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

question 125

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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, suppose the supervisor constructs an R chart to see if the variability in collection times is in-control. What is the center line of this R chart?


Definitions:

Slaves

Individuals forced into servitude, deprived of personal freedom and rights, commonly for labor or sexual exploitation.

Slaves Population

The slave population refers to the number of enslaved individuals within a specific geographical area or period, often discussing the demographics within slave-owning societies.

Individual's Right

pertains to the liberties and legal entitlements guaranteed to every person, often protected under the law and the constitution of a country.

Religious Freedom

The right of individuals to practice, modify, and express their religious beliefs without interference or restriction by the government.

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