Many Track Runners Believe That They Have a Better Chance

question 90

Essay

Many track runners believe that they have a better chance of winning if they start in the inside lane that is
closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on
until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting
positions. Test the claim that the number of wins is uniformly distributed across the different starting
positions. The results are based on 240 wins. $$\begin{array} { l | c c c c c c } \text { Starting Position } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Number of Wins } & 33 & 44 & 45 & 32 & 36 & 50\end{array}$$

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Definitions:

Implicit Cost

The opportunity cost incurred by using assets, resources, or funds for a specific purpose rather than the next best alternative.

Competitive Rate

Pricing that is on par or better than what is offered by competitors in the market, often used to attract customers.

Property Taxes

Levies imposed by local governments on real estate properties, calculated based on the value of the property.

Opportunity Costs

Sacrificing potential profits from other possibilities when a certain option is selected.