Measurements Were Made of the Milk Fat Content (In Percent) $\begin{array}{llllll}\hline 27.5 & 19.3 & 32.0 & 23.5 & 24.6 & 16.9 \\\hline\end{array}$

Multiple Choice

Measurements were made of the milk fat content (in percent) in six brands of feta cheese variety of goat cheese) , with the following results. Assume that the population is normally distributed.
$\begin{array}{llllll}\hline 27.5 & 19.3 & 32.0 & 23.5 & 24.6 & 16.9 \\\hline\end{array}$

Construct a $90 \%$ confidence interval for the population standard deviation $\sigma$ .

A) $3.44 < \sigma < 9.56$
B) $3.77 < \sigma < 10.47$
C) $3.67 < \sigma < 11.42$
D) $4.02 < \sigma < 9.63$