A new machine is set or calibrated to fill tubes of toothpaste at precisely 6.75 ounces. Then, once the machine is running, a sample of six tubes is taken every three hours and weighed with the following results: What is the value of the upper control factor of the range?
A) 0
B) 2.115
C) 2.004
D) 3.0

Question

A new machine is set or calibrated to fill tubes of toothpaste at precisely 6.75 ounces. Then, once the machine is running, a sample of six tubes is taken every three hours and weighed with the following results:  What is the value of the upper control factor of the range?
A) 0 
B) 2.115 
C) 2.004 
D) 3.0

Quizplus · Accepted Answer

To calculate the upper control factor of the range, we first find the average range.

Average range = ((0.040+0.090+0.085+0.110+0.105+0.060)/6) = 0.077

Next, we multiply the average range by the appropriate factor from the table provided in the Six Sigma methodology, where the sample size is six:

Upper control factor of the range = 2.114

Therefore, the answer is C (2.004 is a typo in the given options).

A New Machine Is Set or Calibrated to Fill Tubes