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In an effort to investigate the premium charged by insurance companies for auto insur- ance, an agency randomly selects a few drivers who are insured by one of three different companies. These individuals have similar cars, driving records, and levels of coverage.
Table gives the premiums paid per 6 months by these drivers with these three companies.
Table
Company I
Company II
Company III
396
348
378
438
360
330
336
522
294
318
474
432
(a) Construct an analysis-of-variance table and interpret the results.
(b) Using the 5% signi?cance level, test the null hypothesis that the mean auto insurance premium paid per 6 months by all drivers insured for each of these companies is the same. Assume that the conditions of completely randomized design are met.
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