Assume that data are in a random sample of size n from a normal n(µ, 1) distribution with unknown µ. the null hypothesis is always h0 : µ = 0. the first step for each problem is to find the sampling distribution of the sample mean x¯.suppose the alternative is that µa > 0. you are going to use the sample mean ¯x as the test statistics. you plan to conduct the test by rejecting h0 if ¯x is sufficiently large, i. e. ¯x > x0 for some x0, and you have already decided that you will reject always the null hypothesis if the p-value of the test is < 0.05. 1 2 use r to compute x0 as a function of n for n = 5, 10, 20, 50, 100. the interval [x0, [infinity]) is called the rejection region.