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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