A certain product is manufactured to meet specifications of 36 cm + 0.05 cm and is inspected in subgroups of four. The sampling scheme involves taking one measurement each from four different operators. The following data are the results of 20 consecutive samples.

b. Estimate the percentage of points that the process will produce outside the specification limits.
c. The following data represent an additional 20 samples from this process. Plot the points on the control chart constructed in part a and comment on whether the control status has changed.

e. What action should be taken concerning this process?

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Operator Sample 2 4 1 35.95936.047 36.001 36.000 2 36.008 35.998 35.968 35.990 3 36.031 35.958 35.968 35.993 36.002 36.001 36.037 35.990 5 35.996 36.02836.044 36.014 6 35.996 36.033 35.993 36.037 7 36.042 36.009 35.989 36.012 36.037 36.074 35.962 35.980 35.978 36.008 36.02435.953 36.023 35.982 36.02935.990 11 36.020 35.994 36.001 35.987 12 35.992 36.027 35.992 36.019 13 35.984 35.93035.976 35.991 36.05435.988 35.99236.001 15 35.996 35.993 36.005 35.974 36.024 35.948 35.95735.973 17 36.017 35.968 35.97236.014 35.988 36.025 35.98936.026 35.99836.017 36.038 35.987 36.044 35.969 35.976 35.981 10 14 16 18 19 20 Xand R Operator Sample 3 36.030 36.035 36.027 36.044 36.051 36.07735.99536.045 35.987 36.018 36.017 36.016 36.046 36 35.988 36.021 36.060 36.035 36.010 36.010 36.031 36.033 35.989 36.013 35 36.033 36.02236.056 36.051 36.048 36.025 36.031 36.032 36.046 36 36.015 35.985 36.013 36.026 36.019 35.999 36.06536.031 36.013 36.034 36. 35.990 36.007 36.033 36.057 36.027 36.012 36.019 36.056 36.050 36.054 35 36.025 36.024 36.054 36.014 36.008 36.065 24 36.020 35 35.987 36.027 36.032 36.031 26 35.997 31 32 35 064 36.009 35.99536.046 35.960 36.028 39 35.992 Xand R