Question

To find out whether a new serum will arrest leukemia, 10 mice, all with an advanced stage of the disease, are selected. Five mice receive the treatment and 5 do not. Survival times, in years, from the 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 no treatment is more than 3 months smaller than it is for the mice with treatment? Assume the two populations to be normally distributed with equal variability.

Answer 1

Let denote the  true average lifetime of mice with no treatment and with treatment respectively.

Conclusion : There is sufficient evidence to support the claim that the true average lifetime of mice with no treatment is more than 3 months smaller than it is for the mice with treatment