The Anxiety General Stress Test (ANGST) has been designed to gauge the level of psychological stress management trainees experience when they are under pressure.
For a random sample of trainees the scores are as follows: 47, 49, 53, 53, 54, 58, 61, 64, 75, 81.
Complete the calculations below using this data. Show all of your work and clearly label each of your calculations.
a. What is the z score equivalent of ANGST = 81?
b. What is the probability that someone selected at random will score 81 or lower?
c. What percentage of all trainees will score between 60 and 75?