Answer:
Option B.
Step-by-step explanation:
Given information:
A group of middle management employees approximated a normal distribution.
Population mean [tex]\mu[/tex] = $37,200
Population standard deviation [tex]\sigma[/tex] = $800
About 68 percent of the incomes lie between two incomes and we need to find those two incomes.
We know that 68% data lies in the interval [tex][\mu-\sigma,\mu+\sigma][/tex].
[tex]\mu-\sigma=37,200-800=36,400[/tex]
[tex]\mu+\sigma=37,200+800=38,000[/tex]
About 68 percent of the incomes lie between what two incomes $36,400 and $38,000.
Therefore, the correct option is B.