A set of final examination grades in an introductory statistics course is normallydistributed, with a mean of 78 and a standard deviation of 8.

If the professor grades on a curve(for example, the professor could giveA's to the top10% of theclass, regardless of thescore), is a student better off with a grade of 94 on the exam with a mean of 78 and a standard deviation of 8 or a grade of 72 on a differentexam, where the mean is 69 and the standard deviation is 3? Show your answer statistically and explain.

part 1

A student is

better of or worse off?

part 2

with a grade of 94 on the exam with a mean of 78 and a standard deviation of 8 because the Z value for the grade of 94 is

Part 3

and the Z value for the grade of 72 on the different exam is