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

question 68

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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 variability in collection times is in control.What is the centre line of this R chart?


Definitions:

Complement Rate

In the context of interest rates, this refers to the difference between 100% and the stated rate, used in various financial calculations.

Cash Discount

A reduction in the invoice price offered by the seller to encourage early payment by the buyer.

Invoice Date

The date when an invoice is issued, marking the beginning of the grace period for payment.

Partial Payment

A payment made that is not the full amount due but is accepted as a partial settlement of the total debt.

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