SCENARIO 18-9
the Manufacturer of Canned Food Constructed Control Charts

question 48

Essay

SCENARIO 18-9
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 18-9, construct an $\bar { X }$ chart for the weight.

---

Definitions:

Arctic National Wildlife Refuge

A protected area in Alaska, United States, known for its natural beauty, diverse wildlife, and ongoing debates over oil exploration.

Oil Sands

Deposits of bitumen or extremely heavy crude oil that can be mined and processed to extract the oil, primarily found in Alberta, Canada.

Crude Oil

A naturally occurring, unrefined petroleum product composed of hydrocarbon deposits and other organic materials.

Fukushima Nuclear Accident

A major nuclear disaster that occurred at the Fukushima Daiichi Nuclear Power Plant in Japan in March 2011, caused by a tsunami following a massive earthquake.