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

Question

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

Quizplus · Accepted Answer

The F-value is calculated by dividing the Mean Square of the CERT source by the Mean Square of the Error. F = 4.16326 / 0.05003 = 83.215.

307 Diamonds Were Sampled and Randomly Sorted into Three Groups