Case Study 2: UFE Clubs Case Study, (10 marks) UFE Clubs produces ball bearings. The diameter of the ball bearings is very important for the quality purposes. The following tables shows the diameters of 17 randomly selected samples in centimetres. Each sample contains four observations. Use control charts and run tests to see whether or not the process is under control. For run test z = 1. Sample 1 2 3 4 Observation 1 31.22 31.67 27.83 31.48 28.27 28.23 24.58 28.16 28.21 32.15 23.91 Observation 2 24.01 32.43 25.37 28.02 30.99 24.44 26.89 29.47 5 6 7 8 Observation 3 31.75 29.78 26.49 30.21 28.62 32.56 27.11 22.32 32.88 24.84 29.29 29.31 31.81 29.23 24.56 23.36 31.19 Observation 4 22.49 27.54 25.83 31.86 25.46 32.41 32.36 30.78 24.69 31.29 22.32 26.36 26.56 32.29 25.51 25 9 10 29 29.18 24.65 11 12 29.23 13 14 23.20 23.54 30.64 31.87 29.33 27.02 15 31.11 26.94 32.48 23.36 23.05 16 17 28.44 Important note: For ALL calculation use Three decimal points Please note that for assignment 1 you need to submit just one file. You can submit your assignment in Word or Excel. You can copy and paste screenshots from Excel into the Word document. Brief explanation is required on what you have done for each question. To calculate standard deviation, you must use the method discussed in the lecture 5 (see the slides Week 5)