Please provide complete solutions to the following problems. Explain your work in detail and justify the use of the statistic in each case. You may start with a non-directional test and then do a directional test if applicable. 1. Problems 64 and 72 in Supplementary Exercises presented at the end of Chapter 9. 2. Problems 41 and 44 in Supplementary Exercises presented at the end of Chapter 10. In problem 41 you may assume that the distribution of data is normal. 3. Problem 27 in Supplementary Exercises presented at the end of Chapter 11.