307 Diamonds Were Sampled and Randomly Sorted into Three Groups

question 79

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. $\begin{array}{l}\text { One-Way AOV for CARAT by CERT }\\\begin{array}{lcccc}\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } \\\hline \text { CERT } & 2 & 8.3265 & 4.16326 & ? ? ? \\\text { Error } & 305 & 15.2604 & 0.05003 & \\\text { Total } & 307 & 23.5869 & &\end{array}\end{array}$

Find the F-value that is missing in the ANOVA table.

• A) \(0.0120\)
• B) \(0.5242\)
• C) \(83.215\)
• D) \(0.5000\)

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Definitions:

Selective Listening

The process of hearing and focusing on certain aspects of a message while ignoring others, which can lead to misunderstandings or biased interpretations.

Proxemics

The study of human use of space and the effects that population density has on behaviour, communication, and social interaction.

Space

A continuous area or expanse that is available or unoccupied; in a broader context, it can also refer to the physical universe beyond the earth's atmosphere.

Selective Listening

The practice of focusing on certain parts of a message or some messages while ignoring others, often based on biases, interest, or relevance.