Question

A manufacturer wishes to determine whether or not the "bonded" fabric can withstand more pulling stress than standard fabric sewn with thread. Tow samples of the loosen fabrics are taken. Each pair of loosen fabrics has....

A manufacturer wishes to determine whether or not the "bonded" fabric can withstand more pulling stress than standard fabric sewn with thread. Two samples of the loosen fabrics are taken. Each pair of loosen fabrics has the fabric tested in an application of force to determine the breaking point in lbs.) for the fabric. The sample results are: Sample 1: Sewn Sample 2: Glued nu = 50 n2 = 50 X1 = 125 ibs X 2 = 165 ibs Si = 46 Ibs S2 = 37 Ibs (a) Construct the 95% confidence interval of the mean difference breaking point between the two means. (b) Use the values of your confidence interval above to test at 5% a level, if there is significant difference in the breaking point between the glued fabric and the swed fabric.

Answer 1

solution Here from the given data ni=50 x1 =125, si=u6 n2=50, Xo =165, 82=37 (Mi-D sit (M2D 52 1742-2276 - nitr2-2 SE = hit the) = 1742-2276 (sot 50 = 8.308 d-f= nitna-2=50+50-2=98 At 95%, ty 1.9845 The 95%(.I for el-lly is (21-72) I ty SE = (125-165) I 198us (8-348) =-uo £ 16.567=(-56.567, -23.433) b) here the above interval does not contain the value zero. so, we can say that there is a significance difference in the breaking point between the glued fabric & the sued fabric. - Here from the above interval, both interval values are negative. so, coe can say that the bonded fabric con with stand more pulling stress than standard fabric sewn cwrth thread.