Construct Confidence Intervals for a Mean Response
-The Data Below $95 \%$

Multiple Choice

Construct Confidence Intervals for a Mean Response
-The data below are the scores of 10 randomly selected students from a statistics class and the number of hours they slept the night before the exam. Construct a $95 \%$ confidence interval about the mean value of $y$ , the score on the final exam, given $x = 7$ hours, $\mathrm { y } = 5.044 \mathrm { x } + 56.11$ and $\mathrm { se } = 6.305$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Hours, } \mathrm{x} & 3 & 5 & 2 & 8 & 2 & 4 & 4 & 5 & 6 & 3 \\\hline \text { Scores, } \mathrm{y} & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71\end{array}$

A) $( 82.840,99.996 )$
B) $( 74.54,108.30 )$
C) $( 77.21,110.45 )$
D) $( 79.16,112.34 )$