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Instruction 18-7
a Factory Supervisor Is Concerned That the Time

question 77

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Instruction 18-7
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 XR118.425216.927323.030421.223521.024624.025719.312815.814920.0131023.011\begin{array} { | l | l | l | } \hline \text { Hour } & \underline { \underline { X } } & \underline { R } \\\hline 1 & 18.4 & 25 \\\hline 2 & 16.9 & 27 \\\hline 3 & 23.0 & 30 \\\hline 4 & 21.2 & 23 \\\hline 5 & 21.0 & 24 \\\hline 6 & 24.0 & 25 \\\hline 7 & 19.3 & 12 \\\hline 8 & 15.8 & 14 \\\hline 9 & 20.0 & 13 \\\hline 10 & 23.0 & 11 \\\hline\end{array}
-Referring to Instruction 18-7,suppose the supervisor constructs an R chart to see if the process is in control.What is the centre line of the chart?


Definitions:

Diagnostic Checks

Procedures or tests carried out on a system or component to identify faults, ensure functionality, or verify performance parameters.

I/O Devices

Input/Output devices are hardware components used to input data or instructions into a computer system and output data from the system to the user or another device.

Actuators

Mechanical or electronic devices that implement a control operation by moving or controlling a mechanism or system.

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