Consider the Accompanying Data on Breaking Load (Kg/25 Mm Width) $H _ { 0 } : \mu _ { D } = 0 \text { versus } H _ { a } : \mu _ { D } > 0$

Essay

Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abraded condition. Use the paired t test at significance level .01 to test $H _ { 0 } : \mu _ { D } = 0 \text { versus } H _ { a } : \mu _ { D } > 0$ .
Fabric $$\begin{array} { l | c c c c c c c c } \hline & \mathbf { 1 } & \mathbf { 2 } & \mathbf { 3 } & \mathbf { 4 } & \mathbf { 5 } & \mathbf { 6 } & \mathbf { 7 } & \mathbf { 8 } \\\hline \text { U } & 25.6 & 48.8 & 49.8 & 43.2 & 38.7 & 55.0 & 36.4 & 51.5 \\\mathrm {~A} & 26.5 & 52.5 & 46.5 & 36.5 & 34.5 & 20.0 & 28.5 & 46.0 \\\hline\end{array}$$