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210 first-year college students were randomly assigned roommates. For the 78 students assigned to roommates who...

  1. 210 first-year college students were randomly assigned roommates. For the 78 students assigned to roommates who brought a videogame to college, the average GPA after the first semester was 2.84, and standard deviation was 0.669. For the 132 students assigned to roommates who did not bring a videogame to college, average GPA after the first semester was 3.105, and standard deviation was 0.625.
  1. Test at the 0.01 level whether being assigned a roommate who brings a videogame to college affects first semester GPA.
  2. Construct the appropriate confidence interval. Explain why the conclusion is the same.

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