Waiting times (in minutes) of customers at a bank where all customers enter a si

Question

Waiting times (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the coefficient of variation for each of the two sets of data, then compare the variation. Bank A (single line) 6.5 6.6 6.8 6.8 7.1 7.2 7.5 7.6 7.7 7.8 Bank B (individual lines): 4.3 5.4 5.7 6.2 6.7 7.6 7.7 8.5 9.3 9.7 The coefficient of variation for the waiting times at Bank A is % The coefficient of variation for the waiting times at the Bank B is % Is there a difference in variation between the two data sets? A. There is no significant difference in the variations. B. The waiting times at Bank A have considerably less variation than the waiting times at Bank A. c. The considerably less variation than the waiting times at Bank A.

Explanation / Answer

here:

coefficient of variation for the waiting time at Bank A is =(std deviation/mean)*100 =6.6%

coefficient of variation for the waiting time at Bank B is =(std deviation/mean)*100 =24.7%

option B is correct; the waiting time at Bank A have considerably less variaition......

Bank A Bank B 6.5 4.3 6.6 5.4 6.8 5.7 6.8 6.2 7.1 6.7 7.2 7.6 7.5 7.7 7.6 8.5 7.7 9.3 7.8 9.7 mean 7.16 7.11 std deviation 0.47 1.76

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