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[Solution Library] The Department of Corrections implemented a new behavior monitoring program at the Marion Correctional Facility called H.O.P.E. (Helping

Question: The Department of Corrections implemented a new behavior monitoring program at the Marion Correctional Facility called H.O.P.E. (Helping Ourselves Pursue Excellence). The program is designed to "create safe places for learning and healthy relationships" and "to promote a sense of connectedness rather than individualism." (Source: http://www.drc.state.oh.us/Public/mci.htm) To determine the effectiveness of their program (this part is not real), they collected data regarding the number of incidences involving inmates in the 15 "wings" they have designated at the facility. The data collected for the number of incidents per month per wing are as follows:

Wing 1 2 3 4 5 6 7 8 9
Before HOPE 60 67 71 77 69 66 65 63 69
After HOPE 40 41 45 51 48 47 45 42 43
Wing 10 11 12 13 14 15
Before HOPE 73 74 79 72 71 63
After HOPE 48 49 50 45 42 37

Using this information, construct the 95% confidence interval to show the true difference in the mean number H.O.P.E. has reduced inmate incidences. Interpret your results by explaining your calculations and what they mean.

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