Instruction 18-5
the Maker of a Packaged Candy Wants to Evaluate

question 8

Short Answer

Instruction 18-5
The maker of a packaged candy wants to evaluate the quality of her production process. On each of 16 consecutive days, she samples 600 bags of candy and determines the number in each day's sample that she considers to be of poor quality. The data that she developed follow.
$$\begin{array} { | l | l | l | } \hline \text { Day } & \begin{array} { l } \text { Number } \\\text { Poor }\end{array} & \begin{array} { l } \text { Proportion } \\\text { Poor }\end{array} \\\hline 1 & 33 & 0.0550000 \\\hline 2 & 29 & 0.0483333 \\\hline 3 & 31 & 0.0516667 \\\hline 4 & 32 & 0.0533333 \\\hline 5 & 43 & 0.0716667 \\\hline 6 & 45 & 0.0750000 \\\hline 7 & 46 & 0.0766667 \\\hline 8 & 48 & 0.0800000 \\\hline 9 & 48 & 0.0800000 \\\hline 10 & 46 & 0.0766667 \\\hline 11 & 28 & 0.0466667 \\\hline 12 & 32 & 0.0533333 \\\hline 13 & 28 & 0.0466667 \\\hline 14 & 32 & 0.0533333 \\\hline 15 & 31 & 0.0516667 \\\hline 16 & 24 & 0.0400000 \\\hline\end{array}$$
-Referring to Instruction 18-5,a p control chart is to be constructed for these data.The lower control limit is _______,while the upper control limit is _______.

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Definitions:

Cognitive Bias

A systematic pattern of deviation from norm or rationality in judgment, whereby inferences about other people and situations may be drawn in an illogical fashion.

Concept Hierarchy

A system of organizing concepts from the most general to the most specific, facilitating understanding and learning by structuring knowledge in a hierarchical manner.

Ultimatum Game

A game in economic experiments where two players decide on how to divide a sum of money; refusal by one player results in neither player receiving anything.

Rational Self-Interest

The principle that individuals will make decisions that they perceive to be the best for themselves, maximizing their own benefit.