Find the margin of error.
-The amounts (in ounces) of juice in eight randomly selected juice bottles are:
$\begin{array} { l l l l }15.7&15 .6 & 15.3 &15.3\
15.1 & 15.6 & 15.3 & 15.4 \end{array}$
Find a 98 percent confidence interval for the population standard deviation $\sigma$.
A) $( 0.17,0.66 )$
B) $( 0.13,0.42 )$
C) $( 0.13,0.48 )$
D) $( 0.12,0.42 )$

Question

Find the margin of error.
-The amounts (in ounces) of juice in eight randomly selected juice bottles are:
$\begin{array} { l l l l }15.7&15 .6 & 15.3 &15.3\
 15.1 & 15.6 & 15.3 & 15.4 \end{array}$
Find a 98 percent confidence interval for the population standard deviation $\sigma$.
A) $( 0.17,0.66 )$
B) $( 0.13,0.42 )$
C) $( 0.13,0.48 )$
D) $( 0.12,0.42 )$

Quizplus · Accepted Answer

The margin of error is calculated using the chi-square distribution for the standard deviation. With 7 degrees of freedom and a 98% confidence level, the interval is (0.13, 0.48).

Find the Margin of Error 15.715.615.315.315.115.615.315.4\begin{array} { l l l l }15.7&15 .6 & 15.3 &15.3\\ 15.1 & 15.6 & 15.3 & 15.4 \end{array}15.715.1​15.615.6​15.315.3​15.315.4​

Find the Margin of Error $\begin{array} { l l l l }15.7&15 .6 & 15.3 &15.3\\ 15.1 & 15.6 & 15.3 & 15.4 \end{array}$