Question 7 Consider the control chart shown here. Does the pattern appear random

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Question 7

Consider the control chart shown here. Does the pattern appear random?

Would the use of warning limits reveal any potential out-of-control conditions?

Apply the Western Electric rules to the control chart in Exercise 5.17. Are any of the criteria for declaring the process out of control satisfied?

UCL Center line LCL 2 4 6 8 10 12 14 16 18 20 TABLE 5.1 Some Sensitizing Rules for Shewhart Control Charts Standard Action Signal: . One or more points outside of the control limits 2. Two of three consecutive points outside the two-sigma warning limits b inside the Western Electric Rules control limits 3. Four of five consecutive points beyond the one-sigma limits 4. A run of eight consecutive points on one side of the center line 5. Six points in a row steadily increasing or decreasing 6. Fifteen points in a row in zone C (both above and below the center line) 7. Fourteen points in a row alternating up and down 8. Eight points in a row on both sides of the center line with none in zone C 9. An unusual or nonrandom pattern in the data 10. One or more points near a warning or control limit

Explanation / Answer

In the given control chart all the points falll within the upper control limit (UCL) and Lower control limit(LCL) with random pattern.

applying the western electric rules there are one point each near a warning or contol limit suggests a standard action signal .

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