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 brought videogame No The 90% confidence interval is i Yes No Yes Roommate brought videogame No No Yes Yes Sample size Mean GPA 88 44 38 40 128 ! to i 3.039 2.932 2.754 St. Dev. 0.590 0.689 0.699 Table 1 Videogames and GPA Considering only students who do not bring a videogame to campus, find 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 μN - μy, where UN represents the mean GPA for students whose roommate does not bring a videogame and μy represents the mean GPA for students whose roommate does bring a videogame. Round your answers to three decimal places. 0.639 !

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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
brought
videogame
No
The 90% confidence interval is i
Yes
No
Yes
Roommate
brought
videogame
No
No
Yes
Yes
Sample size Mean GPA
88
44
38
40
3.128
! to i
3.039
2.932
2.754
St. Dev.
0.590
0.689
0.699
Table 1 Videogames and GPA
Considering only students who do not bring a videogame to campus, find 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 μN - μy, where
μN represents the mean GPA for students whose roommate does not bring a videogame and μy represents the mean GPA for
students whose roommate does bring a videogame.
Round your answers to three decimal places.
0.639
!
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 brought videogame No The 90% confidence interval is i Yes No Yes Roommate brought videogame No No Yes Yes Sample size Mean GPA 88 44 38 40 3.128 ! to i 3.039 2.932 2.754 St. Dev. 0.590 0.689 0.699 Table 1 Videogames and GPA Considering only students who do not bring a videogame to campus, find 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 μN - μy, where μN represents the mean GPA for students whose roommate does not bring a videogame and μy represents the mean GPA for students whose roommate does bring a videogame. Round your answers to three decimal places. 0.639 !
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