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

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 $\alpha = .025$ .
$\begin{array}{ccccc}{\text { Drink }} \\\hline \text { Runner } & 1 & 2 & 3 & 4 \\\hline 1 & 1229 & 1230 & 1277 & 1248 \\2 & 1133 & 1039 & 1155 & 1163 \\3 & 1233 & 1361 & 1295 & 1307 \\4 & 1260 & 1221 & 1276 & 1271 \\5 & 1163 & 1125 & 1219 & 1224 \\6 & 1322 & 1299 & 1352 & 1348 \\7 & 1224 & 1265 & 1261 & 1247 \\8 & 1247 & 1138 & 1275 & 1252\end{array}$