Researchers at Carleton University in Canada studied a random sample of 10 first-year students who lived on campus and a random sample of 10 first-year students who lived off campus. They measured the...

Researchers at Carleton University in Canada studied a random sample of 10 first-year students who lived on campus and a random sample of 10 first-year students who lived off campus.

They measured the weight gain of these students (in kg) during their first year of college. Their study yielded the following summary statistics:



On-campus    Off-campus

?1̅̅̅=2.46         ?2̅̅̅=0.85

?1 =3.26           ?2 =2.03

?1 =10               ?2 =10

Obtain a 95% confidence interval for the difference ?1 −?2 between the mean weight gain of first-year students who lived on-campus and first-year students who lived off-campus. Assume that the standard deviations of these two populations are different.