The annual salaries of all employees at a financial company are normally distributed with a mean mc014-1.jpg = $34,000 and a standard deviation mc014-2.jpg = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?
The z-score of a data is calculated through the equation, z-score = (x - m)/d where x is the given value, m is the mean, and d is the standard deviation. Substituting the known values, z-score = (28,000 - 34000) / 4,000 z-score = -1.5 Thus, the z-score of the 28,000 is -1.5.