Twelvesamples, each containing fiveparts, were taken from a process that produces steel rods at EmmanualKodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The resultswere:

Sample

Sample Mean(in.)

Range(in.)

Sample

Sample Mean(in.)

Range(in.)

1

12.802

0.044

7

12.803

0.021

2

12.802

0.051

8

12.803

0.058

3

12.791

0.042

9

12.793

0.039

4

12.806

0.037

10

12.801

0.038

5

12.799

0.048

11

12.803

0.054

6

12.797

0.053

12

12.806

0.061

For the givendata, the x = 12.8005 inches (round your response to four decimalplaces).

Based on the samplingdone, the control limits for 3-sigma x chartare:

Upper Control Limit (UCLx) = 12.8267 inches (round your response to four decimalplaces).

Lower Control Limit (LCLx) = 12.7742 inches (round your response to four decimalplaces).

Based on the x-chart, is one or more samples beyond the controllimits?

No.

For the givendata, the R = 0.0455 inches (round your response to four decimalplaces).

The control limits for the 3-sigmaR-chart are:

Upper Control Limit (UCLR) = ______inches (round your response to four decimalplaces)