SOLUTION: In order to qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 68 and a standard deviation of 8. If o

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Question 1081762: In order to qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 68 and a standard deviation of 8. If only the top 21% of the applicants are selected, find the cutoff score. Round the z-value calculations to 2 decimal places.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is at z=0.81 (really between .80 and .81.
0.81=(x-68)/8; z=(x-mean)/sd
6.48=x-68
x=74.48 is cut off score, anything above that.