A Test to Measure Psychotic Tendencies Was Given to a Group

Multiple Choice

A test to measure psychotic tendencies was given to a group of 1,000 potential air force cadets who wished to work in nuclear silos. Any cadet who scored at or over 64 would be eliminated. The mean of the test was 52 and the standard deviation was 12. Of the following scores, which is the highest z-score someone could receive and still be accepted to work in the silos?

A) 0
B) 1.5
C) 2
D) 2.5
E) 3