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:

Phenotypic Changes

Alterations in the observable traits or characteristics of an organism, resulting from genetic expression or environmental influences.

Feathered Wings

Wings covered with feathers, characteristic of birds, that facilitate flight and insulation.

Postzygotic Barriers

Reproductive isolation mechanisms that occur after fertilization, preventing the development into fertile offspring.

Gene Transfer

The process by which genetic material is moved from one organism to another, occurring naturally or through genetic engineering techniques.