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A psychology professor assigns letter grades on a test according to the following scheme. A: Top...

A psychology professor assigns letter grades on a test according to the following scheme.

A: Top 10% of scores

B: Scores below the top 10% and above the bottom 56%

C: Scores below the top 44% and above the bottom 23%

D: Scores below the top 77% and above the bottom 8%

F: Bottom 8% of scores

Scores on the test are normally distributed with a mean of 81.6and a standard deviation of 7.2 Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

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