Customer Waiting Times: Waiting times (in minutes) of customers at the Jefferson
ID: 3433706 • Letter: C
Question
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
Explanation / Answer
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 77Related Questions
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