Question: 2. Consider the below data for x_bar and R values for 24 samples of size n=5 taken from a process. The measurements are made such

2. Consider the below data for x_bar and R values for 24 samples of size n=5 taken from a process. The measurements are made such that, only the last three decimals were recorded (i.e., 34.5 should be 0.50345) Sample Number x bar 70 x bar R Sample Number 13 8 6 5 7 4 2 3 4 5 6 7 8 9 10 11 12 34.5 34.2 31.6 31.5 35.0 34.1 32.6 33.8 34.8 33.6 31.9 38.6 3 4 4 4 5 6 4 3 7 8 3 9 15 16 17 18 19 20 21 22 23 24 35.4 34.0 37.1 34.9 33.5 31.7 34.0 35.1 33.7 32.8 33.5 34.2 8 4 2 3 2 a) Set up x_bar and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the control limits and perform necessary steps accordingly. (15 points) 2 b) If specifications on this diameter are 0.5030 +- 0.0020, find the percentage of nonconforming bearings produced by this process. Assume that diameter is normally distributed. (10 points)

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