Hello! Please I would highly appreciate it if someone can solve these 3 questions. Thank you!

9. Subgroups of size n=5 are taken from a process. After 40 such subgroups, i=140Ri=930 and i=140Xi=3,000. The maximum and minimum values of Ri are 45 and 3 , respectively. The maximum and minimum values of X2 are 86.8 and 63.0, respectively. (a) Based on all that you know, is the process in control? Why or why not? Problem 2 (Chanter 8. Problem \#10) 10. An in-control process has X=200 and R=46.52 using subgroups of size n=5. (a) What are the X30 values which indicate the natural variability of the process? (b) If you would like to have specs at least 5a from the center of the process, where should they be? Problem 3 (Chapter 8, Problem \#11) 11. Consider a process which, when in control, has X=500 and =25. (a) Determine the X and R control chart limits if n=4. (b) Determine the X and R control chart limits if n=9. (c) Determine the X and R control chart limits if n=2. (d) Suppose that a shift in process centering occurred from X=500 to 530 . Which subgroup size above yields an X chart that is best capable of detecting the shift? Why? What is the major disadvantage of using that sample size