The Following Table Entries Are the Times in Seconds for Three

question 24

Essay

The following table entries are the times in seconds for three different drivers racing on four different tracks.
Assuming no effect from the interaction between driver and track, test the claim that the track has no effect on
the time. Use a 0.05 significance level. $\begin{array}{l|cccc} & \text { Track 1 } & \text { Track 2 } & \text { Track 3 } & \text { Track 4 } \\\hline \text { Driver 1 } & 72 & 70 & 68 & 71 \\\text { Driver 2 } & 74 & 71 & 66 & 72 \\\text { Driver 3 } & 76 & 69 & 64 & 70\end{array}$


$\begin{array}{lccccc}\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \\\text { Driver } & 2 & 2 & 1 & 0.33 & 0.729 \\\text { Track } & 3 & 98.25 & 32.75 & 10.92 & 0.00763 \\\text { Error } & 6 & 18 & 3 & & \\\text { Total } & 11 & 118.25 & & &\end{array}$

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Definitions:

Melatonin

A hormone produced by the pineal gland that regulates sleep and wakefulness cycles.

Adrenalin

Also known as epinephrine, a hormone and medication which increases heart rate, muscle strength, blood pressure, and sugar metabolism, often in response to stress.

Circadian Cycle

A natural, internal process that regulates the sleep-wake cycle and repeats roughly every 24 hours.

Cortisol

A steroid hormone produced by the adrenal glands, which plays a vital role in the body's response to stress.