Problem 10.16 Consider a study comparing two medications for severe bladder infections. The variable a: is the length of time (in days) to recovery. For the n] = 15 patients who were given medication 1, we observed a mean recovery time of f1 = 16.87 days. The mean recovery time was E2 : 19.09 days for the n; : 18 patients who were given medication 2. Assume that both populations of recovery times are normally distributed with equal variances. (b) Based on the following R output? compute the value of the pooled standard deviation 8,). > t .test (x1 , x2 , var . equal=TRUE) Two Sample t-test data: x1 and x2 t = 5.174, df = 31, pvalue = 1 304e05 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: 3.105940 1.349615 sample estimates: mean of x mean of y 16.86667 19.09444 MAT 2379, Introduction to Biostatistics, Assignment 4 3 (c) Based on the R output in (b), give a 95% condence interval for difference between the mean recovery time on medication 1 and the mean recovery time on medication 2. (d) Based on the condence interval from (c), which medication is best