Use the Given Process Data to Construct a Control Chart

question 4

Essay

Use the given process data to construct a control chart for p
-A machine is supposed to fill boxes to a weight of 50 lbs. Every 30 minutes a sample of four boxes is tested; the results are given below. $\begin{array}{l|llll|l|l}S&&&A&&M&R\\\hline1 & 49 & 38 & 39 & 45 & 42.75 & 11 \\2 & 52 & 51 & 43 & 6 & 51.75 & 18 \\3 & 56 & 60 & 32 & 52 & 50 & 28\\4 & 44 & 59 & 46 & 49 & 49.5 & 15 \\5 & 51 & 61 & 48 & 45 & 51.25 & 16 \\6 & 45 & 50 & 46 & 48& 47.25 & 5 \\7 & 52 & 51 & 45 & 55& 50.75 & 10\\8 & 40 & 50 & 53 & 48 & 47.75 & 13 \\9 & 48 & 67 & 60 & 51 & 56.5 & 19 \\10 & 43 & 50 & 50 & 47 & 47.5 & 7 \\11 & 48 & 30 & 38 & 39 & 38.75 & 18\\12 & 50 & 46 & 48 & 53 & 49.25 & 7 \\13 & 50 & 58 & 56 & 64 & 57 & 14 \\14 & 47 & 52 & 47 & 49&48.75 & 5 \\15 & 52 & 57 & 58 & 52&54.75 & 6\\\end{array}$

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Definitions:

Data Gathering

The process of collecting information from various sources to achieve a specific objective or to answer specific questions.

Sequential Stages

A series of steps or phases that follow a specific order, designed to achieve a particular goal or process.

Initiating

The act of beginning or starting something, often related to actions or strategies in various contexts including project management and personal development.

Interpreting Data

The process of analyzing information collected through observation or research to draw meaningful conclusions.