Use the Given Process Data to Construct a Control Chart

question 30

Essay

Use the given process data to construct a control chart for p
-A machine is supposed to fill boxes to a weight of 50 lbs. Every 30 minutes a sample of four boxes is tested; the results are given below.
$\begin{array} { l|llll|l| } S&&A&&&M&R\\\hline 1&49&38&39&45&42.75&11\\2&52&51&43&61&51.75&18\\3&56&60&32&52&50&28\\4&44&59&45&49&49.5&15\\5&51&61&48&45&51.25&16\\6&45&50&46&48&47.25&5\\7&52&51&45&55&50.75&11\\8&40&50&53&48&47.75&13\\9&48&67&60&51&56.5&19\\10&43&50&50&47&47.5&7\\11&48&30&38&39&38.75&18\\12&50&46&48&53&49.25&7\\13&50&58&56&64&57&14\\14&47&52&47&49&48.75&5\\15&52&57&58&52&54.75&6\end{array}$

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Definitions:

Customer

Someone who pays for a product or service.

Geoffrey Moore

An American organizational theorist, management consultant, and author known for his work on the technology adoption life cycle and marketing strategies for high-tech products.

Chasm

A significant gap or barrier that must be overcome, often used metaphorically in business and technology adoption contexts.

Technology Adoption Life Cycle

A model in sociology which explains how a new product or innovation is adopted or accepted, based on the demographic and psychological traits of specific groups of adopters.