6.93 Faculty Salaries Several years ago, OCUFA President Michael Piva wrote a very helpful explana- tion of university salary structures, the nature of career development increments, and the problems created when they are mistaken for or misrepresented as "raises." A 1988 study by Hal Management Consul- tants showed that university faculty career earnings were demonstrably lower than comparable positions in the private or public sector. It was reported that assis- tant professors of age 30 and under with PhDs earned an average (median) of $74,000 per year. Suppose that these salaries are normally distributed, with a standard deviation of $6000.

a. What proportion of assistant professors will have salaries less than $65,000?

b. What proportion of assistant professors will have salaries between $65,000 and $70,000?