The ages (in years) of tenured and tenure-eligible (TTE) male professors at 4-year colleges and universities are described by the relative frequency histogram in Fig. 122. The mean age is 51.3 years, and the standard deviation is 12.0 years.

a. Why can the Empirical Rule be applied?
b. Use the Empirical Rule to approximate the percentage of TTE male professors who have ages within one standard deviation of the mean.
c. Use the Empirical Rule to approximate the percentage of TTE male professors who have ages between 27.3 and 75.3 years.
d. Use the relative frequency histogram to estimate the percentage of TTE male professors who have ages between 30 and 75 years.
e. Explain why the result you found in part (d) implies that the estimate you found in part (c) is too low.

Transcribed Image Text:

Ages of Male Professors 0.15 0.14 0.14 0.12 0.13 0.12 0.1 0.1 0.1 0.08 0.05 0.05 0.02 25 30 35 40 45 50 55 60 65 70 75 Age (years)