At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. the scores on the calculus final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. a student scored 81 on the chemistry final and 84 on the calculus final. relative to the students in each respective class, in which subject did this student do better?

Using z-scores, it is found that due to equal z-scores, the student performed the same relative to the classes in each subject.

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Z-score:

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Chemistry:

The z-score is:

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Calculus:

The z-score is:

Due to equal z-scores, the student performed the same relative to the classes in each subject.

A similar problem is given at link

Calculus

Step-by-step explanation:

Given

Chemistry score are normally distributed with a mean score of 75 and standard deviation 12

Calculus score

For chemistry

For calculus

From Z score it is clear that student score better marks in calculus.

answer: answer

step-by-step explanation: