In Order to Compare the Life Expectancies of Three Different

question 43

Essay

In order to compare the life expectancies of three different brands of tires, ten tires of each brand were randomly selected and were subjected to standard wear testing procedures. Information regarding the three brands is shown below.
$\begin{array}{ccc}&\text { Brand A }&\text { Brand B }&\text { Brand C }\\\text { Average mileage in } 1000 \text { miles) }&37 & 38 & 33 \\\text { Sample variance }&3 & 4 & 2\end{array}$ Use the above data and test to see if the mean mileage for all three brands of tires is the same. Let α = 0.05. Use both the critical value and p-value approaches.

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Definitions:

Preterm Births

Births that occur before the 37th week of pregnancy, often associated with increased risks for health problems in infants.

Genetic Abnormalities

Conditions caused by anomalies in chromosomes or genes, leading to various disorders or syndromes.

Mother

A female parent or guardian who provides care, support, and nurturance to her offspring.

Monozygotic Twins

Twins that develop from a single fertilized egg and are genetically identical.