A Researcher Was Interested in Comparing the Number of Hours

Multiple Choice

A researcher was interested in comparing the number of hours of television watched each day by two-year-olds and three-year-olds. A random sample of 18 two-year-olds and 18 three-year-olds yielded the follow data.
$\begin{array}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|}\hline 2 y & 0.5 & 1.5 & 1.5 & 2.0 & 1.5 & 0.0 & 1.0 & 1.0 & 1.0 & 0.0 & 2.0 & 1.5 & 2.5 & 2.0 & 0.5 & 0.0 & 1.5 & 2.5 \\\hline 3 y & 2.0 & 3.0 & 1.5 & 1.5 & 1.5 & 2.0 & 1.0 & 0.0 & 0.0 & 1.5 & 1.5 & 2.0 & 2.5 & 2.0 & 3.0 & 1.0 & 1.5 & 0.5 \\\hline\end{array}$

Find a $98 \%$ confidence interval for the difference, $\mu _ { 2 } - \mu _ { 3 }$ , between the mean number of hours for two-year-olds $( 2 y )$ and the mean number of hours for three-year-olds ( $3 y$ ) .

A) $( 1.25,1.56 )$
B) $( - 1.56 , - 1.25 )$
C) $( - 0.98 , - 0.37 )$
D) $( - 0.37,0.98 )$
E) $( - 0.98,0.37 )$