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Twenty-Five Samples of Size 4 Were Taken from a Production

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Samples
Twenty-five samples of size 4 were taken from a production process.The mean of the sample means is xˉˉ\bar {\bar x} = 13.9.The process standard deviation is known to be σ\sigma = 3.5.The sample means are listed below.  Sample 12345678910111213xˉj15.110.917.610.013.89.917.76.15.916.911.112.19.4 Sample 141516171819202122232425xˉj13.211.116.99.310.012.018.221.121.716.919.121.5\begin{array}{l}\begin{array} { | c | c c c c c c c c c c c c c | } \hline \text { Sample } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\\hline \bar { x } _ { j } & 15.1 & 10.9 & 17.6 & 10.0 & 13.8 & 9.9 & 17.7 & 6.1 & 5.9 & 16.9 & 11.1 & 12.1 & 9.4 \\\hline\end{array}\\\\\begin{array} { | c | c c c c c c c c c c c c | } \hline \text { Sample } & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \\\hline \bar { x } _ { j } & 13.2 & 11.1 & 16.9 & 9.3 & 10.0 & 12.0 & 18.2 & 21.1 & 21.7 & 16.9 & 19.1 & 21.5 \\\hline\end{array}\end{array}
-Plot the sample means on a control chart.


Definitions:

Skim Company Funds

The unauthorized diversion of company funds, typically for personal use, which is illegal and unethical.

Criminal Activity

Conduct that constitutes an offense and is punishable by law, typically involving acts harmful or threatening to the public.

Irresistible Impulse Test

A legal standard used to evaluate the criminal responsibility of a defendant who claims mental illness prevented them from controlling their actions.

Mental Deficiency

A dated term referring to a range of intellectual disabilities or developmental disorders that impact cognitive functioning and adaptive behaviors.

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