At a college the scores on the chemistry final exam are approximately normally d

Question

At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 74 and a standard deviation of 10. The scores on the calculus final are also approximately normally distributed, with a mean of 81 and a standard deviation of 13. A student scored 82 on the chemistry final and 82 on the calculus final. Relative to the students in each respective class, in which subject did the student do better?

a) There is no basis for comparison

b) Calculus

c) The student did equally well in each course

d) Chemistry

e) None of the above

Explanation / Answer

here as z score is measure of relative strenght in one's group

z score for Chemistry =(X-mean)/std deviation =(82-74)/10=0.8

z score for Calculus=(X-mean)/std deviation =(82-81)/13=0.0769

as z score is bettwe for chemistry

student do better : in Chemistry

option D

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