Problem

res for the California Peace Officer Standards and Training test are normally distributed, with of 50 and a standard deviation of 9 . An agency will only hire applicants with scores in the top That is the lowest score an applicant can earn and still be eligible to be hired by the agency? oints) The lowest score is

Answer

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Answer

The final answer is 65

Steps

Step 1 :The mean score for the California Peace Officer Standards and Training test is μ=50

Step 2 :The standard deviation of the scores is σ=9

Step 3 :The agency will only hire applicants with scores in the top 5%, which corresponds to the 95th percentile

Step 4 :To find the lowest score for the top 5%, we need to find the z-score that corresponds to the 95th percentile

Step 5 :The z-score for the 95th percentile is z=1.6448536269514722

Step 6 :We use the z-score formula to find the lowest score: X=μ+zσ

Step 7 :Substitute the known values into the formula: X=50+1.64485362695147229

Step 8 :Calculate the lowest score: X=64.80368264256325

Step 9 :Round the lowest score to the nearest whole number: X=65

Step 10 :The final answer is 65

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