A Fire-Science Specialist Tests Three Different Brands of Flares for Their

Essay

A fire-science specialist tests three different brands of flares for their burning times (in minutes) and the results
are given below for the sample data. At the 0.05 significance level, test the claim that the three different brands
have the same median burn time. $$\begin{array} { l l l l l l l l } \text { Brand X } & 16.4 & 17.6 & 18.3 & 17.0 & 17.1 & 17.3 & \\\hline \text { Brand Y } & 17.9 & 18.0 & 17.8 & 18.4 & 17.6 & 19.0 & 19.1 \\\hline \text { Brand Z } & 17.3 & 16.4 & 16.5 & 16.0 & 15.8 & 16.3 & 17.1\end{array}$$