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Impact of College Roommates on Grades In this exercise, we investigate answers to the questions: How much of an effect does your roommate have on your grades? In particular, does it matter whether your roommate brings a videogame to college? A study was conducted involving n = 210 first- year students who were randomly assigned a roommate. Table 1 gives summary statistics on grade point average (GPA) for the first semester depending on whether the student and/or the roommate brought a videogame to campus. Student Roommate brought brought Sample size Mean GPA St. Dev. videogame videogame No No 88 3.128 0.590 Yes No 44 3.039 0.689 No Yes 38 2.932 0.699 Yes Yes 40 2.754 0.639 Table 1 Videogames and GPA Considering only students who do not bring a videogame to campus, find a 99% confidence interval for the difference in mean GPA between students whose roommate does not bring a videogame and those whose roommate does bring a videogame UN - My, where My represents the mean GPA for students whose roommate does not bring a videogame and My represents the mean GPA for students whose roommate does bring a videogame. Round your answers to three decimal places. The 99% confidence interval is 1 to e Textbook and Media