Question: 1. The sample mean and ranges for 20 samples, each of size n = 11, from a manufacturing process are provided below. Sample Range Mean

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1. The sample mean and ranges for 20 samples, each of size

The sample mean and ranges for 20 samples, each of size n = 11, from a manufacturing process are provided below. Sample Range Mean Sample Range Mean 2.581 19.524 11 0.840 20.437 2 2.681 22.718 12 1.823 19.266 3 2.682 20.838 13 0.794 20.484 4 1.728 19.979 14 1.016 19.211 5 2.389 22.836 15 1.695 20.328 6 1.348 21.057 16 2.180 19.064 7 2.955 22.642 17 1.810 21.315 8 1.480 20.121 18 2.225 20.225 9 1.654 19.980 19 2.632 20.110 10 2.008 22.624 20 4.482 21.250 Download CSV Table of Control Chart Constants Report answers accurate to 3 decimal places. Do not round intermediate results. a) The lower and upper control limits for the R-chart are: LOL = UCL = Does it appear that the process range is out of control? O Yes. There is no point outside the control limits. O No. There is no point outside the control limits. O No. There is at least one point outside the control limits. O Yes. There is at least one point outside the control limits. b) The lower and upper control limits for the -chart are: LCL = UCL = Does it appear that the process mean is out of control? O Yes. There is no point outside the control limits. O No. There is at least one point outside the control limits. O Yes. There is at least one point outside the control limits. O No. There is no point outside the control limits

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