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 73 and a standard deviation of 13. The scores on the calculus final are also approximately normally distributed, with a mean of 75 and a standard deviation of 12. A student scored 80 on the chemistry final and 83 on the calculus final. Relative to the students in each respective class, in which subject did the student do better?

a) The student did equally well in each course

b) Calculus

c) Chemistry

d) There is no basis for comparison

e) None of the above

Explanation / Answer

college the scores on the chemistry final exam are approximately normally distributed, with a mean of 73 and a standard deviation of 13.

Let x=80

Now z=(x-Mu)/Sigma

z=(80-73)/13 =0.54 -------> eq.1

The scores on the calculus final are also approximately normally distributed, with a mean of 75 and a standard deviation of 12.

Let x=83

Now z=(x-Mu)/Sigma

z=(83-75)/12 =0.67 -------> eq.2

from eq1 and 2 we conclude that

In chemistry they are performing well since z score is lessin chemistry comparing to calculas

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