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In a college placement test the top 10% of students are placed in the honors program and the bottom 35% are placed in a college

In a college placement test the top 10% of students are placed in the honors program and the bottom 35% are placed in a college support program. Using a placement test with a mean of 82 and a standard deviation of 12, which scores represent the "cut off" for the upper 15% and the lower 30%?

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