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

question 75

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.
$$\begin{array}{l}\begin{array} { | c | c c c c c c c c c c c c c | } \hline \text { Sample } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\\hline \bar { x } _ { j } & 21 & 24 & 20 & 18 & 20 & 21 & 23 & 25 & 15 & 20 & 25 & 21 & 4 \\R _ { j } & 8 & 12 & 7 & 19 & 6 & 11 & 8 & 8 & 7 & 13 & 9 & 13 & 25 \\\hline\end{array}\\\\\begin{array} { | c | c c c c c c c c c c c c | } \hline \text { Sample } & 14 & 15 & 16 & 17 & 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 \\\hline \bar { x } _ { j . } & 28 & 14 & 22 & 24 & 26 & 19 & 14 & 28 & 17 & 26 & 29 & 15 \\R _ { j } & 12 & 14 & 17 & 8 & 21 & 12 & 14 & 11 & 7 & 15 & 21 & 19 \\\hline\end{array}\end{array}$$
-Does it appear that the process is under control? Explain.

Recognize the role and assumptions of intuition in the decision-making process.

Identify strategies to develop different cognitive abilities related to decision making.

Understand the process and importance of creativity in decision making.

Understand different decision-making models and their application in various scenarios.

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Definitions:

Reductio Ad Absurdum

A method of argumentation that seeks to disprove a statement by showing it leads to an absurd or contradictory conclusion.

Non Sequitur

A statement that does not logically relate to what comes before it, often used to denote illogical or irrelevant conclusions.

False Analogy

An argumentative flaw where two things being compared are not truly comparable or relevantly similar.

Popular Belief

A widely held opinion or conviction among a large group of people, regardless of whether it is based on fact or myth.