The Following Data Were Generated from a Matched Pairs Experiment

Essay

The following data were generated from a matched pairs experiment: $$\begin{array} { | l | l | l | l | l | l | l | l | } \hline \text { Pair: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\hline \text { Sample 1: } & 8 & 15 & 7 & 9 & 10 & 13 & 11 \\\hline \text { Sample 2: } & 12 & 18 & 8 & 9 & 12 & 11 & 10 \\\hline\end{array}$$ a. Estimate with 90% confidence the mean difference.
b. Briefly describe what the interval estimate in part a. tells you, and explain how to use it to test the hypotheses.