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

question 51

Essay

Twenty-five samples of size 4 were drawn from a production process. For each sample, the mean and range were computed as shown below.
$$\begin{array}{l}\begin{array} { | c | c c c c c c c c c c c c c | } \hline \text { Sample } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\\hline \bar { x } _ { j } & 21 & 24 & 20 & 18 & 20 & 21 & 23 & 25 & 15 & 20 & 25 & 21 & 4 \\R _ { j } & 8 & 12 & 7 & 19 & 6 & 11 & 8 & 8 & 7 & 13 & 9 & 13 & 25 \\\hline\end{array}\\\\\begin{array} { | c | c c c c c c c c c c c c | } \hline \text { Sample } & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \\\hline \bar { x } _ { j . } & 28 & 14 & 22 & 24 & 26 & 19 & 14 & 28 & 17 & 26 & 29 & 15 \\R _ { j } & 12 & 14 & 17 & 8 & 21 & 12 & 14 & 11 & 7 & 15 & 21 & 19 \\\hline\end{array}\end{array}$$
-Draw the $\bar { x }$ chart on a control chart

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Definitions:

Developmental Psychologist

A specialist in psychology who studies the growth and development of the human mind and behavior over a lifetime.

Moral Thinking

The process of reasoning about ethical principles and determining what is right and wrong behavior.

Biological Psychology

The scientific study of the links between biological (genetic, neural, hormonal) and psychological processes. Some biological psychologists call themselves behavioral neuroscientists, neuropsychologists, behavior geneticists, physiological psychologists, or biopsychologists.

Brain Chemistry

Refers to the complex interactions of neurotransmitters, chemicals that transmit signals in the brain, affecting mood, behavior, and cognitive functions.