For each of the following tests, identify the Rejection Region in terms of X. a) Let X be a Normal random variable with a standard deviation of a = 1.5. A random sample of 30 observations is collected. The following hypotheses are being tested at a = 0.05. HO: = 10 HA: 10 b) Let X be a Normal random variable with a standard deviation of a = 5. A random sample of 10 observations is collected. The following hypotheses are being tested at a = 0.05. HO: 40 HA: u < 40 c) For the test described in (a), calculate the probability of a Type Il error if the true mean is 10.7.