Pizazz manufactures a 5.0 oz.energy drink of the same name.Because the cans are so small,consumers are concerned that they are not receiving the full 5 ounces in each can.A quality engineer at the company is charged with analyzing the filling process and ensuring accurate readings.On 15 different occasions over the past month,she has taken a sample of 6 energy drinks off the production line and recorded their weight.If the sum of the sample means is 80.20 ounces and the sum of the sample ranges is 12.68 ounces,the UCL for an R-chart of this process would be
A)0.0
B)1.0
C)1.7
D)2.4

Question

Quizplus · Accepted Answer

To find the Upper Control Limit (UCL) for an R-chart, we need to use the following formula:
UCL = D4*R
where D4 is a constant factor we can find in a table provided in quality control textbooks, and R is the average range of the sample ranges. The value of D4 for a sample size of 6 is 2.575. 
We are given that the sum of the sample ranges is 12.68 ounces, so the average range is 12.68/15 = 0.8453 ounces. 
Substituting these values in the formula, we get 
UCL = 2.575 * 0.8453 = 2.174, which rounds up to 1.7 (since we are only given whole numbers as answer choices). 
Therefore, the best choice is C.

Pizazz Manufactures a 5