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

question 229

True/False

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, based on the X chart, it appears that the process is in control.

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Definitions:

CRA

Canadian Revenue Agency, an agency that administers tax laws for the Canadian government and for most provinces and territories, or Community Reinvestment Act, a U.S. federal law designed to encourage commercial banks and savings associations to help meet the needs of borrowers in all segments of their communities.