Use the Given Process Data to Construct a Control Chart

question 14

Essay

Use the given process data to construct a control chart for p
-A machine that is supposed to fill small bottles to contain 20 ml yields the following data from a test of 4 bottles every hour.
$\begin{array}{l|llll|l|l}S&&&A&&M&R\\\hline1 & 19.9 & 20.1 & 20.2 & 20.3&20 .125 & 0.4 \\2 & 20.4 & 20.0 & 20.3 & 20.3 & 20.25 & 0.4 \\3 & 20.0 & 20.7 & 20.4 & 20.3 & 20.35 & 0.7\\4 & 20.4 & 20.1 & 20.1 & 19.9&20 .125 & 0.5 \\5 & 19.9 & 19.8 & 19.6 & 19.5 & 19.7 & 0.4 \\6 & 19.4 & 19.4 & 19.6 & 19.7&19 .525 & 0.3\\7 & 19.8 & 19.4 & 19.6 & 19.7&19 .625&0 .4 \\8 & 19.9 & 19.8 & 20.0 & 20.0&19 .925 & 0.2 \\9 & 20.2 & 20.3 & 20.1 & 20.3&20 .225 & 0.2\\10 & 20.0 & 20.3 & 20.0 & 20.2&20 .125&0 .3 \\11 & 20.3 & 20.5 & 20.1 & 20.2&20 .275&0 .4 \\12 & 20.1 & 19.9 & 19.8 & 19.7&19 .875&0 .4\\13 & 19.5 & 19.8 & 19.7 & 19.6 & 19.65 & 0.3 \\14 & 19.4 & 19.8 & 19.8 & 19.4 & 19.4 & 0.4 \\15 & 19.5 & 19.6 & 19.6 & 19.9 & 19.65 & 0.4\\\end{array}$

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Definitions:

GDP

Gross Domestic Product, which measures the total value of all goods and services produced within a country’s borders in a specific time period.

Partnership

A lawful business structure operated by two or more people who jointly manage and divide profits.

Limited Liability

A legal structure that limits the personal financial responsibility of shareholders for the debts or actions of a corporation to the amount they invested.

Capital Acquisition

The process of acquiring capital assets, which are resources such as machinery, tools, or buildings, used to produce goods or services.