Three Major Automobile Manufacturers Have Entered Their Cars in the Indianapolis

question 46

Essay

Three major automobile manufacturers have entered their cars in the Indianapolis 500 race. The speeds of the tested cars are given below. $$\begin{array} { c c c } \text { Manufacturer A } & \text { Manufacturer B } & \text { Manufacturer C } \\180 & 177 & 175 \\175 & 180 & 176 \\179 & 167 & 177 \\176 & 172 & \\190 & &\end{array}$$ At α = .05, test to see if there is a significant difference in the average speeds of the cars of the auto manufacturers.

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Definitions:

Success Probability

The likelihood or chance of an event happening, particularly used in the context of achieving a specific outcome.

Rate

A measure, quantity, or frequency, typically one measured against another quantity or measure, such as speed (distance per unit of time) or interest rate (interest per unit of time or per amount of principle).

Successes Occur

Instances in which an outcome meets the defined criteria for success in an experiment or set of observations.

Poisson Random Variable

A statistical measure that represents the probability of a given number of events occurring in a fixed interval of time or space.