A quality control manager at a plant that produces o-rings is concerned about whether the diameter of the o-rings that are produced is conformable to the specification. She has calculated that the average diameter of the o-rings is 4.2 centimeters. She also knows that approximately 95% of the o-rings have diameters fall between 3.2 and 5.2 centimeters and almost all of the o-rings have diameters between 2.7 and 5.7 centimeters. When modeling the diameters of the o-rings, which distribution should the quality control manager use?
A) Poisson distribution
B) binomial distribution
C) normal distribution
D) none of the above

Question

Quizplus · Accepted Answer

The normal distribution is the best choice for modeling the diameters of the o-rings because the manager has calculated the mean diameter and has information on the range of diameters that most of the o-rings fall within. Additionally, the normal distribution is commonly used for continuous data that can take on a range of values. The Poisson distribution and binomial distribution are better suited for discrete data, which is not the case here. Therefore, the best choice for the distribution is the normal distribution.

A Quality Control Manager at a Plant That Produces O-Rings