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Alcoa is making long aluminum rods for the frame of airplanes for the Boeing Company. The current process produces these rods, which need to pass

Alcoa is making long aluminum rods for the frame of airplanes for the Boeing Company. The current process produces these rods, which need to pass a tensile strength test. Alcoa collected 6 observations every two hours in the first shift. The X-bar's and range are given below:

Sample Number

OBS. 1

OBS. 2

OBS. 3

OBS. 4

OBS. 5

OBS. 6

Mean

Range

1

37.00

37.50

38.50

40.00

39.00

42.00

39.00

5.00

2

38.00

37.00

41.50

39.00

38.50

37.00

38.50

4.50

3

38.50

42.50

41.50

42.00

42.50

42.00

41.50

4.00

4

37.00

42.50

41.00

42.50

42.00

41.00

41.00

4.50

Determine the control limits for the X-chart and the R-chart.

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