Many Track Hurdlers Believe That They Have a Better Chance $\alpha = 0.05$

question 21

Short Answer

Many track hurdlers 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 hurdlers in the different starting positions. Test the claim that the probabilities of winning are the same in the different positions. Use $\alpha = 0.05$ . The results are based on 240 wins.
$\begin{array}{l|lllllll}\text { Starting Position } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Number of Wins } & 36 & 33 & 32 & 45 & 44 & 50\end{array}$

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Definitions:

Profitability Index

A financial metric that measures the relative profitability of an investment, calculated as the present value of future cash flows divided by the initial investment cost.

Present Value

The current value of a future sum of money or stream of cash flows given a specified rate of return.

Initial Investment

The amount of capital put into a project or business at the beginning, often used in capital budgeting to analyze potential returns.

Life Of Equipment

The estimated duration for which equipment can be expected to operate effectively and be used productively by a business.