In an effort to investigate the premium charged by insurance companies for auto insurance, 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 10.3.1 gives the premiums paid per six months by these drivers with these three companies.
(a) Construct an ANOVA table and interpret the results.
(b) Using the 5% significance level, test the null hypothesis that the mean auto insurance premium paid per six months by all drivers insured for each of these companies is the same. Assume that the conditions of completely randomized design are met.
Table 10.3.1

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Company I Company II Company III 378 318 474 432