Question: Sample Observation X (mean) R (Range) No. 1 2 3 1 2.76 2.72 2.77 2.750 0.050 2 2.67 2.72 2.72 2.703 0.050 3 2.81 2.75

Sample

Observation

X (mean)

R (Range)

No.

1

2

3

1

2.76

2.72

2.77

2.750

0.050

2

2.67

2.72

2.72

2.703

0.050

3

2.81

2.75

2.75

2.770

0.060

4

2.76

2.86

2.86

2.827

0.100

5

2.76

2.76

2.76

2.760

0.000

6

2.86

2.86

2.86

2.860

0.000

7

2.78

2.75

2.75

2.760

0.030

The standard deviation of the above 21 observations is 0.0553 ml.

1) What is the CPk? [Note that X-Double bar is also the overall average; mean of all 21 observations.]

Round to 4 decimal places.

2) Determine the upper control limit for (X-Bar) Control Chart.

Round to 4 decimal places.

3) Using the D3 value, determine the lower control limit for Range (R) control chart.

4) Using the D4 value, determine the upper control limit for Range (R) control chart.

Round to 4 decimal places.

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