Slacks Manufacturer
a Slacks Manufacturer Is Deciding Whether to Purchase

Slacks Manufacturer
A slacks manufacturer is deciding whether to purchase a new method for bonding seams together.Before purchasing a new method that bonds,or glues,the seams together,the manufacturer wishes to determine whether or not the "bonded" seams can withstand more pulling stress than standard seams sewn with thread.The creator of the new method provides a demonstration machine and supplies for the slacks maker to test.Two samples of the slacks produced are taken.Each pair of slacks has the seams tested in an application of force to determine the breaking point (in lbs.)for the seam.The sample results are: $$\begin{array} { | c | c | } \hline \text { Sample 1: Sewn } & \text { Sample 2: Glued } \\\hline n _ { 1 } = 50 & n _ { 2 } = 50 \\\bar { x } _ { 1 } = 125 \mathrm { Ibs } . & \bar { x } _ { 2 } = 165 \mathrm { Ibs } . \\s _ { 1 } = 46 \mathrm { Ibs } . & s _ { 2 } = 57 \mathrm { Ibs } . \\\hline\end{array}$$
-The test question is: At the 0.05 level of significance,is the gluing of seams better than sewing? What is the decision rule?