Use the Data in the Given Table and the Corresponding

question 51

Essay

Use the data in the given table and the corresponding Minitab display to test the hypothesis. The following table shows the mileage for four different cars and three different brands of gas. Assuming no effect from the interaction between car and brand of gas, test the claim that the four cars have the same mean mileage. Use a 0.05 significance level. $$\begin{array}{l}\begin{array} { l | l l l } & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \\\hline \text { Car 1 } & 22.4 & 25.2 & 24.3 \\\text { Car 2 } & 19 & 18.6 & 19.8 \\\text { Car 3 } & 24.6 & 25 & 25.4 \\\text { Car 4 } & 23.5 & 23.6 & 24.1\end{array}\\\begin{array} { l r r r r c } \text { Source } & D F & S S & M S & F & p \\\text { Car } & 3 & 61.249 & 20.416 & 39.033 & 0.000249 \\\text { Gas } & 2 & 2.222 & 1.111 & 2.124 & 0.200726 \\\text { Error } & 6 & 3.138 & 0.523 & & \\\text { Total } & 11 & 66.609 & & &\end{array}\end{array}$$

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Definitions:

Pulmonary Consolidation

An acute lung pathology characterized by the filling of airspaces with liquid instead of air, often seen in pneumonia.

Bronchophony

An abnormal increase in the clarity of transmitted voice sounds heard when auscultating the lungs, indicative of lung pathology.

Auscultation

The act of listening to the sounds of the body, typically using a stethoscope, as part of a medical examination to assess the condition of the heart, lungs, or other organs.

Unequal Chest Expansion

A condition where one side of the chest expands less than the other during breathing, often indicating underlying respiratory or musculoskeletal disorders.