Northeastern University (NU) wants to analyze the summer break party habits of its students during college relative to during high school (HS). A random sample of 9 NU students was take. The sample reveals the following number of parties attended during summer break.
During HS 1 3 5 3 1 1 3 3 2
During NU 0 8 3 2 7 4 7 3 6
At the .05 level of significance, is there evidence a NU student parties more, on average, during college than during HS summer break? (Assume the population of differences follows a normal distribution).
Show work (explain) that includes distribution graph.