Question

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 57%
C: Scores below the top 43% and above the bottom 24%
D: Scores below the top 76% and above the bottom 8%
F: Bottom 8% of scores

Scores on the test are normally distributed with a mean of 69.6 and a standard deviation of 9. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answer 1

9514 1404 393

Answer:

57 to 63

Explanation:

A suitable probability tool can tell you the limits.

8% of scores will be below 56.95 ≈ 57

76% of scores will be above 63.24 ≈ 63

Scores between 57 and 63 will get a D grade.