Solve the problem.
-Suppose that the mean salary in a particular profession is $45,000 with a standard deviation of $2,000. To what percentile does a salary of $48,000 correspond?
A)41st
B)91st
C)43rd
D)93rd

Question

Quizplus · Accepted Answer

To find the percentile of a $48,000 salary, we first calculate the z-score: $z = \frac{X - \mu}{\sigma} = \frac{48000 - 45000}{2000} = 1.5$. Looking up a z-score of 1.5 in a standard normal distribution table or using a calculator, we find it corresponds to approximately the 93rd percentile.

Solve the Problem. -Suppose That the Mean Salary in a Particular Profession Is