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Imagine you work in a probation office. Your supervisor is interested in the mean monthly number of parolees the office handles. They believe the number

Imagine you work in a probation office. Your supervisor is interested in the mean monthly number of parolees the office handles. They believe the number is greater than 155. Your supervisor wants to determine if they are correct and has asked you to investigate. If they can prove that the true monthly number of parolees is greater than 155, they can start the process of hiring another parole officer.

You collect monthly data from the past five years and then randomly sample 30 months.The results of your sample and your calculations are shown in the Excel file provided in the assignment instructions in Blackboard.

Student should Use t-test
Mean 155.93
Median 159.0000
Sample Standard Deviation 18.827590
n= 30
df= 29
Confidence Level= 0.95
t= 2.045
E= 7.030338
Confidence Interval Lower Limit 148.90300
Confidence Interval Upper Limit 162.9637
Null Hypothesis =155
Alternative Hypothesis >155
What type of Test Statistic did you use and why?

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