Use the Given Degree of Confidence and Sample Data to Construct

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu$ . Assume that the population has a normal distribution.
-The amounts (in ounces) of juice in eight randomly selected juice bottles are: $\begin{array} { l l l l } 15.4 & 15.8 & 15.4 & 15.1 \end{array}$
$\begin{array} { l l l l } 15.8 & 15.9 & 15.8 & 15.7 \end{array}$
Construct a $98 \%$ confidence interval for the mean amount of juice in all such bottles.

A) $15.23 \mathrm { oz } < \mu < 15.99 \mathrm { oz }$
B) $15.33 \mathrm { oz } < \mu < 15.89 \mathrm { oz }$
C) $15.89 \mathrm { oz } < \mu < 15.33 \mathrm { oz }$
D) $15.99 \mathrm { oz } < \mu < 15.23 \mathrm { oz }$