An experiment is conducted to compare the maximum load capacity In tons (the maximum weight that can be tolerated without breaking) for two alioysAand B It is known that the two standard deinations in load capacity are equal at 7 tons each The experiment is conducted on 50 specimens of each alioy (A and E] and the results are XA =67 4, x5: 63,4, and XA , X3 = 4 The manufacturers of alloy A are convinced that this eVIdence shows conclusively that M > [AB and strongly suppons the claim that their alloy is superior Manutactureis ol alloy E claim that the experiment could easily have given kA 7 >13 : 4 even if the two population means are equal, Complete parts (a) and (b) below CIICk here to view p_age 1 of the standard normal distribution table CIICk here to view page 2 of the standard normal distribution table (a) Make an argument that manufacturers of alloy E are wrong, Do it by computing POEA , in > 4 i M : p5) Pp'griam]