Wells Fargo Bank\'s call center has representatives that speak both English and

Question

Wells Fargo Bank's call center has representatives that speak both English and Spanish. A random sample of 11 calls to English-speaking service representatives and a random sample of 14 calls to Spanish-speaking service representatives was taken and the time to complete the calls was measured. The results (in seconds) are as follow: Compute the coefficient of variation for the time to complete calls to English-speaking and Spanish-speaking service representatives. Which group has the greater relative variability in the time to complete calls?

Explanation / Answer

Solution:

Before compute the coefficient of variation we shall know some information

The coefficient of variation is measure of of spread that describe the aomunt of variability relative to the mean.

Because the coefficient of variation is unitless, you can use it instead of the standard deviation to compare the

spread of data sets that have different units or different means.Because the coefficient of variation is unitless, you

can use it instead of the standard deviation to compare the spread of data sets that have different units or different

means.

Lets find the coefficient of variation

Let find the mean and standard deviation of english speaking and spanish speaking.

The mean and standard deviation english speaking and spanish speaking is given by in the table format

The coefficient of variation is calculate by the given formula

C. V. = (S.D.*100)/ Mean

The coefficient of variation of the english speaking is more than that of spanish speaking.

English speaking group has the grater relative variability in the time to complete calls.

English Spanish Mean 111.3636 150.8571 S. D. 22.42442 26.84101 C.V. 20.13621 17.79233

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