A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed system. the following data give the numbers of defective parts produced. Use a = .05 to test for any significant effect due to machine, loading system, and interaction. for the numbers in the table machine 1: manual is 30 and 34 and automatic is 30 and 26. Machine 2: manual is 20 and 22 and automatic is 24 and 28