Using the Sample Paired Data Below, Construct a 90% Confidence $\begin{array}{|l|l|l|l|l|l|}\hline x & 5.0 & 4.7 & 4.4 & 5.1 & 6.4 \\\hline y & 4.7 & 3.5 & 4.0 & 5.8 & 4.1 \\\hline\end{array}$

Multiple Choice

Using the sample paired data below, construct a 90% confidence interval for the population mean of all differences x-y

$\begin{array}{|l|l|l|l|l|l|}\hline x & 5.0 & 4.7 & 4.4 & 5.1 & 6.4 \\\hline y & 4.7 & 3.5 & 4.0 & 5.8 & 4.1 \\\hline\end{array}$

A) $( - 0.69,2.09 )$
B) $( 0.22,7.48 )$
C) $( - 0.37,1.77 )$
D) $( - 0.07,1.47 )$
E) $( - 0.48,1.88 )$