims that average enrollment at four-year colleges is higher than...

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 5062 with a standard deviation of 4773. Of the 35 four-year colleges surveyed, the average enrollment was 5366 with a standard deviation of 8171. 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.)

----Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value---

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