Preliminary data analyses and other information indicate that you can reasonably assume that, the variable under consideration is normally distributed on both populations. For each exercise, use either the critical-value approach or the $P$-value approach to perform the required hypothesis test.
During the 1960 s, liquor stores either were run by the state as a monopoly or were privately owned. Independent samples of state-run and privately owned liquor stores yielded the following prices, in dollars, for a fifth of Seagram's 7 Crown Whiskey. [SOURCE: Julian L. Simon and Peter Bruce, "Resampling: A Tool for Everyday Statistical Work," Chance, Vol. 4(1), pp. 23-32]
$$\begin{array}{cccc|cccc}
\hline {\text { State run }} &&&& {\text { Privately owned }} \\
\hline 4.65 & 4.11 & 4.20 & 3.80 & 4.82 & 4.85 & 4.80 & 4.85 \\
4.74 & 4.10 & 5.05 & 4.00 & 4.54 & 5.20 & 4.90 & 4.29 \\
4.55 & 4.15 & 4.55 & 4.19 & 4.95 & 4.95 & 4.75 & 4.79 \\
4.50 & 4.00 & 4.20 & 4.75 & 5.29 & 4.85 & 4.29 & 4.85 \\
& & & & 4.75 & 5.10 & 5.25 & 4.95 \\
& & & & 4.75 & 4.55 & 4.79 & \\
& & 4.89 & 4.50 & 5.30 & \\
\hline
\end{array}$$
At the $10 \%$ significance level, do the data provide sufficient evidence to conclude that there was more price variation in staterun stores than in privately owned stores? (Note: $s_{1}=0.344$ and $\left.s_{2}=0.264 .\right)$
Inferences for Population Standard…
Inferences for Two Population Standard…