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
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 P
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 P

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