You want to analyze the effect of different anti-viral medications ("anti-virals") on recovery from a virus-borne illness. Subjects testing positive for the disease are randomly assigned to take one of a number of these anti-virals. You wish to determine whether these medications all give rise to the same mean time to recovery from the viral illness or whether at least one of the drugs gives rise to a mean recovery time that is different from at least one of the others.What is a general statistical method or approach that at least in principle could be used to potentially accomplish this analysis? How would you set it up as a hypothesis test? If you were to be given the relevant dataset(s), explain (with reasonable detail and specificity) how you could perform such a test in R and produce a corresponding result. (Please note however that you are NOT actually being give the datasets here, so just explain what you would do without actually doing it.)