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

question 32

Multiple Choice

TABLE 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.
$$\begin{array} { l l l l } \text { Hour } & \bar { X } & \text { R } \\\hline 1 & 18.4 & 25 \\2 & 16.9 & 27 & \\3 & 23.0 & 30 & \\4 & 21.2 & 23 & \\5 & 21.0 & 24 & \\6 & 24.0 & 25 & \\7 & 19.3 & 12 \\8 & 15.8 & 14 & \\9 & 20.0 & 13 & \\10 & 23.0 & 11 &\end{array}$$ She also decides that lower and upper specification limit for the critical-to-quality variable should be 10 and 30 seconds, respectively.
-Referring to Table 18-4, suppose the supervisor constructs an R chart to see if the variability in collection times is in-control. What are the lower and upper control limits for this R chart?

• A) 0, 42.28
• B) - 2.33, 43.13
• C) 0, 43.13
• D) - 2.28, 42.28

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Definitions:

Transformation

The process of changing the structure, appearance, or character of something, often seen in economic contexts as shifts in production or technology.

Opportunity Cost

The cost of forgoing the next best alternative when making a decision, a fundamental concept in economics that captures the essence of trade-offs.

Economic Growth

The growth in the real market value of goods and services that an economy generates over a period.

Technology

The application of scientific knowledge for practical purposes, especially in industry - machinery, equipment, and software developed from such scientific knowledge.