In a Study Comparing the Effects of Four Energy Drinks $\quad$

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 α = .025. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\quad$ $\quad$$\text { Drink }$
$\begin{array} { c c c c c } \hline \text { Runner } & 1 & 2 & 3 & 4 \\\hline 1 & 1216 & 1217 & 1264 & 1235 \\2 & 1120 & 1026 & 1142 & 1150 \\3 & 1220 & 1348 & 1282 & 1294 \\4 & 1247 & 1208 & 1263 & 1258 \\5 & 1150 & 1112 & 1206 & 1211 \\6 & 1309 & 1286 & 1339 & 1335 \\7 & 1211 & 1252 & 1248 & 1234 \\8 & 1234 & 1125 & 1262 & 1239 \\\hline\end{array}$