For the upcoming Fall semester, freshmen are hunting for dorms and apartments. In order to assist the families to find the most suitable apartment, the University sampled the current off-campus apartments and found out that the one bedroom apartment in Austin ranges from $768~$1170 per month. Refer to the data-set named Student Survey (sheet 1) to answer the following questions about the sample.

1. At the .05 significance level for a two-tailed test, can we conclude that there is a difference in the mean renting prices of apartments with a community gym and apartments without a gym?

2. Assuming we know that the Sample Standard Deviations are: X: s = $20.00, X: s = $35.00. Can we conclude that there is a difference in the mean renting prices of apartments within 5 minutes walking distance from campus and apartments that are 10 minutes walking distance from campus?Test at the .05 significance level for a two-tailed test.

Many college student juggle school work, a job, and a social life. The University developed a Stress Reduction program. After the first population of students had completed the program the data collected during the program needed to be analyzed. Your job is to figure out if the program worked, did students stress level decreased. Refer to the data-set named Student Survey (sheet 2), which reports a sample of the students who completed the program, with their scores on a stress level inventory before the program (X) and after completing the program (X). Answer the following question.

3. At the .05 significance level for a one-tailed test, can we conclude that there is a difference in the mean stress level before intervention and after intervention?