Max. Points: $30$

Show your work including the hypothesis and the graph for problems that apply?

$(5$ points$)$ Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength of this plastic is important. We obtain sample averages X$1=162\mathrm{.}5$ and $x2=155$ psi. The company will not adopt plastic $1$ unless its braking strength exceeds that of plastic $2$ by at least $10$ psi. Setup the appropriate hypothesis Test?