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 percent.
D)Is less than the proportion earning more than the mean wage.

Question

Quizplus · Accepted Answer

Since the mean wage is $15 per hour and the distribution is normal, the proportion of workers earning less than $15 per hour should be 0.5 (50%). Therefore, the proportion of workers earning less than $13 per hour is less than 50%. On the other hand, the proportion of workers earning more than $15 per hour is also less than 50%, since the normal distribution is symmetric around the mean. Therefore, the only possible answer is A: the proportion of workers earning more than $13 per hour is greater than the proportion earning less than $13 per hour.

If the Wages of Workers for a Given Company Are