In a clinical trial, 2J patients suffering from an illness will be randomly assigned to one of two groups so that J will receive an experimental treatment and J will receive the best available treatment. The random variable X is the response of a patient to the experimental medicine, and the random variable B is the response of a patient to the best currently available treatment. The null hypothesis to be tested is that Ho: E(X) - E(B) = 0 against the alternative hypothesis H1 : E(X) - E(B) > 0 at the 0.005 level of significance. Under the null hypothesis both X and B are normally distributed with Ox = Op = 200. a. What is the number J in each group that would have to be taken so that the probability of a Type II error for the test of the null hypothesis specified in the common section is 0.01 when E (X) - E(B) = 50 and ox = 300 and op = 200. This part is worth 45 points. b. What is the total number of subjects for this clinical trial? This part is worth 5 points