SCENARIO 15-4
a Factory Supervisor Is Concerned That the Time

question 45

Short Answer

SCENARIO 15-4
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.
$$\begin{array} { cc c } \underline { \text { Hour } } & \underline { X } & \underline { R } \\1 & 18.4 & 25 \\2 & 16.9 & 27 \\3& 23.0 & 30 \\4 & 21.2 & 23 \\5 & 21.0 & 24 \\6 & 24.0 & 25 \\7&19.3&12\\8 & 15.8 & 14 \\9 & 20.0 & 13 \\10 & 23.0 & 11\end{array}$$ 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 15-4, what percentage of the time it takes workers to complete an important production task will fall inside the specification limits?

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Definitions:

Relative

A person connected by blood or marriage, or someone who is considered in relation or in proportion to something else.

Stranger

An individual who is not known personally to another or not familiar with a particular setting or environment.

Gang

A group of people associated with each other, often involved in criminal activities or sharing a common identity.

Drug Fiend

A derogatory term used to describe a person who is addicted to or heavily uses illegal or controlled substances.