Question
In: Math
To qualify for a police academy, applicants are given a test of physical fitness. The scores...
To
qualify for a police academy, applicants are given a test of
physical fitness. The scores are normally distributed with a mean
of 64 and a standard deviation of 9. If only the to 20% of the
applicants are selected, find the cut off score.
Solutions
Expert Solution
The scores are normally distributed hence it follows Z distribution for calculation. In a normal distribution, the top 20% is the top 20% area in the bell curved area so, the Z score to the right of which 20% area lie has to be calculated using Z table shown below or using excel tool for more accuracy as:
Z=0.842
Now, Mean 
=64 and standard
deviation, 
so by using
Z score formula as:
Thus 71.578 will be the cutoff score.
The Z table is shown below:
milcah answered 1 day agoRelated Solutions
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