Customer Waiting Times Waiting times in minutes of customers
Customer Waiting Times:
Waiting times (in minutes) of customers at the Jefferson Valley Bank (where all customers enter a single waiting line) and the Bank of Providence (where customers wait in individual lines at three different teller windows) are listed below. Determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If so, what is it?
Jefferson Valley (single line):
6.5
6.6
6.7
6.8
7.1
7.3
7.4
7.7
7.7
7.7
Providence (individual lines):
4.2
5.4
5.8
6.2
6.7
7.7
7.7
8.5
9.3
10.0
7. For the same two data sets in problem 6 above, find the coefficient of variation and then compare the variation. [15]
| Jefferson Valley (single line): | 6.5 | 6.6 | 6.7 | 6.8 | 7.1 | 7.3 | 7.4 | 7.7 | 7.7 | 7.7 | 
| Providence (individual lines): | 4.2 | 5.4 | 5.8 | 6.2 | 6.7 | 7.7 | 7.7 | 8.5 | 9.3 | 10.0 | 
Solution
since there is no significance difference between mean of J.V and Mean of P, by T test they both are same
even covariance is too small
coeffcient of variation = mean of J*P - mean of J.V * mean of P
=0.6775
| J.valley | Providence | J*P | ||
| 6.5 | 4.2 | 27.3 | ||
| 6.6 | 5.4 | 35.64 | mean of J.V | 7.15 | 
| 6.7 | 5.8 | 38.86 | mean of P | 7.15 | 
| 6.8 | 6.2 | 42.16 | mean of J*P | 51.8 | 
| 7.1 | 6.7 | 47.57 | ||
| 7.3 | 7.7 | 56.21 | ||
| 7.4 | 7.7 | 56.98 | ||
| 7.7 | 8.5 | 65.45 | ||
| 7.7 | 9.3 | 71.61 | ||
| 7.7 | 10 | 77 | 


