A Coach Uses a New Technique in Training Middle Distance

question 35

Essay

A coach uses a new technique in training middle distance runners.The times for 8 different athletes to run 800 metres before and after this training are shown below. $$\begin{array} { c | c c c c c c c c } \text { Athlete } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } & \mathrm { F } & \mathrm { G } & \mathrm { H } \\\hline \begin{array} { c } \text { Time before training } \\\text { (seconds) }\end{array} & 115.6 & 115.6 & 113.7 & 118.6 & 118 & 119.9 & 110.7 & 119.5 \\\hline \begin{array} { c } \text { Time after training } \\\text { (seconds) }\end{array} & 116.2 & 114.3 & 111.3 & 119.4 & 116.2 & 120 & 107.1 & 115.6\end{array}$$ Do the data suggest that,on average,the training helps to improve the athletes' times for the 800 metres? Perform a paired $\text { t-test }$ at the 5% significance level.

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Definitions:

Transparent

Characterized by openness and clarity, allowing full visibility of processes, intentions, or operations.

Optic Nerve

The nerve that transmits visual information from the retina to the brain, distinct from but closely related to the optic chiasms where these nerves intersect.

Retina

The light-sensitive layer of tissue at the back of the inner eye, which acts as the film in a camera, capturing images.

Severe Damage

Severe damage refers to extensive harm or destruction that significantly affects the function or structure of an object, organism, or system.