Question: 5. Recent medical research indicates that skin cancer patients who receive a new medication live longer than those who do not. The average length of life prior to the development of this medication was 18 months. That is the claim is that the patients live 18 months or less without the new treatment. Can we conclude that the patients who receive the new medication live longer than i.e. greater than 18 months. Show all steps for the test of hypothesis using significant level 0.05.

Here is the complete set of data available for the test of hypothesis.