1. Suppose you are testing H0: N(55, 64) vs. H1 N(45, 49), with α = .05. Your test will be one draw x from one of these two populations. What is your critical boundary for x (not the one for the z score of x)? For what values of x would you reject H0? if You standardize H0 to N(0, 1). What is H1? What is β? What is the probability of a Type I error?
2.Suppose you are testing H0: N(3, 2) vs. H1 N(2, 2) where, α = .05, x = 2.2, and n = 14 (variance known). What is the value of the appropriate test statistic? Also, use the table to estimate the p-value to the closest value available.