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

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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. 

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