Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000.The salary distribution is approximately bell-shaped.What can be said about the percentage of salaries that are less than $68,000 or more than $92,000?
A)About 5 percent
B)About 32 percent.
C)About 68 percent.
D)About 95 percent.

Question

Quizplus · Accepted Answer

Using the empirical rule for a normal distribution (68-95-99.7 rule), about 68% of the data falls within one standard deviation, 95% within two, and 99.7% within three. Salaries less than $68,000 or more than $92,000 are more than two standard deviations from the mean, so about 5% of salaries fall outside this range.

Professors at a Local University Earn an Average Salary of $80,000