Construct a Run Chart for Individual Values Corresponding to the Given

question 167

Essay

Construct a run chart for individual values corresponding to the given data. A machine is
supposed to fill boxes to a weight of 50 pounds. Every 30 minutes a sample of four boxes is
tested; the results are given below. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Box Weight (lb) }$
$\begin{array}{l}\begin{array}{c|}\underline {\text { Sample } }\\ 1\\2\\3\\4\\5\\6\\7\\8\\9\\10\\11\\12\\13\\14\\15\\\end{array}\begin{array}{lrll|}\\\hline 49 & 38 & 39 & 45 \\52 & 51 & 43 & 61 \\56 & 60 & 32 & 52 \\44 & 59 & 46 & 49 \\51 & 61 & 48 & 45 \\45 & 50 & 46 & 48 \\52 & 51 & 45 & 55 \\40 & 50 & 53 & 48 \\48 & 67 & 60 & 51 \\43 & 50 & 50 & 47 \\48 & 30 & 38 & 39 \\50 & 46 & 48 & 53 \\50 & 58 & 56 & 64 \\47 & 52 & 47 & 49 \\52 & 57 & 58 & 52\end{array}\begin{array}{c|}\bar{x} \\\hline 42.75 \\51.75 \\50.00 \\49.50 \\51.25 \\47.25 \\50.75 \\47.75 \\56.50 \\47.50 \\38.75 \\49.25 \\57.00 \\48.75 \\54.75\end{array}\begin{array}{c}\text { Range } \\\hline 11 \\18 \\28 \\15 \\16 \\5 \\10 \\13 \\19 \\7 \\18 \\7 \\14 \\5 \\6\end{array}\end{array}$

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Definitions:

Acronym Formation

The process of creating a new word from the initial letters of a phrase, intended for easier memorization or communication.

Meaningful Encoding

The process of converting information into a form that is comprehensible and memorable, often by associating it with existing knowledge or concepts.

Psychology Textbook

An academic book containing the study of the mind and behavior, covering various theories, experiments, and psychological conditions.

Rosy Retrospection

The phenomenon where people judge past experiences more positively than they evaluated them in real-time.