1. Let X measure a patient's blood pressure, which follows the normal distribution with = 5 mmHg centered around the true blood pressure. Let the null hypothesis be that the patient's blood pressure is = 120, and the alternative hypothesis H1 : > 120 with significance level = 0.05? Suppose that the patient's blood pressure is measured to be 135 mmHg.

(a) Is it a one-sided or two-sided test? Identify and explain your rationale.

(b) Calculate the p-value.

(c) Calculate the critical value and find the rejection region.

(d) Draw a conclusion.