SCENARIO 15-9
the Manufacturer of Canned Food Constructed Control Charts

question 59

Short Answer

SCENARIO 15-9
The manufacturer of canned food constructed control charts and analyzed several quality characteristics.One characteristic of interest is the weight of the filled cans.The lower specification limit for weight is 2.95 pounds.The table below provides the range and mean of the weights of five cans tested every fifteen minutes during a day's production. $\begin{array}{|r|r|r|r|r|r|}\hline \text { Number } & \text { XBar } &{\text { Range }} & \text { Number } & \text { XBar } & {\text { Range }} \\\hline 1 & 3.05072 & 0.0215 & 16 & 3.04646 & 0.073 \\\hline 2 & 3.01228 & 0.087 & 17 & 3.03868 & 0.0696 \\\hline 3 & 3.03558 & 0.0851 & 18 & 3.03338 & 0.0329 \\\hline 4 & 3.01014 & 0.0674 & 19 & 3.03322 & 0.0455 \\\hline 5 & 3.00858 & 0.0983 & 20 & 3.05078 & 0.0215 \\\hline 6 & 3.02704 & 0.0527 & 21 & 3.04808 & 0.0396 \\\hline 7 & 3.04268 & 0.0508 & 22 & 3.05348 & 0.0581 \\\hline 8 & 3.01052 & 0.0791 & 23 & 3.05516 & 0.0682 \\\hline 9 & 3.03464 & 0.0663 & 24 & 3.03426 & 0.0325 \\\hline 10 & 3.02034 & 0.0538 & 25 & 3.0516 & 0.0641 \\\hline 11 & 3.03764 & 0.0584 & 26 & 3.05562 & 0.0809 \\\hline 12 & 3.0409 & 0.0434 & 27 & 3.04402 & 0.0374 \\\hline 13 & 3.0519 & 0.0762 & 28 & 3.06458 & 0.0284 \\\hline 14 & 3.03994 & 0.0833 & 29 & 3.0544 & 0.0738 \\\hline 15 & 3.03788 & 0.0601 & & & \\\hline\end{array}$
-Referring to SCENARIO 15-9, an X chart is to be used for the weight.One way to obtain the control limits is to take the grand mean and add and subtract the product of A2 times the mean of the sample ranges.For this data set, the value of A2 is .

---

Definitions:

Boundary-spanning Network

A social network that extends beyond the internal boundaries of an organization to include external contacts and resources.

Groupthink

A psychological phenomenon that occurs within a group of people, where the desire for harmony and conformity results in irrational or dysfunctional decision-making outcomes.

Relationship Strength

The degree of closeness, connectedness, and positive regard within a relationship.

Reciprocity

The exchange of resources, services, or obligations between individuals or groups, often with the expectation of mutual benefit.