A procurement specialist has purchased 25resistors from vendor 1 and 30 resistors from vendor 2. Let X1,1,X1,2, , X1,25 represent the vendor 1 observed resistances,which are assumed to be normally and independently distributed withmean 100 ohms and standard deviation 1.5 ohms. Similarly, let X2,1,X2,2, , X2,30 represent the vendor 2 observed resistances,which are assumed to be normally and independently distributed withmean 105 ohms and standard deviation of 2.0 ohms. What is thesampling distribution of X1 X2? What is the standard errorof X1 X2?