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

question 142

Short Answer

SCENARIO 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. $$\begin{array} {ccc} \underline {\text { Hour }} & \underline { \bar { X } } & \underline { R } \\1 & 18.4 & 25 \\2 & 16.9 & 27 \\3 & 23.0 & 30 \\4 & 21.2 & 23 \\5 & 21.0 & 24 \\6 & 24.0 & 25 \\7 & 19.3 & 12 \\8 & 15.8 & 14 \\9 & 20.0 & 13 \\10 & 23.0 & 11\end{array}$$ She also decides that lower and upper specification limit for the critical-to-quality variable should be
10 and 30 seconds, respectively.
-Referring to Scenario 18-4, what is the value of the $C _ { p }$ index?

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Definitions:

Wage

The compensation paid to an employee for their labor, usually expressed as an hourly, daily, or weekly rate.

Profit

The financial gain obtained when the amount earned from a business activity exceeds the expenses, costs, and taxes involved in sustaining the activity.

Marginal Product

The additional output that results from using one more unit of a particular input while keeping other inputs constant.

Output

The quantity of products or services generated by a business, sector, or economic system over a certain timeframe.