The Data Below Are the Scores of 10 Randomly Selected $$s _ { \mathrm { e } }$$

Multiple Choice

The data below are the scores of 10 randomly selected students from a statistics class and the number of hours they studied for the exam. Construct a 95% prediction interval for y, the score on the final exam, given x = 7
Hours,? = 5.044x + 56.11 and $$s _ { \mathrm { e } }$$ = 6.305. Round interval to two decimal places. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } \text { Hours, } \mathrm { x } & 3 & 5 & 2 & 8 & 2 & 4 & 4 & 5 & 6 & 3 \\\hline \text { Scores, } \mathrm { y } & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71\end{array}$$

A) $74.54 < y < 108.30$
B) $55.43 < y < 78.19$
C) $77.21 < y < 110.45$
D) $79.16 < y < 112.34$