consumer agency wanted to find out if the mean time it takes for each of three brands of medicines to provide relief from a headache is the same. The first drug was administered to six randomly...

consumer agency wanted to find out if the mean time it takes for each of three brands
of medicines to provide relief from a headache is the same. The first drug was
administered to six randomly selected patients, the second to four randomly selected
patients, the third to five randomly selected patients. Table 4 gives the time (in minutes)
taken by each patient to get relief from a headache after taking the medicine. Compute
the appropriate test using 5% significant level.
TABLE 4
Drug 1 Drug 2 Drug 3
25 15 44
38 21 39
42 19 54
65 25 58
47 73
52
At 2.5% significance level, will you conclude that the mean time taken to provide relief from a
headache is the same for each of the three drugs?