Find the Coefficient of Variation for Each of the Two

question 103

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.
$$\begin{array}{l}\begin{array} { l l l l l l l } \text { Automated Menu: }& 11.1 & 7.4 & 3.8 & 2.9 & 9.2 & 6.3 & 5.5\\\text { Live agent: } & 6.6 & 2.7 & 4.1 & 4.1 & 3.4 & 5.2 & 3.7\end{array}\end{array}$$

• A) Automated Menu: 24.4%
• Live agent: 47.5%
• There is substantially more variation in the times for the live agent.
• B) Automated Menu: 43.9%
• Live agent: 30.2%
• There is substantially more variation in the times for the automated menu system.
• C) Automated Menu: 47.2%
• Live agent: 32.4%
• There is substantially more variation in the times for the automated menu system.
• D) Automated Menu: 45.6%
• Live agent: 31.3%
• There is substantially more variation in the times for the automated menu system.

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Definitions:

Acquisition Cost

The total expense incurred to obtain an asset, including the purchase price and all related costs to ready the asset for its intended use.

Installation Costs

Expenses incurred during the setup of equipment, machinery, or systems.

Transportation Costs

Expenses associated with the movement of materials, goods, or personnel by road, rail, air, or sea.

Short-Term Lease

A lease agreement with a duration, typically less than a year, used for temporary occupancy or use of assets.