Thirteen mice, all with advanced stage of Leukemia, were selected to find out whether a new serum would arrest the disease. Seven mice received the treatment and 6 did not. Survival times, in years, from the time the experiment commenced are as follows:

With Treatment	2.1	5.3	1.4	4.6	0.9	5.0	5.8
Without Treatment	1.9	0.5	2.8	3.1	4.6	2.5

Answer the questions below using Python code, please display code in answer. For each question, give justifications to your answer.

1. Can the serum be said to be effective at 0.05 level of significance?

2. Can the same conclusion as in (a) be drawn at 0.01 level of significance?
3. Describe how confidence interval can be used to arrive at the same conclusion as in (a) and (b).