Police departments use exams as part of their promotion process where officers have to score higher than 80% of those taking the exam to be considered for promotion. Two officers write their exams.  Officer 1 receives a grade of 76 and Officer 2 receives a grade of 52.  The mean for all officers taking the exam is 62 with a standard deviation of 11.   A) Calculate the z-score for officer #1. Was this score high enough to be considered for promotion? B) Calculate the z-score for officer #2. Was this score high enough to be considered for promotion?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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Police departments use exams as part of their promotion process where officers have to score higher than 80% of those taking the exam to be considered for promotion. Two officers write their exams.  Officer 1 receives a grade of 76 and Officer 2 receives a grade of 52.  The mean for all officers taking the exam is 62 with a standard deviation of 11. 

 A) Calculate the z-score for officer #1. Was this score high enough to be considered for promotion?

B) Calculate the z-score for officer #2. Was this score high enough to be considered for promotion?

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