SOLUTION: To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 6% of the students in the district, based o
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Question 1081766: To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 6% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 115.7, find the cutoff score that will make a student eligible for the program. The standard deviation is 25. Assume the variable is normally distributed. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! the 94th percentile is at z=1.555
the 6th percentile is at z=-1.555
-1.555=(x-115.7)/25
multiply by 25 then add 115.7
score is 78.38. Below that is below the 6th percentile.