A manufacturer of glass panes received a new order from a customer to supply 18 millimeters thick glass planes with a tolerance of +/-2 millimeters. The manufacturer is concerned about the capability of the process to produce this glass. The following data were randomly collected during five shifts of the production process:

Assume that the process is in statistical control. Is the process capable of achieving six-sigma quality levels with regard to the thickness of the glass panes? Explain.

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Shift 1 2 3 4 5 OBSERVATION (Thickness of Glass Panes in Millimeters) 3 4 5 6 7 8 12 18.05 17.76 18.10 19.50 16.50 16.00 15.80 18.20 17.90 19.70 18.50 18.30 19.20 16.50 16.00 19.00 17.80 16.70 19.20 18.42 17.76 16.60 18.30 17.50 16.34 17.83 16.00 15.90 17.80 18.80 19.20 19.50 19.55 19.78 18.75 19.45 17.87 16.65 17.32 18.45