If the wages of workers for a given company are normally distributed with a mean of $15 per hour,then the proportion of the workers earning more than $13 per hour:
A)Is greater than the proportion earning less than $13 per hour.
B)Is greater than the proportion earning less than $18 per hour.
C)Is less than 50%.
D)Is less than the proportion earning more than the mean wage.
E)Is less than the proportion earning more than $14 per hour.

Question

Quizplus · Accepted Answer

Since the wages are normally distributed with a mean of $15 per hour, the distribution is symmetric about the mean. Therefore, the proportion of workers earning more than $13 per hour is equal to the proportion earning less than $17 per hour (which is the same distance from the mean in the opposite direction). However, $13 is closer to the mean than $17, so more workers will be earning more than $13 per hour than less than $17 per hour. Therefore, choice A is correct.

If the Wages of Workers for a Given Company Are