A sample of size 9 will be drawn from a normally distributed population, where this population is known to have a standard deviation of 4. A (fixed-level) hypothesis test for the population mean will then be performed with this data, testing H0 : = 5 versus H1 : 6= 5 at a 2% significance level. (a) What is the rejection region for this test, in terms of X? (b) Suppose we want the rejection region to contain the intervals [7, ) and (, 3]. How large do we need to make the sample to accomplish this (leaving every other aspect of the test the same)?