Math Problem Statement
An English professor assigns letter grades on a test according to the following scheme.
A: Top 14% of scores
B: Scores below the top 14% and above the bottom 58% C: Scores below the top 42% and above the bottom 19% D: Scores below the top 81% and above the bottom 5% F: Bottom 5% of scores
Scores on the test are normally distributed with a mean of 82 and a standard deviation of 8.5 . Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Solution
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Math Problem Analysis
Mathematical Concepts
Normal Distribution
Percentiles
Z-scores
Formulas
X = μ + z * σ
Percentile-to-z-score conversion
Theorems
Standard Normal Distribution
Suitable Grade Level
College/University level
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