I. A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have their first child is 28.6 years. A random sample of 54 women is selected, and their ages at the birth of their rst child are recorded. Data are shown below: 32 28 29 24 28 34 3D 27 24 33 34 36 26 33 35 34 22 25 26 28 33 32 30 29 33 34 23 25 25 37 32 28 29 24 28 34 27 26 31 31 23 25 28 32 26 26 25 27 26 33 27 27 28 36 By using Microsoft Excel please answer following questions: a. b. What are the mean of the sample (it) (5 marks) What are the standard deviation of the sample (5) ( 10 marks) What is the hypothesis that can be drawn from this research? (10 marks) What is the condence interval for 95% level of condence? (10 marks) At a = 0.05, does the evidence refute the sociologist's assertion? (15 marks)