Suppose that a producer of 50 pound bags of potting soil decides that bag weight variation within a range of +/- 2 pounds will be acceptable to customers.To deliver a six sigma level of quality for this product,the bagging process will need to have a standard deviation not larger than:
A)2 pounds
B)4 pounds
C)0.33 pounds
D)0.17 pounds

Question

Quizplus · Accepted Answer

A six sigma level of quality means that the process variation fits within +/- 3 standard deviations on either side of the mean. Since the acceptable range is 4 pounds in total (2 pounds on each side), dividing this by 6 (the number of standard deviations in a six sigma level) gives 0.33 pounds as the maximum allowable standard deviation.

Suppose That a Producer of 50 Pound Bags of Potting