1. A clinician claims that, on average, the blood pressure ofhypertensive patients is 150. A particular doctor believes theamount is more than 150. Then he selected a random sample of 100patients and found that the sample have average of 155 withstandard deviation of 10. Conduct the test at the 0.05 ofsignificance. a) Hypotheses HO: vs. HA a) Test statistic b) P-valuec) Conclusion d) What is the power of the test conditions toidentify a significant difference if the population mean wasactually 152 at ?=0.05 (two sided)? e) How large a sample is neededfor a one-sample z test with 80% power and ? = 0.05 (two-tailed)when ? = 10?