130 Brand X Oil Filters and 93 Brand Y Oil $\mu_Y$

130 Brand X oil filters and 93 Brand Y oil filters were tested for milligrams of residue,with the following results.Find a 95% confidence interval for $\mu_Y$ - $\mu_\mathrm { X }$ . $$\begin{array} { | c | c | c | } \hline & \begin{array} { c } \text { sample } \\\text { mean }\end{array} & \begin{array} { c } \text { Sample } \\\text { standard } \\\text { deviation }\end{array} \\\hline \text { Brand } X & \text { A } & \text { B } \\\hline \text { Brand } Y & \text { C } & \text { D } \\\hline\end{array}$$ A = 4.3 B = 0.13 C = 5.7 D = 0.11

A) (-1.44,1.43)
B) (-1.43,-1.37)
C) (-1.44,-1.36)
D) (0.97,1.83)
E) (1.37,1.43)