kindly answer shortly

(d) Let X = {Xi,Xz. .... Xm) be a random sample from a N(j, 1) distribution. Consider a test of Ho : ( =4.0 vs. H1 : = 3.0 that rejects Ho if the sample mean is less than 3.5. i. Calculate the size of the test, expressing your answer in terms of & (ie. the standard normal cumulative distribution function). ii. Calculate the power of the test, expressing your answer in terms of 4. iil. Calculate the probability of a Type II error, expressing your answer in terms of p