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SCENARIO 18-4
a Factory Supervisor Is Concerned That the Time

question 20

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SCENARIO 18-4
A factory supervisor is concerned that the time it takes workers to complete an important production
task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor
proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and
range for each hour are listed below.  Hour XˉR118.425216.927323.030421.223521.024624.025719.312815.814920.0131023.011\begin{array} {ccc} \underline {\text { Hour }} & \underline { \bar { X } } & \underline { R } \\1 & 18.4 & 25 \\2 & 16.9 & 27 \\3 & 23.0 & 30 \\4 & 21.2 & 23 \\5 & 21.0 & 24 \\6 & 24.0 & 25 \\7 & 19.3 & 12 \\8 & 15.8 & 14 \\9 & 20.0 & 13 \\10 & 23.0 & 11\end{array} She also decides that lower and upper specification limit for the critical-to-quality variable should be
10 and 30 seconds, respectively.
-Referring to Scenario 18-4, what is the value of the CPU index?

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Definitions:

Unique Risk

Risk that is specific to a single asset or to a small group of assets, also known as unsystematic risk.

Unique Risk

Also known as unsystematic risk, it refers to the risk associated with a specific company or industry.

Diversifiable Risk

The portion of an investment's risk that can be reduced or eliminated through the practice of diversifying one's investment portfolio across various assets.

Systematic Risk

The inherent risk affecting the overall market or a particular sector, which cannot be eliminated through diversification.

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