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

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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.  Number  XBar  Range  Number  XBar  Range 13.050720.0215163.046460.07323.012280.087173.038680.069633.035580.0851183.033380.032943.010140.0674193.033220.045553.008580.0983203.050780.021563.027040.0527213.048080.039673.042680.0508223.053480.058183.010520.0791233.055160.068293.034640.0663243.034260.0325103.020340.0538253.05160.0641113.037640.0584263.055620.0809123.04090.0434273.044020.0374133.05190.0762283.064580.0284143.039940.0833293.05440.0738153.037880.0601\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.  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.


Definitions:

Equity Method

An accounting technique used when a company holds a significant but not controlling investment in another company, recognizing its share of the investee's profits and losses.

Cash Flow Statement

A financial statement that shows the cash inflows and outflows for a company over a period, including operating, investing, and financing activities.

Investing Activities

Transactions related to buying or selling long-term assets and investments other than cash equivalents.

Unrealized Gains/Losses

Financial gains or losses on investments or assets that have not yet been sold or converted into cash.

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