The annual commissions per salesperson employed by a manufacturer of light machinery averaged $40,000 with a standard deviation of $5,000. What percent of the sales persons earn between $32,000 and $42,000?
A) 60.06%
B) 39.94%
C) 34.13%
D) 81.66%
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The distribution is approximately normal. Using the standard normal distribution, the z-scores for $32,000 and $42,000 are -1.6 and 0.4, respectively. The percentage of data between these z-scores is approximately 60.06%.

The Annual Commissions Per Salesperson Employed by a Manufacturer of Light