Use the Given Process Data to Construct a Control Chart

question 34

Essay

Use the given process data to construct a control chart for p
-A machine that is supposed to produce ball bearings with a diameter of 7 mm yields the following data from a test of 5 ball bearings every 20 minutes.
$\begin{array} { l|lllll|l| } S&&&A&&&M&R\\\hline 1&6.3&6.8&6.9&6.8&6.9&6.74&0.6\\2&6.3&6.6&6.6&6.3&7.0&6.56&0.7\\3&6.8&6.7&7.0&6.5&7.0&6.8&0.5\\4&7.0&6.7&6.7&6.8&6.8&6.8&0.3\\5&6.8&6.8&6.6&6.5&6.4&6.62&0.4\\6&6.8&6.7&6.6&6.3&6.9&6.66&0.6\\7&7.3&7.3&7.4&7.4&7.0&7.28&0.4\\8&7.2&7.0&7.2&6.9&7.1&7.08&0.3\\9&7.3&7.6&7.1&7.4&7.6&7.4&0.5\\10&7.2&7.6&7.5&7.6&7.1&7.4&0.5\\11&7.2&7.2&7.4&7.0&7.0&7.16&0.4\\12&7.5&7.4&7.4&7.6&7.1&7.4&0.5\\\end{array}$

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Definitions:

One or Two-tail Test

A statistical hypothesis test that can assess whether there is evidence for an effect in either direction (two-tailed) or in a specified direction (one-tailed).

Significance Level

A threshold used in statistical testing to determine whether to reject the null hypothesis, typically represented by alpha (α).

Movie Editors

Professionals responsible for selecting, assembling, and piecing together raw footage to create a coherent and effectively told story or film.

Sign Test

A non-parametric statistical test used to determine if two dependent samples come from populations with the same median.