In a Study Comparing the Effects of Four Energy Drinks $\alpha = .025$

question 37

Essay

In a study comparing the effects of four energy drinks on running speed, eight runners were timed (in seconds) running four miles. On each day, they were given a single energy drink. The data are listed below. Is there evidence of a difference in the probability distributions of the running times among the four drinks? Use $\alpha = .025$ .
$\begin{array}{ccccc}{\text { Drink }} \\\hline \text { Runner } & 1 & 2 & 3 & 4 \\\hline 1 & 1229 & 1230 & 1277 & 1248 \\2 & 1133 & 1039 & 1155 & 1163 \\3 & 1233 & 1361 & 1295 & 1307 \\4 & 1260 & 1221 & 1276 & 1271 \\5 & 1163 & 1125 & 1219 & 1224 \\6 & 1322 & 1299 & 1352 & 1348 \\7 & 1224 & 1265 & 1261 & 1247 \\8 & 1247 & 1138 & 1275 & 1252\end{array}$

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Definitions:

Reuptake

A process by which neurotransmitters released into the synaptic cleft are reabsorbed by the presynaptic neuron, helping to terminate the synaptic transmission.

Action Potential

A temporary reversal of the electrical polarization of the membrane of a nerve cell or muscle cell, allowing for the transmission of signals.

Muscular Paralysis

The loss of muscle function in part of your body, typically resulting from damage to the nervous system.

Acetylcholine

A neurotransmitter in the nervous system that plays an important role in muscle activation and memory functions.