(Students Must Compute the Range Per Sample and Overall R-Bar) $\text { Table 1-SPC Problem Data }$

question 25

Multiple Choice

(Students must compute the range per sample and overall r-bar)
$\text { Table 1-SPC Problem Data }$
$\text { Observation Number }$
$\begin{array}{|c|r|r|r|r|c|}\hline \text { Sample number } &1&2&3& 4 & 5 \\\hline 1 & 10.1 & 10.6 & 9.8 & 9.9 & 10.9 \\2 & 9.7 & 9.5 & 10.3 & 9.9 & 10.5 \\3 & 10.1 & 10.7 & 9.2 & 10.0 & 10.1 \\4 & 9.9 & 9.8 & 10.5 & 10.4 & 10.1 \\5 & 10.4 & 10.1 & 10.9 & 9.9 & 10.3 \\\hline\end{array}$
-Given the previous results and analysis for the R-chart, one would:

• A) conclude that the R-chart is in statistical control, and proceed to develop the x-bar chart.
• B) conclude that the R-chart is not in statistical control, and proceed to develop the x-bar chart.
• C) investigate sample # 3 as it is outside the R-chart control limits and redo the R-chart.
• D) conclude that the variation is not random, and therefore all samples should be investigated.

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Definitions:

Valid Measure

A tool or procedure that accurately reflects the concept that it is intended to measure.

Set

A collection of distinct objects, considered as an object in its own right in mathematics.

Abilities

Abilities are the natural or acquired skills and talents that individuals possess, enabling them to perform specific tasks effectively.

Content Validity

The degree to which a test or instrument comprehensively accounts for all the relevant facets of the concept it aims to measure.