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 studenthonest. 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 soft- ware, to calculate the answers to the following questions

1. a)What percentage of the counts will lie between 165 and 225?
2. b)What percentage of the counts will lie below 195?
3. c)What percentage of the counts will lie below 225?

Using the example from Exercise 6.3:

1. a)What two values ofX(the count) would encompass the middle 50% of the results?
2. b)75% of the counts would be less than ______.
3. c)95% of the counts would be between _______ and _______.

A dean must distribute salary raises to her faculty for next year. She has decided that the mean raise is to be $2,000, the standard deviation of raises is to be $400, and the distribution is to be normal. She will attempt to distribute these raises on the basis of merit, meaning that people whose performance is better get better raises.

1. a)The most productive 10% of the faculty will have a raise equal to or greater than $____.
2. b)The 5% of the faculty who have done nothing useful in years (and there are those
3. people) will receive no more than $____ each.