Solve the problem.307 diamonds were sampled and randomly sorted into three groups of diamonds. These diamonds were randomly assigned to one of thethree organizations, or groups (HRD, GIA, or IGI), that certify the appraisal of diamonds. A study was conducted to determine if the averagesize of diamonds reported by these three certification groups differ. A completely randomized design was used and the resulting ANOVAtable is shown below.One-Way AOV for CARAT by CERTSource DF SS MS F PCERT 2 8.3265 4.16326 83.21 0.0000Error 305 15.2604 0.05003Total 307 23.5869Give a practical conclusion for the test in the words of the problem. Use a = 0.10 to make your conclusion.O There is sufficient evidence to indicate that the mean carat weight for the HRD group equals the mean carat weight for the IGI group.O There is sufficient evidence to indicate that differences exist among the mean carat weights for the three certification groups.O There is insufficient evidence to indicate that differences exist among the mean carat weights for the three certification groups.O There is sufficient evidence to indicate that the mean carat weight for the GIA group is lower than the other two groups.

Test is that whether the average size of diamonds reported by three certification groups differ. Given that Level of significance = 0.10To test that the average size of diamonds reported by three certification groups differ, the null and alternative hypotheses are Ho : the average size of diamonds reported by three certification groups are equal. Ha : the average size of diamonds reported by three certification groups differ. And the test statistic is F = 83.21 (given in one-way ANOVA output) And the p-value is given by 0.0000 Since p-value is less than 0.10 level of significance then we reject Ho and conclude that There is sufficient evidence to indicate that differences exist among the mean carat weights for the three certification groups.