mpact 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 emester depending on whether the student and/or the roommate brought a videogame to campus. Student brought Roommate brought videogame videogame No No Yes Yes No Yes No Yes Sample size 88 44 38 40 Mean GPA 3.128 3.039 2.932 2.754 St. Dev. 0.590 0.689 0.699 0.639 Table 1 Videogames and GPA Considering only students whose roommate does not bring a videogame to campus, find a 99% confidence interval for the difference in mean GPA between students who bring a videogame and those who do not bring a videogame - Hy, where y represents the mean GPA for students who do not bring a videogame and jy represents the mean GPA for students who do bring a videogame. Round your answers to three decimal places.

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