Larry's Boat Shop Wants to Monitor the Number of Blemishes

question 106

Essay

Larry's boat shop wants to monitor the number of blemishes in the paint of each boat. Construct a 3-sigma c-chart to determine if their paint process is in control using the following data.
$$\begin{array} { | c | c | } \hline \begin{array} { c } \text { Sample } \\\text { Number }\end{array} & \begin{array} { c } \text { Number of } \\\text { Defects }\end{array} \\\hline 1 & 3 \\\hline 2 & 4 \\\hline 3 & 2 \\\hline 4 & 1 \\\hline 5 & 3 \\\hline 6 & 2 \\\hline 7 & 1 \\\hline 8 & 4 \\\hline 9 & 2 \\\hline 10 & 3 \\\hline\end{array}$$

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Definitions:

Knowledge Work

Intellectual tasks that generate, process, or disseminate information, typically involving analytical thinking or problem-solving.

Personally Unfulfilling

Describes an experience or task that does not provide personal satisfaction or fulfillment.

Necessary

Refers to something that is needed or essential for a particular purpose or result.

Challenges

Difficult tasks or obstacles that require a personal effort to overcome.