Find the Coefficient of Variation for Each of the Two $\begin{array} { l l l l l l l } \text { Automated Menu: } 11.7 & 7.4 & 3.9 & 2.9 & 9.2 & 6.3 & 5.5 \end{array}$

question 86

Multiple Choice

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal
place.
-The customer service department of a phone company is experimenting with two different systems. On Monday they try the first system which is based on an automated menu system. On Tuesday they try the second
System in which each caller is immediately connected with a live agent. A quality control manager selects a
Sample of seven calls each day. He records the time for each customer to have his or her question answered. The
Times (in minutes) are listed below. $\begin{array} { l l l l l l l } \text { Automated Menu: } 11.7 & 7.4 & 3.9 & 2.9 & 9.2 & 6.3 & 5.5 \end{array}$
$\begin{array} { l l l l l l l l l } \text { Live agent: } & 6.2 & 2.9 & 4.4 & 4.1 & 3.4 & 5.2 & 3.7 \end{array}$

• A) Automated Menu: \(45.4 \%\)
• Live agent: 26.3\%
• There is substantially more variation in the times for the automated menu system.
• B) Automated Menu: 25.2\%
• Live agent: \(41.5 \%\)
• There is substantially more variation in the times for the live agent.
• C) Automated Menu: \(47.1 \%\)
• Live agent: 27.3\%
• There is substantially more variation in the times for the automated menu system.
• D) Automated Menu: \(48.8 \%\)
• Live agent: 28.3\%
• There is substantially more variation in the times for the automated menu system.

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Definitions:

Controlled Processes

These are cognitive activities that require active mental effort, attention, and are often executed with intention.

Automatic Processes

Cognitive activities that require little thought and can be performed without conscious effort or attention.

Rapid Eye Movement (REM)

A stage of sleep characterized by fast and random movement of the eyes, high brain activity, increased heart rate and breathing, and vivid dreams.

Non-REM Sleep

A period of sleep characterized by slower brain waves and the absence of rapid eye movements, involving various stages of depth.