Automobile Insurance Appraisers Examine Cars That Have Been Involved in Accidental

question 42

Essay

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? $$\begin{array} { | c | c | c | c | } \hline & &{ \text { Estimated repair cost } } \\\hline \text { Car } & \text { Appraiser 1 } & \begin{array} { c } \text { Appraiser } \\2\end{array} & \text { Appraiser 3 } \\\hline 1 & 650 & 600 & 750 \\\hline 2 & 930 & 910 & 1010 \\\hline 3 & 440 & 450 & 500 \\\hline 4 & 750 & 710 & 810 \\\hline 5 & 1190 & 1050 & 1250 \\\hline 6 & 1560 & 1270 & 1450 \\\hline\end{array}$$

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Definitions:

Social Isolation

A state where an individual lacks a sense of social belonging, social engagement, and fulfilling relationships.

Stereotypic Rocking

A repetitive movement, commonly seen in some individuals with developmental disorders or those experiencing extreme stress, characterized by back-and-forth rocking of the body.

Parent-Child Relationships

Refers to the dynamic and complex interactions and bonds formed between parents and their children, influencing their emotional, psychological, and social development.

Emotional Bases

The underlying feelings or emotions that serve as the foundation for behaviors, attitudes, or perceptions.