Instruction 18-15
the Manufacturer of Canned Food Constructed Control Charts

question 24

Short Answer

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

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Definitions:

Measure

A quantitative or qualitative assessment tool or method used to evaluate, compare, or track performance or productivity.

Motivating Their Workforces

The process or methods by which an organization encourages and stimulates its employees to perform to their highest ability.

Nonprofits

Entities organized for purposes other than generating profit, where surplus revenues are used to further their philanthropic or community-focused objectives.

Competitive Salaries

Wage offerings that are attractive in the job market to lure and retain top talent, often compared to what is offered by other organizations within the same industry.