307 Diamonds Were Sampled and Randomly Sorted into Three Groups

Multiple Choice

307 diamonds were sampled and randomly sorted into three groups of diamonds. These diamonds were randomly assigned to one of the three organizations, or groups (HRD, GIA, or IGI) , that certify the appraisal of diamonds. A study was conducted to determine if the average size of diamonds reported by these three certification groups differ. A completely randomized design was used and the resulting ANOVA table is shown below. $$\begin{array}{l}\text { One-Way AOV for CARAT by CERT }\\\begin{array} { l c c c l } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } \\\hline \text { CERT } & 2 & 8.3265 & 4.16326 & ? ? ? \\\text { Error } & 305 & 15.2604 & 0.05003 & \\\text { Total } & 307 & 23.5869 & &\end{array}\end{array}$$ Find the F-value that is missing in the ANOVA table.

A) 83.215
B) 0.0120
C) 0.5000
D) 0.5242