SOLUTION: 3. A set of final exam scores in an introductory statistics course is normally distributed with a mean of 73 and a standard deviation of 8. If this professor grades on a curve

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Question 924481: 3. A set of final exam scores in an introductory statistics course is normally distributed with a mean of 73 and a standard deviation of 8.
If this professor grades on a curve and gives A’s to the top 10% of the class regardless of the score, is the student better off with a score of 81 on this exam or a grade of 68 on a different exam from the same professor where the mean is 62 and the standard deviation is 3?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
the professor grades on a curve and gives A’s to the top 10% of the class regardless of the score
...
1st scenario: mean = 73, sd = 8
score 81
z = invNorm(.90) = 1.282
1.282*8 + 73 = 85 (least score to receive an A)
..........
2nd scenario: mean = 66, sd = 3
score 68
1.282*3 + 62 = 66 (least score to receive an A) **** better off

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