2. A researcher wants to test H : 6= 0 versus H a : 6' = 1, where 6' is a parameter of a population of interest. The statistic W, based on a random sample of the population, is used to test the hypothesis. Suppose that under H , W has a normal distribution with mean 0 and variance 1, and under Ha , W has a normal distribution with mean 4 and variance 1. If H E, is rejected when W \"I? 1.5, then what are the probabilities of type I and type 1] error