A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-step interview process. Unfortunately, there are usually more candidates who complete the interview process than the number of new positions that are available. As a result, cumulative GPA is used as a tie-breaker. GPAs for the successful interviewees are Normally distributed, with a mean of 3.3 and a standard deviation of 0.4. What percent of candidates have a GPA above 3.9?
A)2.3%
B)6.7%
C)93.3%
D)97.7%

Question

Quizplus · Accepted Answer

We need to find the percentage of candidates with a GPA above 3.9.

First, we standardize the GPA of 3.9 using the formula:

z = (x - μ) / σ

where x is the value (3.9), μ is the mean (3.3), and σ is the standard deviation (0.4).

z = (3.9 - 3.3) / 0.4 = 1.5

Using a standard normal distribution table, we can find the area to the right of z = 1.5:

P(z > 1.5) = 0.0668

So, approximately 6.68% of candidates have a GPA above 3.9. Therefore, the best choice is B.

A High-Profile Consulting Company Chooses Its New Entry-Level Employees from a Pool