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307 Diamonds Were Sampled and Randomly Sorted into Three Groups

question 57

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. One-Way AOV for CARAT by CERT
 Source  DF  SS  MS  F  P  CERT 28.32654.1632683.210.0000 Error 30515.26040.05003 Total 30723.5869\begin{array}{llrcrc}\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\\hline \text { CERT } & 2 & 8.3265 & 4.16326 & 83.21 & 0.0000 \\\text { Error } & 305 & 15.2604 & 0.05003 & & \\\text { Total } & 307 & 23.5869 & & &\end{array}

Give a practical conclusion for the test in the words of the problem. Use α=0.10\alpha = 0.10 to make your conclusion.

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Definitions:

Income-Tax Filers

Individuals or entities that submit a report of their income to a governmental body to assess tax liabilities.

Efficiency Losses

The reduction in economic welfare resulting from distortions in resource allocation or market behavior.

Externalities

Costs or benefits that result from an activity or transaction and affect others who did not choose to incur that cost or benefit.

Demand Elasticities

Measures the responsiveness of demand for a good or service to changes in its price or other factors.

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