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A large insurance company wants to determine whether there is a difference in the average time to process claim forms among its four different processing facilities. The data in Table represent weekly average number of days to process a form over a period of 4 weeks.
Table
Facility 1
Facility 2
Facility 3
Facility 4
1.50
2.25
1.30
2.0
0.9
1.85
2.75
1.5
1.12
1.45
2.15
2.85
1.95
1.55
1.15
(a) Test whether there is a difference in the average processing times at the 0.05 level.
(b) Test whether there is a difference, using Tukey's method to ?nd which facilities are different.
(c) Interpret your results and state any assumptions you have made in solving the problem.
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