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.
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Table
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Facility 1
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Facility 2
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Facility 3
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Facility 4
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1.50
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2.25
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1.30
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2.0
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0.9
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1.85
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2.75
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1.5
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1.12
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1.45
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2.15
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2.85
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1.95
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2.15
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1.55
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1.15
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(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.