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

question 71

Short Answer

TABLE 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.
$$\begin{array} { l l l l } \text { Hour } & \bar { X } & \text { R } \\\hline 1 & 18.4 & 25 \\2 & 16.9 & 27 & \\3 & 23.0 & 30 & \\4 & 21.2 & 23 & \\5 & 21.0 & 24 & \\6 & 24.0 & 25 & \\7 & 19.3 & 12 \\8 & 15.8 & 14 & \\9 & 20.0 & 13 & \\10 & 23.0 & 11 &\end{array}$$ She also decides that lower and upper specification limit for the critical-to-quality variable should be 10 and 30 seconds, respectively.
-Referring to Table 18-4, 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:

Resellers

Businesses or individuals that purchase goods with the intention of selling them to end-consumers without significant modification.

Producers

Producers are individuals or businesses that create goods or services, playing a crucial role in the economy by offering products for consumer or business use.

Derived Demand

The linkage between consumers’ demand for a company’s output and its purchase of necessary inputs to manufacture or assemble that particular output.

Waiting Lists

Lists of individuals or entities that are waiting to receive a service, product, or opportunity, often used when demand exceeds current supply or capacity.