The volumes (in ounces) of juice in eight randomly selected juice bottles are as follows:

$\begin{array} { l l l l } 15.7 & 15.0 & 15.1 & 15.8 \ 15.4 & 15.2 & 15.5 & 15.6 \end{array}$
Find a 99% confidence interval for the standard deviation, $\sigma$ , of the volumes of juice in all such bottles. Round to the nearest hundredth when necessary.
A) (0.19, 0.88)
B) (0.17, 0.66)
C) (0.17, 0.77)
D) (0.16, 0.66)

Question

The volumes (in ounces) of juice in eight randomly selected juice bottles are as follows:

$\begin{array} { l l l l } 15.7 & 15.0 & 15.1 & 15.8 \ 15.4 & 15.2 & 15.5 & 15.6 \end{array}$
 Find a 99% confidence interval for the standard deviation, $\sigma$ , of the volumes of juice in all such bottles. Round to the nearest hundredth when necessary.
A) (0.19, 0.88)
B) (0.17, 0.66)
C) (0.17, 0.77)
D) (0.16, 0.66)

Quizplus · Accepted Answer

The 99% confidence interval for the standard deviation is calculated using the chi-square distribution. The correct interval is (0.17, 0.77).

The Volumes (In Ounces) of Juice in Eight Randomly Selected 15.715.015.115.815.415.215.515.6\begin{array} { l l l l } 15.7 & 15.0 & 15.1 & 15.8 \\ 15.4 & 15.2 & 15.5 & 15.6 \end{array}15.715.4​15.015.2​15.115.5​15.815.6​

The Volumes (In Ounces) of Juice in Eight Randomly Selected $\begin{array} { l l l l } 15.7 & 15.0 & 15.1 & 15.8 \\ 15.4 & 15.2 & 15.5 & 15.6 \end{array}$