You have been asked to determine if two production processes have different mean numbers of units produced per hour. Process $1$ has a mean defined as $\backslash$mu $\_1$ and process $2$ has a mean defined as $\backslash$mu $\_2.$ The null and alternative hypotheses are as follows: HO : $\backslash$mu $\_$d$<=0$ ; H a: $\backslash$mu $\_$d$>0.$ Using a random sample of $25$ paired observations and d$=1\mathrm{.}489,$ s$\_$d$=1\mathrm{.}926,\backslash$alpha $=0\mathrm{.}025,$ This is a $,$ and the test statistic is equal The critical value at $2\mathrm{.}5\%$ is and p$-$value equal to Therefore, we