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

question 32

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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 are the lower and upper control limits of this chart?


Definitions:

Debt Ratio

A financial metric that measures the proportion of a company’s total debt to its total assets, indicating the company's leverage level.

Asset Turnover

A financial ratio that measures the efficiency of a company's use of its assets in generating sales revenue; it is calculated by dividing sales revenue by total assets.

Return on Assets

A financial ratio indicating how profitable a company is relative to its total assets, measuring how efficiently a company uses its assets to generate earnings.

Inventory Turnover

Inventory turnover is a ratio showing how many times a company's inventory is sold and replaced over a specific period, indicating the efficiency of inventory management.

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