Use the Given Process Data to Construct a Control Chart

question 34

Essay

Use the given process data to construct a control chart for p
-A machine that is supposed to produce ball bearings with a diameter of 7 mm yields the following data from a test of 5 ball bearings every 20 minutes.
$\begin{array} { l|lllll|l| } S&&&A&&&M&R\\\hline 1&6.3&6.8&6.9&6.8&6.9&6.74&0.6\\2&6.3&6.6&6.6&6.3&7.0&6.56&0.7\\3&6.8&6.7&7.0&6.5&7.0&6.8&0.5\\4&7.0&6.7&6.7&6.8&6.8&6.8&0.3\\5&6.8&6.8&6.6&6.5&6.4&6.62&0.4\\6&6.8&6.7&6.6&6.3&6.9&6.66&0.6\\7&7.3&7.3&7.4&7.4&7.0&7.28&0.4\\8&7.2&7.0&7.2&6.9&7.1&7.08&0.3\\9&7.3&7.6&7.1&7.4&7.6&7.4&0.5\\10&7.2&7.6&7.5&7.6&7.1&7.4&0.5\\11&7.2&7.2&7.4&7.0&7.0&7.16&0.4\\12&7.5&7.4&7.4&7.6&7.1&7.4&0.5\\\end{array}$

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Definitions:

Conversion Costs

The sum of labor and manufacturing overhead expenses necessary to convert raw materials into finished products.

Units Started

Units started refers to the number of items or products that have begun the production process within a given time frame, indicating the level of production activity.

Ending Work

Refers to the value of goods in progress that have not yet been completed at the end of an accounting period, often related to manufacturing processes.

Equivalent Units

A concept used in cost accounting to represent the amount of work done on incomplete units, translated into the amount of completed units.