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

question 68

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 $d _ { 2 }$ factor?

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Definitions:

Controlled Tests

Controlled tests are experiments or tests conducted under controlled conditions to isolate variables and determine specific outcomes.

Arguing from Ignorance

A fallacy that occurs when someone argues that a statement is true simply because it has not been proven false, or vice versa.

Ad Populum Argument

A fallacy that appeals to the popularity of a claim as a reason to accept it as true.

Notable Universities

Institutions of higher education that are widely recognized for their excellence in academia, research, and contributions to society.