The weights (in $\text{kg}$) of $8$ randomly selected sealed sugar packs were recorded as follows:
$1.0,1.2,0.9,1.1,1.0,0.8,1.3,1.1$
Assuming the weights follow a normal distribution, construct a $99\%$ confidence interval for the population standard deviation ($\sigma$). Also, interpret the results.

• A. $(0.09,0.43)$We are $99\%$ confident that the true standard deviation in sealed sugar pack weights is between $0.09$ and $0.43\text{ kg}$
• B. $(0.12,0.24)$We are $99\%$ confident that the true standard deviation in sealed sugar pack weights is between $0.12$ and $0.24\text{ kg}$
• C. $(0.12,0.24)$We are $90\%$ confident that the true standard deviation in sealed sugar pack weights is below $0.12$ and above $0.24\text{ kg}$
• D. $(0.09,0.38)$We are $90\%$ confident that the true standard deviation in sealed sugar pack weights is below $0.09$ and above $0.38\text{ kg}$

Answer: (A)