The starting salary of an administrative assistant is normally distributed with a mean of $50,000 and a standard deviation of $2,500. We know that the probability of a randomly selected administrative assistant making a salary between μ − x and μ + x is 0.7416. Find the salary range referred to in this statement.
A) $42,825 to $52,825
B) $42,825 to $57,175
C) $47,175 to $52,825
D) $47,175 to $57,175

Question

Quizplus · Accepted Answer

The probability of 0.7416 corresponds to approximately ±1 standard deviation from the mean in a normal distribution. Therefore, the range is $50,000 ± $2,500, which is $47,500 to $52,500. However, the closest option is $47,175 to $52,825, considering rounding or approximation.

The Starting Salary of an Administrative Assistant Is Normally Distributed