Following Are the Heights in Inches of 12 Two-Year-Old Apple $\begin{array}{llllll}\hline 31.9 & 36.9 & 40.7 & 36.3 & 39.4 & 34.5 \\\hline 36.9 & 37.2 & 40.3 & 42.0 & 41.0 & 39.3 \\\hline\end{array}$

Multiple Choice

Following are the heights in inches of 12 two-year-old apple trees. Assume that the popul: normally distributed.
$\begin{array}{llllll}\hline 31.9 & 36.9 & 40.7 & 36.3 & 39.4 & 34.5 \\\hline 36.9 & 37.2 & 40.3 & 42.0 & 41.0 & 39.3 \\\hline\end{array}$
Construct a $99 \%$ confidence interval for the population standard deviation $\sigma$ .

A) $1.85 < \sigma < 5.61$
B) $1.93 < \sigma < 5.86$
C) $1.98 < \sigma < 5.63$
D) $1.90 < \sigma < 6.09$ on is