Two processes are being analyzed to determine how they affect the mean quality of a manufacturingprocess. Specifically, process $1$ is currently in use, but process $2$ is acceptable. Since process $2$ is cheaper, itshould be adopted, providing it does not change the process quality. An experiment is run in the pilot plantand results in the data shown in the below given table. Is there any difference between the mean quality? Usealpha$=0\mathrm{.}05$ and assume equal variances.