Medical researchers are interested in which of two drugs are effective in treating chronic headaches. One set of five patients suffering from headaches received drug A for one month; another set of four patients received Drug B. The number of pain-free days experienced by each patient is recorded in the table below: Pain-Free Days Drug 1 2 3 4 5 Mean Variance A 22 30 18 15 19 20.8 32.7 B 17 14 11 7 12.25 18.25 A bootstrap simulation was performed in which 1000 data sets of size 9 were regenerated from the original data, and split into two groups of size 5 and 4 respectively. The resultant differences in means (B - A) from the two groups were sorted from smallest to largest. A summary of the differences observed at various positions in the sorted list are given as follows: Position: 1 5 10 50 100 Value: -14.0 -11.4 -10.2 -7.1 -5.6 Position: 900 950 990 995 1000 Value: 5.3 7.1 10.2 11.0 15.7(3) Use the bootstrapped data to estimate the p-value for the test of differences between the means. (b) Use the bootstrapped data to construct a 99% confidence interval for the difference between the means