A company that traditionally made rulers and yardsticks is setting up a manufacturing process to make metersticks. Obviously, accuracy is important for their new product. The company runs a 24-hour production process. Using a calibration set of data they found:

They took a sample of 3 metersticks each hour and recorded the results in the following table.

a)€‚Create an X chart based on the calibration data statistics for these 24 hourly samples.
b)€‚Create an R chart based on the calibration data statistics for these 24 hourly samples.
c)€‚Assuming that the process was in control during the calibration period, is the company€™s process for making accurate meter sticks out of control?

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= 1.000 0.0016 Hour 1 Hour 2 Hour 3 Hour 4 Sample 1 Sample2 Sample3 1.0007 1.0011 0.9995 1.0016 0.9994 0.9996 0.9983 1.0010 1.0002 1.0004 1.0014 0.9990 1.0014 0.9997 1.0007 1.0008 0.9984 Hour 6 Hour 7 Hour 8 Hour 9 Hour 10 0.9998 Hour 11 Hour 12 Hour 130.9998 Hour 141.0000 Hour 15 1.0005 Hour 16 Hour 17 0.9993 Hour 18 1.0020 Hour 191.0007 Hour 20 1.0009 Hour 21 Hour 22 1.0019 Hour 23 1.0011 Hour 240.9993 1.0002 1.0008 1.0002 1.0002 0.9993 0.9992 1.0006 0.9994 0.9995 1.0003 0.9985 1.0003 1.0013 0.9994 0.9999 1.0018 0.9994 1.0000 1.0005 1.0016 1.0010 0.9993 0.9978 0.9991 0.9999 1.0021 0.9996 0.9993 1.0001 1.0002 0.9998 1.0003 1.0010