An assessment was given to 1,000 practicing health administrators to measure competency against a set of federal regulations and laws regarding privacy matters and health data. The mean score on the assessment was 64, and the standard deviation was 7.2.

A) Calculate the z-score, z = (x - )/, for a person with a score of 80.

B) Assuming a normal distribution, approximately what proportion of candidates would have scores equal to or higher than 80?

C) If the assessment required a z-score of 1.5 in order to be deemed proficient, what score must a candidate have earned to pass?

D) A candidate earned a z-score of 0.450. What would you tell him about his performance in general terms?

E) What proportion of students should be expected to obtain z-scores between +1 and -1?