please show work so I understand how to do it! thank you!

Problem 1 Dr. Lancet wants to reduce the wait times in her office. Seven random observations of times spent between arrival and exam were made over a period of 17 days. a. Develop the appropriate chart(s) and determine whether the process is in control b. If patient surveys indicate that they are willing to wait between 5 and 30 minutes before seeing Dr. Lancet, is the process capable? Assume a process standard deviation of 2 minutes. Observations Day 1 1 2 3 4 5 6 7 29 29 22 31 29 31 26 2 24 29 40 26 36 30 24 28 33 25 26 28 33 25 4 26 31 38 30 23 28 32 5 36 29 24 29 26 32 26 6 26 32 25 30 29 25 27 33 7 22 30 31 37 34 27 8 40 29 26 29 32 30 24 9 32 32 21 34 28 29 23 10 34 26 35 31 26 29 27 30 11 35 30 29 31 27 31 12 38 35 37 35 30 32 29 13 35 29 30 25 28 30 31 14 22 29 26 30 36 28 27 15 26 26 34 34 25 36 32 16 29 26 20 31 32 33 28 17 28 30 34 28 31 30 27