ct of College Roommates on Grades s exercise, we investigate answers to the questions: How much of an effect does your roommate have on your grades? In cular, does it matter whether your roommate brings a videogame to college? A study was conducted involving n = 210 first-year ents who were randomly assigned a roommate. Table 1 gives summary statistics on grade point average (GPA) for the first ester depending on whether the student and/or the roommate brought a videogame to campus. Student Roommate brought videogame videogame brought Sample size Mean GPA St. Dev. 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 We consider the effect of neither student bringing videogames compared to both students bringing them. (a) Find a 95% confidence interval for the difference in means between students in rooms in which neither the student nor the roommate brings a videogame and students in rooms in which both the student and the roommate bring a videogame HN - Hy. where uy represents mean GPA for students for whom neither the student nor the roommate brings a videogame and Hy idents for whom both the student and the roommate bring a videogame.

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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
videogame videogame
brought
Sample size Mean GPA
St. Dev.
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
We consider the effect of neither student bringing videogames compared to both students bringing them.
(a) Find a 95% confidence interval for the difference in means between students in rooms in which neither the student nor the
roommate brings a videogame and students in rooms in which both the student and the roommate bring a videogame HN - Hy.
where uy represents mean GPA for students for whom neither the student nor the roommate brings a videogame and µy
represents mean GPA for students for whom both the student and the roommate bring a videogame.
MacPook Air
DII
888
F10
FB
F9
F7
F4
F5
Transcribed Image Text: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 videogame videogame brought Sample size Mean GPA St. Dev. 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 We consider the effect of neither student bringing videogames compared to both students bringing them. (a) Find a 95% confidence interval for the difference in means between students in rooms in which neither the student nor the roommate brings a videogame and students in rooms in which both the student and the roommate bring a videogame HN - Hy. where uy represents mean GPA for students for whom neither the student nor the roommate brings a videogame and µy represents mean GPA for students for whom both the student and the roommate bring a videogame. MacPook Air DII 888 F10 FB F9 F7 F4 F5
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