Please show work!!!! Thanks! Waiting times (in minutes) of customers at a bank w
ID: 3054802 • Letter: P
Question
Please show work!!!! Thanks!
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 6.7 6.7 6.9 7.0 7.2 7.5 7.6 7.7 7.7 Bank B (individual lines): 4.1 5.3 5.9 6.2 6.6 7.6 7.7 8.4 9.2 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? % O A. O B. O C. There is no significant difference in the variations. The waiting times at Bank B have considerably less variation than the waiting times at Bank A. The waiting times at Bank A have considerably less variation than the waiting times at Bank BExplanation / Answer
Ans:
We know that:
Option C is correct.(The waiting time at Bank A have considerably less variation than the waiting times at Bank B.
A B 1 6.5 4.1 2 6.7 5.3 3 6.7 5.9 4 6.9 6.2 5 7 6.6 6 7.2 7.6 7 7.5 7.7 8 7.6 8.4 9 7.7 9.2 10 7.7 9.8 mean= 7.15 7.08 std.dev.(population)= 0.430 1.695 std.dev.(sample)= 0.453 1.787 CV(sample)= 6.3 25.2 CV(population)= 6.0 23.9