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A certain HMO is attempting to show the benefits of managed care to an insurance company. The HMObelieves that certain types of doctors are more cost-effective than others. One theory is that Certification Levelis an important factor in measuring the cost-effectiveness of physicians. To investigate this, the HMO obtainedindependent random samples of 20 physicians from each of the three certification levels-- Board certified (C) ;Uncertified, board eligible (E) ; and Uncertified, board ineligible (I) -- and recorded the total per member permonth charges for each (a total of 60 physicians) . In order to compare the mean charges for the three groups,the data will be subjected to an analysis of variance. The results of the ANOVA are summarized in thefollowing table. Take α = 0.01. Interpret the P-value of the ANOVA F test.
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