A local voluntary organization affiliated to Citizens Advice Bureau offers free financial advice to residents in area who are registered debtors. In order to see how effective the service is, 15 randomly chosen clients were monitored and their initial debts, and those after 6 months of counselling were recorded. These data are exhibited in table. You might suppose that initial debts and those after six months of counselling are both normally distributed and have equal variances.
Recognize which of two tests (Independent samples and Paired samples) test is preferred test and justify your choice.
|
Initial debt
|
Debt after 6 months
|
|
5865.9
|
5681.4
|
|
6911.4
|
6382.5
|
|
8325.9
|
7895.4
|
|
9297.6
|
9580.5
|
|
9113.1
|
7907.7
|
|
8252.1
|
8301.3
|
|
7034.4
|
7083.6
|
|
10478.4
|
10220.1
|
|
8325.9
|
7624.8
|
|
9715.8
|
9137.7
|
|
7784.7
|
7920.0
|
|
10503.0
|
10097.1
|
|
8461.2
|
7907.7
|
|
8535.0
|
8227.5
|
|
9997.0
|
9991.0
|