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 proportion of candidates have a GPA under 3.0?
A)0.023
B)0.227
C)0.551
D)0.773

Question

Quizplus · Accepted Answer

We need to find the proportion of candidates who have a GPA under 3.0.

We can use the z-score formula to find the proportion:

z = (x - μ) / σ

where x is the value we are interested in (in this case, x = 3.0), μ is the mean (μ = 3.3), and σ is the standard deviation (σ = 0.4).

So,

z = (3.0 - 3.3) / 0.4 = -0.75

Using a standard Normal distribution table or calculator, we can find that the proportion of candidates with a GPA under 3.0 is approximately 0.227.

Therefore, the best choice is B.

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