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City sheriffs use exams as part of their promotion process and officers have to score higher...

City sheriffs 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. Assume exam scores are normally distributed.

a)Calculate the z score for Officer #1. Will he be promoted?

b)Calculate the z score for Officer #2. Will she be promoted?

Please give the z score for each officer's exam and the result.

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