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

question 231

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.The center line of this chart is located at .

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Definitions:

Anal Stage

A phase in Freudian psychosexual development occurring from approximately 18 months to 3 years, characterized by pleasure in controlling bowel and bladder movements.

Psychosexual Development

Freud's theory suggesting human personality development occurs through stages during childhood, each characterized by sexual pleasure in parts of the body.

Freudian Theory

Freudian Theory proposes that human behavior is influenced by unconscious desires, memories, and conflicts.

Electra Complex

A psychoanalytic theory that describes a girl's sense of competition with her mother for the affection of her father.