The Following Table Shows the Mileage for Four Different Cars

question 30

Essay

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 three brands of gas provide the same mean gas mileage. Use a 0.05 significance level. $$\begin{array}{l}\begin{array} { l | l l l } & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \\\hline \text { Car 1 } & 22.4 & 25.2 & 24.3 \\\text { Car 2 } & 19 & 18.6 & 19.8 \\\text { Car 3 } & 24.6 & 25 & 25.4 \\\text { Car 4 } & 23.5 & 23.6 & 24.1\end{array}\\\\\begin{array} { l r r r r c } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \\\text { Car } & 3 & 61.249 & 20.416 & 39.033 & 0.000249 \\\text { Gas } & 2 & 2.222 & 1.111 & 2.124 & 0.200726 \\\text { Error } & 6 & 3.138 & 0.523 & & \\\text { Total } & 11 & 66.609 & & &\end{array}\end{array}$$

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Definitions:

Protein-bound Iodine

A measure of the concentration of iodine bound to proteins in the blood, used to assess thyroid function.

Triiodothyronine

A thyroid hormone, also known as T3, which plays a crucial role in regulating metabolism, heart rate, and body temperature.

Correct Abbreviation

A precise shortened form or acronym that accurately represents the expanded form of a word or phrase.

Thyroxine

A hormone produced by the thyroid gland, important for regulating metabolism.