Battery Manufacturer
a Battery Manufacturer Claims That Their New "Long-Lasting

Battery Manufacturer
A battery manufacturer claims that their new "long-lasting" battery has an average life that is significantly longer than their competitor's "regular" battery.Both types of batteries were tested and the number of hours each battery lasted is shown in the following table.
$$\begin{array} { | c | c } \hline \begin{array} { c } \text { Long-Leasting Battery } \\\text { (Pupulation 1) }\end{array} & \begin{array} { c } \text { Regular Battery } \\\text { (Pupulation 2) }\end{array} \\\hline 51 & 42 \\\hline 44 & 29 \\\hline 58 & 51 \\\hline 36 & 38 \\\hline 48 & 39 \\\hline 53 & 44 \\\hline 57 & 35 \\\hline 40 & 40 \\\hline 49 & 48 \\\hline 44 & 45 \\\hline 60 & \\\hline 50 & \\\hline\end{array}$$
-Assume unequal variances.Using $\alpha$ = 0.01,state the decision rule in terms of the critical value.