A quality technician claims that the variance of the insert diameters produced
by a plastic company's new injection mold for automobile dashboard inserts is
less than the variance of the insert diameters produced by the company's
current mold. The table shows samples of insert diameters (in centimeters) for
both the current and new molds. At \(\alpha=0.05\), can you support the
technician's claim?
\begin{aligned}
&\begin{array}{|l|l|l|l|l|l|l|}
\hline \text { New } & 9.611 & 9.618 & 9.594 & 9.580 & 9.611 & 9.597 \\
\hline \text { Current } & 9.571 & 9.642 & 9.650 & 9.651 & 9.596 & 9.636 \\
\hline
\end{array}\\\
&\begin{array}{|l|l|l|l|l|l|l|}
\hline \text { New } & 9.638 & 9.568 & 9.605 & 9.603 & 9.647 & 9.590 \\
\hline \text { Current } & 9.570 & 9.537 & 9.641 & 9.625 & 9.626 & 9.579 \\
\hline
\end{array}
\end{aligned}