Six Observations Were Selected from Each of Three Populations Test at the α = 0

Essay

Six observations were selected from each of three populations. The data obtained is shown below.
$\begin{array}{lll}\text { Sample } 1&\text { Sample } 2&\text { Sample } 3\\31 & 37 & 37 \\28 & 32 & 31 \\34 & 34 & 32 \\32 & 24 & 39 \\26 & 32 & 30 \\29 & 33 & 35\end{array}$ Test at the α = 0.05 level to determine if there is a significant difference in the means of the three populations. Use both the critical value and the p-value approaches.