Problem Two. Consider a testing environment where you are performing multiple testing. You are going to look at 2 different outcome variables for the test: Y11 and Y21. Suppose you also are testing five different potential treatments: T1LT2T 3T 4TSi a) Argue briefly that for individual i if T11=T21=T31=T41 =Ts1 = 0 then they are in the control group. b) Suppose there are no overlaps between treatment. If i gets one of the five treatments, they will not receive any of the other four. Argue that this means, for all i, that T11+ T2+T31+ T41 + T51 1. c) How many distinct treatment groups are there? d) Given what you found from part c) above and the fact that there are two outcome variables, how many distinct tests are being performed?