SCENARIO 15-4
a Factory Supervisor Is Concerned That the Time

question 233

Short Answer

SCENARIO 15-4
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.
$$\begin{array} { cc c } \underline { \text { Hour } } & \underline { X } & \underline { R } \\1 & 18.4 & 25 \\2 & 16.9 & 27 \\3& 23.0 & 30 \\4 & 21.2 & 23 \\5 & 21.0 & 24 \\6 & 24.0 & 25 \\7&19.3&12\\8 & 15.8 & 14 \\9 & 20.0 & 13 \\10 & 23.0 & 11\end{array}$$ 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 15-4, what is the value of the C pk index?

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Definitions:

Merkel Cells

Specialized skin cells that function as mechanoreceptors for touch sensation, located in the epidermis.

Proprioceptors

are sensory receptors found in muscles, tendons, and joints, providing information about body position and movement.

Dermis

The thick layer of living tissue below the epidermis that forms the true skin, containing sweat glands, hair follicles, and blood vessels.

Glossopharyngeal

The ninth cranial nerve, which is involved in tasting, swallowing, and the gag reflex, as well as controlling some muscles and salivary glands.