Provide an Appropriate Response $95 \%$ Prediction Interval For $y$ , the Score on the Final Exam, Given

Multiple Choice

Provide an appropriate 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 $95 \%$ prediction interval for $y$ , the score on the final exam, given $x = 7$ hours, $\hat {y} = 5.044 x + 56.11$ and $s _ { e } = 6.305$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|c|}\text { Hours, } x & 3 & 5 & 2 & 8 & 2 & 4 & 4 & 5 & 6 & 3 \\\hline \text { Scores, } y & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71\end{array}$

A) $( 74.54,108.30 )$
B) $( 55.43,78.19 )$
C) $( 77.21,110.45 )$
D) $( 82.840,99.996 )$