Three Different Models of Automobiles (A, B, and C) Were

question 71

Essay

Three different models of automobiles (A, B, and C) were compared for gasoline consumption. For each model of car, fifteen cars were randomly selected and subjected to standard driving procedures. The average miles/gallon obtained for each model of car and sample standard deviations are shown below. $$\begin{array}{l}&\text { Car } A & \text { Car B } & \text { Car C } \\\text { Average miles per gallon }&42 & 49 & 44 \\\text { Sample standard deviation }&4 & 5 & 3\end{array}$$ Use the above data and test to see if the mean gasoline consumption for all three models of cars is the same. Let α = .05.
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Definitions:

Arbitrary

Based on random choice or personal whim, rather than any reason or system.

Continuous Data

Data that can take on any value within a given range, as opposed to discrete data which can only take on specific values.

Equal Space

The provision or allocation of the same amount of physical or metaphorical room to different parties, ideas, or entities.

Central Tendency

Central tendency refers to a central value or a typical value for a probability distribution. It is a measure that attempts to describe a set of data by identifying the central position within that set of data. The most common measures of central tendency are the mean, median, and mode.