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Many Track Runners Believe That They Have a Better Chance χ2\chi ^ { 2 }

question 17

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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. Calculate the chi-square test statistic χ χ2\chi ^ { 2 } to test the claim that the number of wins is uniformly
Distributed across the different starting positions. The results are based on 240 wins.  Starting Position 123456 Number of Wins 453633503244\begin{array} { c | c c c c c c } \text { Starting Position } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Number of Wins } & 45 & 36 & 33 & 50 & 32 & 44\end{array}


Definitions:

Situational Interviews

A type of interview where candidates are asked to describe how they would respond to hypothetical scenarios related to the job, assessing their problem-solving abilities and suitability.

Actual Behaviours

The real actions exhibited by individuals, as opposed to their intentions or beliefs.

Phone Interviews

A method of conducting an interview or gathering information over the telephone.

Practise

The act of repeatedly performing an activity or exercise to acquire or maintain proficiency in it.

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