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 first child are recorded. Data are shown below: 32 28 29 24 30 28 34 27 24 33 26 34 33 36 35 34 22 26 25 28 33 32 33 30 34 29 28 25 32 25 37 28 29 24 27 28 26 34 31 31 28 23 32 25 26 26 26 25 33 27 27 27 28 36 By using Microsoft Excel please answer following questions: a. What are the mean of the sample (x) (5 marks) b. What are the standard deviation of the sample (s) (10 marks) c. What is the hypothesis that can be drawn from this research? (10 marks) d. What is the confidence interval for 95% level of confidence? (10 marks) e. At a = 0.05, does the evidence refute the sociologist's assertion? (15 marks)