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

question 2

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 R chart on a control chart

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Definitions:

Testes

The male reproductive organs that produce sperm and hormones, including testosterone.

Genetic Heritage

The genetic information and traits passed down from one's ancestors, influencing various aspects of an individual's physical and possibly behavioral characteristics.

Genotype

is the genetic makeup of an organism that determines its characteristics, including both visible traits and traits that are not visible.

Phenotype

The visible or observable expression of an organism's genetics, including physical characteristics and behaviors.