Math Problem Statement
A humanities professor assigns letter grades on a test according to the following scheme.
A: Top 12% of scores
B: Scores below the top 12% and above the bottom 64%
C: Scores below the top 36% 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 65.7 and a standard deviation of 8.9 . Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Solution
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Math Problem Analysis
Mathematical Concepts
Normal Distribution
Percentiles
Z-Scores
Formulas
Z = (X - μ) / σ
X = Z * σ + μ
Theorems
Normal Distribution Percentile Calculation
Suitable Grade Level
College
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