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 Yes No Yes Roommate brought videogame 2 No Yes Yes Sample size Mean GPA 88 44 38 40 to i 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 HN - Hy, where N represents the mean GPA for students who do not bring a videogame and μy represents the mean GPA for students who do bring a videogame. Round your answers to three decimal places. The 99% confidence interval is i

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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
Yes
No
Yes
Roommate
brought
videogame
No
No
Yes
Yes
Sample size Mean GPA
88
to
44
38
40
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 N - Hy, where μN represents the
mean GPA for students who do not bring a videogame and y represents the mean GPA for students who do bring a videogame.
Round your answers to three decimal places.
The 99% confidence interval is i
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 Yes No Yes Roommate brought videogame No No Yes Yes Sample size Mean GPA 88 to 44 38 40 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 N - Hy, where μN represents the mean GPA for students who do not bring a videogame and y represents the mean GPA for students who do bring a videogame. Round your answers to three decimal places. The 99% confidence interval is i
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