Let X be a measurement of a patient's blood pressure, which follows the normal distribution with = 5 mmHg center 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 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.