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Exam Scores An instructor gives a 100-point examination in
Chapter 6, Problem 38E(choose chapter or problem)
Exam Scores An instructor gives a 100-point examination in which the grades are normally distributed. The mean is 60 and the standard deviation is 10. If there are 5% A’s and 5% F’s, 15% B’s and 15% D’s. and 60% C’s, find the scores that divide the distribution into those categories.
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QUESTION:
Exam Scores An instructor gives a 100-point examination in which the grades are normally distributed. The mean is 60 and the standard deviation is 10. If there are 5% A’s and 5% F’s, 15% B’s and 15% D’s. and 60% C’s, find the scores that divide the distribution into those categories.
ANSWER:Step 1 of 3
Given the mean \(\mu\) is 60 and the standard deviation \(\sigma\) is 10.
From the given information we know that the bottom 5% get an F.
The upper cutoff value for D is 5% + 15% = 20% = 0.20.
The upper cutoff value for C is 5% + 15% + 60% = 80% = 0.80.
The upper cutoff value for B is 5% + 15% + 60%15% = 95% = 0.95.
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