Question: A criminologist has developed a test to measure self control. The test is normed so that it has a mean of 70 and a standard deviation of 20. The scores are normally distributed in the population of college students used to develop the test.

a. What is the percentile rank of a score of 40?

b. What percentage of scores falls between 35 and 90?

c. What is the standard score for a test score of 65?

d. What proportion of students should score above 115?

e. What is the cutoff score below which 87% of all scores fall?