5. You have a sample of 125 offenders and you checked their employment records t

Question

5. You have a sample of 125 offenders and you checked their employment records to measure how many months they were unemployed before their last incarceration. The mean number of months unemployed before the last incarceration was 36, with a standard deviation of 9.  If you wanted to identify the top 25% of this group so that you could give job training to those who were out of work the longest, what would be the minimum number of months you could be out of work in order to qualify? (Hint: solve the z equation for x)

Explanation / Answer

z-score = (observation - mean)/standard deviation. So bylooking up the z-score for 75% under and 25% over, we get .773373.
.773373 = (x-36)/9. Solving for x, we get x = 42.9604. Therefore, we need at least 43 months.
43.

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