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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 that includes distribution graph.

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