NO EXCEL PLEASE. NEED it in WRITING NO EXCEL PLEASE. NEED it in WRITING Problems
ID: 353054 • Letter: N
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NO EXCEL PLEASE. NEED it in WRITING
NO EXCEL PLEASE. NEED it in WRITING
Problems 1. Consider the following con rol chart Center line LCL 13579 13 15 17 19 21 23 25 FIGURE 5.12 An control chart. Sample number a. Does the pattern appear random? Explain. (3 pts.) b. Apply the sitizin e sensitizing rules for Shewhart control charts. Are any of the criteria for out of control satisfied? If so, which ones? (5 pts.) declaring the process c. Wh at is your conclusion regarding the state of control of the process? (2 pts.)Explanation / Answer
Considering the following Mean(X bar) Shewhart Control Chart:
a) The process appears random as we can observe that changes appear not be fixed but random. For example, in the beginning, there is a small spike above the center line and next it drops big below the center line towards LCL. Then there is a large spike above center line but next there is a spike below center line consecutively, followed by a small spike above center line followed by a larger spike which nearly touches the UCL, followed by a drop below center line. All these indicate the pattern is random.
b) On applying the sensitizing rules:
i) 8 or 9 points on the same side of the center line: indicates a small shift
ii) 2 out of 3 consecutive points are more than 2 sigmas from the center line in the same direction: indicates a medium shift
iii) 4 out of 5 consective points are more than 1 sigma from center line in same direction: indicates a small shift
c) To check the state of control of the process, we need to look at both the Highest and Lowest points of the process in comparison to UCL(Upper Control Line) and LCL(Lower Control Line). On observing, we can see it is a comparatively stable process, except that it comes close to instability at sample number 24. But the process peaks and troughs remain within the UCL and LCL otherwise most of the time, making the process a fairly stable process.
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