Automobile Insurance Appraisers Examine Cars That Have Been Involved in Accidental

Automobile insurance appraisers examine cars that have been involved in accidental collisions and estimate the cost of repairs. An insurance executive claims that there are significant differences in the estimates from different appraisers. To support his claim he takes a random sample of six cars that have recently been damaged in accidents. Three appraisers then estimate the repair costs of all six cars. From the data shown below, can we infer at the 5% significance level that the executive's claim is true? $$\begin{array} { | c | c | c | c | } \hline & &{ \text { Estimated repair cost } } \\\hline \text { Car } & \text { Appraiser 1 } & \begin{array} { c } \text { Appraiser } \\2\end{array} & \text { Appraiser 3 } \\\hline 1 & 650 & 600 & 750 \\\hline 2 & 930 & 910 & 1010 \\\hline 3 & 440 & 450 & 500 \\\hline 4 & 750 & 710 & 810 \\\hline 5 & 1190 & 1050 & 1250 \\\hline 6 & 1560 & 1270 & 1450 \\\hline\end{array}$$