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Instruction 18-12
the Manufacturer of Canned Food Constructed Control Charts

question 83

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Instruction 18-12
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 kg. The table below provides the range and mean of the weights of five cans tested every 15 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} { | 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 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 Instruction 18-12,an R chart is to be used for the weight.The lower control limit for this data set is _______,while the upper control limit is _______


Definitions:

Commercial

Relating to business activities, transactions, or advertising intended to generate revenue.

Environmental Forces

External factors, including social, economic, technological, competitive, and regulatory forces, that can affect an organization's operations and business decisions.

Marketing Activities

Actions undertaken by a company to promote and sell its products or services, including advertising, sales promotions, and public relations.

Marketing Department

A division within a company responsible for promoting products or services, brand management, and market research.

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