Construct a Confidence Interval For $\mu _ { \mathrm { d } }$

Construct a confidence interval for $\mu _ { \mathrm { d } }$ , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-Five students took a math test before and after tutoring. Their scores were as follows. $$\begin{array} { | c | c c c c c | } \hline \text { Subject } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\\hline \text { Before } & 71 & 66 & 67 & 77 & 75 \\\hline \text { After } & 75 & 75 & 65 & 80 & 87 \\\hline\end{array}$$ Using a 0.01 level of significance, test the claim that the tutoring has an effect on the math scores.