A new drug designed for treatment of hormose secretion probless is linted on laboratory pats with hormone secretion problems. The scientists are concerned that although many of the secretion problems were solved using the drug, there is an undesirable additional outcome of the wright of the laboratory nats changing after the sew drug is tested on them. The weights before the treatment ace believed to be Noemally distributed with mean pi. The weights after the treatment ane also believed so be Normally distributed but with a possibly different moan pe. We whils estimate the difference pe -\mu _(1)- A random sample of the weights of 100 rats before the treatment was obtained, and the mean of these 100 weights was \bar{x} _(1)=504.5g, while the standard deviation was 3_(1)=100g. A random sample of the weights of 30 different rats after the treatment was also obtained. and the mean of these 30 wrights was hat(x)_(7)=539.1 g. while the standard devialies was s_(2)=90 gram.
What is the lowest value the dif could ever take?
128
29
99
100