SOLUTION: Police departments use exams as part of their promotion process and officers have to score higher than 80% of those taking the test to be considered for promotion. Officer #1 recei

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Question 1124921: Police departments use exams as part of their promotion process and officers have to score higher than 80% of those taking the test to be considered for promotion. Officer #1 receives a raw score of 74 and Officer #2 receives a raw score of 68. The mean of all the exam scores is 65 with a standard deviation of 9.
1) Calculate the z score for Officer #1. Will he be promoted?
2) Calculate the z score for Officer #2. Will she be promoted?
Please give the z score for each officer's exam and the result.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
80%ile is z=+0.84 z=(x-mean)/sd
z=(74-65)/9=+1. That is enough for consideration.
z=(68-65)/9=+0.33. That isn't enough for consideration.