Find the Coefficient of Variation for Each of the Two $$\begin{array} { l l l l l l l l } \text { Live agent: } & 6.3 & 2.5 & 4.8 & 4.1 & 3.4 & 5.2 & 3.7\end{array}$$

question 127

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. $$\begin{array} { l l l l l l l l } \text { Live agent: } & 6.3 & 2.5 & 4.8 & 4.1 & 3.4 & 5.2 & 3.7\end{array}$$

• A)Automated Menu: 43.7% Live agent: 29.4%
• There is substantially more variation in the times for the automated menu system.
• B)Automated Menu: 45.3% Live agent: 30.5%
• There is substantially more variation in the times for the automated menu system.
• C)Automated Menu: 46.9% Live agent: 31.5%
• There is substantially more variation in the times for the automated menu system.
• D)Automated Menu: 24.3% Live agent: 46.2%
• There is substantially more variation in the times for the live agent.

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Definitions:

Income Redistribution

The transfer of income through mechanisms like taxes and government spending from the wealthy to the poorer sections of society.

Rawlsian Justice

A theory in political philosophy that fairness is represented by equality in basic rights and liberties, where inequalities are arranged to benefit the least advantaged and are attached to positions open to all under conditions of fair equality of opportunity.

Worst-Off Member

Refers to the individual or group within a society or community that is most disadvantaged or in the poorest condition, often considered in policies aiming for equitable improvements.

Well-Being

A comprehensive measure that includes the physical, mental, and emotional health and happiness of an individual or community.