Do you remember the earlier study by Katz et al. that had students answer SAT-type questions without first reading the passage? (If not, look at Exercises 3.1 and 4.1.) Suppose that we gave out the answer sheets for our Psychology 1 exam mentioned in Exercise 6.3 but forgot to hand out the questions. If students just guessed at random, they would be expected to have a mean of 75 and a standard deviation of 7.5. The exam was taken by 100 students.
(a) Among those who guessed randomly, what would be the cutoff score for the top 10 students?
(b) What would be the cutoff score for the top 25% of the students?
(c) We would expect only 5% of the students to score below _______.
(d) What would you think if 25% of the students got more than 225 questions correct?