To find out whether a new serum will arrest leukemia, 10 mice,all with an advanced stage of the disease, are selected. Five micereceive the treatment and 5 do not. Survival times, in years, fromthe time the experiment commenced are as follows:
Treatment: 2.1 5.3 1.4 4.6 0.9
No Treatment: 1.9 0.5 2.8 3.1 2.7
Using the above data , the true average lifetime of mice with notreatment is more than 3 months smaller than it is for the micewith treatment? Assume the two populations to be normallydistributed with equal variability.