Let Yij be independent normal(mi, 1) random variables where i = 1,2 and j= 1,...,n. Calculate by simulation the probability |Y1bar-Y2bar|>1 when:

(a) m1=m2=0 and n=10

(b) m1=m2=2 and n=10

(c) m1=0, m2=1 and n=10

(d) m1=-1, m2=1 and n=10

simulation should be done with sas or r programming.