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

question 42

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 is the center line of this R chart?

• A) 24.00
• B) 20.00
• C) 20.56
• D) 20.40

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Definitions:

Psychological Disorders

Mental health conditions characterized by significant disturbances in thoughts, feelings, or behaviors.

Population

The total number of organisms, humans, or objects of interest within a specified area or amongst a particular group being studied or counted.

Personally Distressing

Experiencing discomfort or distress on a personal level due to specific circumstances or conditions.

Helplessness

A psychological state where an individual perceives they have no control over their situation, leading to decreased motivation and ability to manage future situations.