Construct Confidence Intervals for a Mean Response
-In an Area $95 \%$

Construct Confidence Intervals for a Mean Response
-In an area of Russia, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre) . Construct a $95 \%$ confidence interval about the mean value of $y$ , the yield, given $x = 11$ inches, $\mathrm { y } = 4.379 \mathrm { x } + 4.267$ and $\mathrm { se } _ { \mathrm { e } } = 3.529$ .
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Rainfall (in inches) , } \mathrm{x} & 10.5 & 8.8 & 13.4 & 12.5 & 18.8 & 10.3 & 7.0 & 15.6 & 16.0 \\\hline \text { Yield (bushels per acre) , } \mathrm{y} & 50.5 & 46.2 & 58.8 & 59.0 & 82.4 & 49.2 & 31.9 & 76.0 & 78.8\end{array}$

A) $( 49.41,55.47 )$
B) $( 43.56,61.32 )$
C) $( 40.54,64.15 )$
D) $( 39.86,65.98 )$