To estimate the average age of a breast cancer patient, a random sample of 17 patients were selected from a large database. It was found that the point estimate is 65 years old with a sample standard deviation of 9.5 years. What is the statistical decision at the 5% level of significance of the following:
1) One- tail hypothesis, testing the claim that the true mean age is 67?
2) one- tail hypothesis, testing the claim that the true mean age is 68?