Waiting times (in minutes) of customers at a bank where all customers enter a si
ID: 3042852 • Letter: W
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): 6.4 6.6 6.7 6.9 7.1 7.3 7.4 7.6 7.6 7.8 Bank B (individual lines): 4.3 5.3 57 6.2 6.6 7.7 7.8 8.5 9.3 9.8 % The coefficient of variation for the waiting times at Bank A is (Round to one decimal place as needed.) % The coefficient of variation for the waiting times at the Bank B is (Round to one decimal place as needed.) Is there a difference in variation between the two data sets? A. The waiting times at Bank B have considerably less variation than the waiting times at Bank A. O B. There is no significant difference in the variations. O C. The waiting times at Bank A have considerably less variation than the waiting times at Bank BExplanation / Answer
Solution:- Given sets
Bank A : 6.4,6.6,6.7,6.9,7.1,7.3,7.4,7.6,7.6,7.8
Bank B : 4.3,5.3,5.7,6.2,6.6,7.7,7.8,8.5,9.3,9.8
Formula = coefficient of variation : /µ
The coeficient of variation for the waiting times at Bank A is 6.7%
=> coefficient of variation = 0.4765 / 7.14 = 0.0667
The coeficient of variation for the waiting times at Bank B is 25.2%
=> Coefficient of Variance = 1.7961 / 7.12 = 0.2522
option C. The waiting times at Bank A have considerably less variation than the waiting times at Bank B
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