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 top 20% of the applicants are selected, find the cutoff score.
Added by Lisa M.
Step 1
We need to find the cutoff score for the top 20% of applicants. This means we are looking for the score above which 20% of the scores lie, given that the scores are normally distributed with a mean (μ) of 64 and a standard deviation (σ) of 9. Show more…
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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 top $20 \%$ of the applicants are selected, find the cutoff score.
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