The managers of a production line that fills cereal boxes would like to reach a Six Sigma level of quality in terms of product weight.The desired range of output extends from 10 to 16 ounces.In order to reach Six Sigma quality,what would the maximum standard deviation of output need to be?
A)1 ounce
B)2 ounces
C)0.5 ounces
D)Not enough information is given to answer the question.

Question

Quizplus · Accepted Answer

Six Sigma quality means that the process should produce results that are within 6 standard deviations (3 on each side of the mean) of the desired range. The range is 6 ounces (from 10 to 16 ounces), so to fit 6 standard deviations within this range, each standard deviation must be 1 ounce (6 ounces / 6). However, since Six Sigma includes 3 standard deviations on each side of the mean, the maximum standard deviation to cover half the range (3 ounces) with 3 standard deviations is 1 ounce divided by 2, which is 0.5 ounces.

The Managers of a Production Line That Fills Cereal Boxes