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:

Labor Hire

The process of employing workers, often on a temporary basis, to perform certain jobs or tasks.

Marginal Productivity

is the additional output resulting from using one more unit of a particular input, holding all other inputs constant.

Hourly Wage

The rate of pay employees receive for one hour of work, an important indicator of labor costs and worker compensation in an economy.

Marginal Resource Cost

The change in total cost that comes from producing one additional unit of a good or service.