QUESTION-1 Consider the following past data. Fill in the blank cells with any numbers between 115xs15. Indicate which values you selected on your answer sheet. a) Calculate the trial control limits for X & Ror X&S control charts. b) Are the control limits you calculated in (a) action control limits? c) Estimate the population mean and variance. d) Calculate the upper and lower natural tolarence limits. e) If the specification limits are 12+3, what is the nonconforming percentage? Sample no 1 2 3 4 Values in the sample X1 X2 X3 X4 X5 10 12 11 10 12 10 13 11 10 13 12 10 12 15 14 16 15 9 10 11 10 9 14 12 12 11 13 12 11 13 12 14 17 15 16 14 11 8 9 11 10 13 11 10 11 5 6 7 8 9 10