College students at a local community college take an average of 3.3 years to complete an AA (only counting semesters when officially enrolled).  A chancellor at a community college believes that the time to graduation could be high because of the large number of students who move out of their parents homes and move in with other students their age.  He theorizes that students who move into their own apartments will party more, focus less on their studies, and have to spend more time earning money, which will make them take longer to graduate.  To test his theory, the chancellor randomly selects 36 freshman who are planning to earn an AA and choosing to live in their own apartments while attending the college. The students in the sample took an average of 3.8 years to earn their AA (SS = 50.4).  Is there sufficient evidence to indicate, at the 5% level of significance (two-tailed), that community college students who lived on their own took more time to earn an AA?   Estimate Cohen's d (round to 2 decimal places). What percent of the variability in time taken to earn an AA was accounted for by a students decision to live on their own?  Round to the nearest whole percent.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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College students at a local community college take an average of 3.3 years to complete an AA (only counting semesters when officially enrolled).  A chancellor at a community college believes that the time to graduation could be high because of the large number of students who move out of their parents homes and move in with other students their age.  He theorizes that students who move into their own apartments will party more, focus less on their studies, and have to spend more time earning money, which will make them take longer to graduate.  To test his theory, the chancellor randomly selects 36 freshman who are planning to earn an AA and choosing to live in their own apartments while attending the college. The students in the sample took an average of 3.8 years to earn their AA (SS = 50.4).  Is there sufficient evidence to indicate, at the 5% level of significance (two-tailed), that community college students who lived on their own took more time to earn an AA?

 
Estimate Cohen's d (round to 2 decimal places).

What percent of the variability in time taken to earn an AA was accounted for by a students decision to live on their own?  Round to the nearest whole percent.

 
 
 
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