Find the coefficient of variation for each of the two sets of data, then compare

Question

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 Automated Menu 11.7 7.6 3.1 29 92 6.3 55 6.4 26 45 4.1 34 52 3.7 Live agent A. Automated Menu 482% OB. Automated Menu 500% Live agent 292% There is substantially more variation in the times for the automated menu system Automated Menu: 26 8% Live agent 46.0% There is substantially more variation in the times for the live agent Live agent 30.3% There is substantially more variation in the times for the automated menu system. C. D. Automated Menur 51 8% Live agent 31 4% There is substantially more variation in the times for the automated menu system 1 Click to select your answer r 1 Post-Test er 2 Pre-Test

Explanation / Answer

Solution:- option A.

EXplanation : Automated menu: 11.7,7.6,3.1,2.9,9.2,6.3,5.5

live agent : 6.4,2.6,4.5,4.1,3.4,5.2,3.7

Formula :- coefficient of variation = /µ

Automated menu =   3.1887 / 6.6142 = 0.482 = 48.2%

live agent = 1.2486 / 4.2714 = 0.2923 = 29.2%

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