Given the Following Process Control Data for a Normally Distributed

question 128

Short Answer

Given the following process control data for a normally distributed quality variable (three samples of size four each): $$\begin{array} { r} { \text { Measurements } } \\\begin{array} { l l l l l } \text { Machine } &\\\hline \# 1 & 15 & 14 & 15 & 12 \\\# 2 & 18 & 16 & 20 & 16 \\\# 3 & 16 & 17 & 16 & 17\end{array}\end{array}$$ If the process is known to have a mean of 15 and a standard deviation of 3, using three-sigma control limits, do any of the sample means indicate an out-of-control process mean?

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Definitions:

Ménière Disease

Disorder of the middle ear resulting in vertigo and loss of balance.

Vertigo

A sensation of whirling and loss of balance, often associated with looking down from a great height, or due to disease affecting the inner ear or vestibular nerve.

Primary Somatosensory Cortex

The main sensory receptive area for the sense of touch located in the parietal lobe of the human brain.