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

question 61

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 $C _ { p k }$ index?

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Definitions:

Product's Life Cycle

The stages a product goes through from conception and introduction to the market, through growth, maturity, and decline.

Competitor's Actions

Measures or strategies undertaken by rival businesses in the marketplace that can influence a company's planning and decision-making processes.

Core Values

Fundamental beliefs or guiding principles that shape an organization's culture and dictate behaviors and decision-making.

Correlation Coefficient

A statistical measure that calculates the degree to which two variables move in relation to each other, indicating the strength and direction of their relationship.