Question

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	Roommate brought videogame	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

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 μN-μY, where μN 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:

Answer 1

Given: n: 88 = 3-128 , 石こ3.03g ~ 0,683 -gs.conf 'denceintesval for 시 (3-128-3-c39) ± 1-96-59)2 (-乙*-1-36 (6.625% 88 4 from 2-table 49. confidence interv 1S (-o.143, o.32