uestion 5 $2022 X 1H5 H HH HH HH HH HH HH HH HH HH HH HH HH HH HH HH HH HH HH HH HH HH HH HH 5 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 Ho, both X and B are normally distributed with ox = OB = 600. 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) = 800, ox = 900, and OB = 600. This part is worth 45 points. b . What is the total number of subjects for this clinical trial? This part is worth 5 points. Question 6