To find the best arrangement of equipment at the rear of a fire truck, 3 different arrangements were tested by simulating a fire condition and observing the reaction time required to extinguish the fire. The reaction time (in seconds) of 24 firefighters (randomly assigned to the different arrangements) were as follows:

\(\begin{array}{lllllllllll}\text { Arrangement 2: } & 34 & 30 & 28 & 35 & 39 & 28 & 39 & 42 & 38 & 27\end{array}\)

\(\begin{array}{llllllll}\text { Arrangement 3: } & 28 & 35 & 39 & 26 & 31 & 30 & 28\end{array}\)

Test at the level of significance \(\alpha=0.05\) whether we can reject the null hypothesis that the differences among the arrangements have no effect.

Transcribed Image Text:

Arrangement 1: 40 35 30 32 34 29 36