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Project 3: Examining the Effect of Videogames on Grades How much of an effect does your roommate have on your grades? Does it matter whether your roommate brings a videogame to college? The study included n = 210 first-year students who were randomly assigned a roommate. The table below 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. You may work in pairs. Student brought Roommate videogame brought Sample size Mean GPA Std. Dev. 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 1. Considering only students who do not bring a videogame to campus and whose roommate does not bring a videogame, find and interpret a 95% confidence interval for the mean GPA. (4 points) 2. Considering only students who do bring a videogame to campus, find and interpret a 90% 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. Comment on the effect on these students of having a roommate bring a videogame to campus. (4 points)3. Considering only students who do bring a videogame to campus and whose roommate does bring a videogame, can we conclude the students' average GPA is less than 3.0? Complete the appropriate test using (I. = .05. (5 points) 4. Considering only students who do not bring a videogame to campus, test to see if there is a difference in the mean GPA between students whose roommate does not bring a videogame and those whose roommate does bring a Videogame. Complete the appropriate test using at : .05 and comment on the effect on these students of having a roommate bring a videogame to campus. (5 points) 5. Can we conclude that bringing Videogames to campus reduces GPA? Why or why not? (2 points)