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:

Echolalia

The repetition of phrases or sounds that one hears, a behavior often observed in individuals with autism.

Repeating Syllables

A cognitive and linguistic development process in infants where they experiment with sounds by repeating vowel-consonant combinations, facilitating language learning.

Intonation

The use of pitches of varying levels to help communicate meaning.

Vocabulary Development

The process by which people acquire words, their meanings, and the rules for combining them into language; essential for communication and knowledge acquisition.