Most of you have had experience with exam scores that were rescaled so that the instructor could “grade on a curve.” Assume that a large Psychology 1 class has just taken an exam with 300 four{choice multiple{choice questions. (That’s the kind of Psych 1 exam I took when I was a student—honest. And then professors recruited students to grade them.) Assume that the distribution of grades is normal with a mean of 195 and a standard deviation of 30. Use the software by Soper (http://www.danielsoper.com/statcalc3/) or similar widely available software, to calculate the answers to the following questions.

a) What percentage of the counts will lie between 165 and 225?

b) What percentage of the counts will lie below 195?

c) What percentage of the counts will lie below 225?