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Instruction 18-10
a Factory Supervisor Is Concerned That the Time

question 96

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Instruction 18-10
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 five individuals per hour for a period of 10 hours.The sample mean and range for each hour are listed below.
She also decides that lower and upper specification limit for the critical-to-quality variable should be 10 and 30 seconds,respectively.
 Hour 12345678910XR18.42516.92723.03021.22321.02424.02519.31215.81420.01323.011\begin{array}{ll}\begin{array}{c}\text { Hour }\\\hline1\\2 \\3 \\4 \\5 \\6 \\7 \\8 \\9 \\10\end{array}\begin{array}{r}\overline{X}&R\\\hline{18.4} & 25 \\16.9 & 27 \\23.0 & 30 \\21.2 & 23 \\21.0 & 24 \\24.0 & 25 \\19.3 & 12 \\15.8 & 14 \\20.0 & 13 \\23.0 & 11\end{array}\end{array}
-Referring to Instruction 18-10,suppose the supervisor constructs an chart to see if the process is in control.What are the lower and upper control limits of this chart?


Definitions:

Accumulated Depreciation

The total amount of depreciation expense that has been recorded against a fixed asset up to a specific date, reflecting its wear and use over time.

Salvage Value

The estimated residual value of an asset at the end of its useful life, often considered in depreciation calculations.

Normal Plant Capacity

The expected or planned level of operation for a manufacturing plant, considering normal working conditions and time periods.

Differential Analysis

The process of comparing the costs and benefits of alternative decisions, focusing on the differences between the options.

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