A textile manufacturer wants to set up a control chart for irregularities (e.g.,

Question

A textile manufacturer wants to set up a control chart for irregularities (e.g., oil stains, shop soil, loose threads, and tears) per 100 square yards of carpet. The following data were collected from a sample of twenty 100-square-yard pieces of carpet: Sample IrregularitiesSample Irregularities Sample Irregularities Sample Irregularities 15 15 17 6 7 8 10 10 12 10 12 15 12 13 14 15 17 18 19 20 2 17 16 15 10 a. Using these data, set up a c-chart with z-3 The UCLc equals 21.24 and the LCLc equals 1.16. (Enter your responses rounded to two decimal places.) b. Suppose that the next five samples had 18, 16, 15, 10, and 20 irregularities. What do you conclude? 0 A. All of the sample points are within the control limits, so the process is in control B. At least one of the sample points is outside the control limits, so the process is not in control ° C. At least one of the sample points is greater than the lower control limit, so the process is not in control 0 D. At least one of the sample points is less than the lower control limit, so the process is not in control O E. All of the sample points are within the control limits, so the process is not in control ° F. At least one of the sample points is less than the upper control limit, so the process is not in control

Explanation / Answer

Answer to question b :

For the process to be in control , all the sample points must be within Upper and lower control limit i.e. must be within 1.16 – 21.24 range

The given sample points are 18.16.15.10.20 are all within the range 1.16 – 21.24

Therefore , it can be concluded that the process is in control

ANSWER : A ) ALL OF THE SAMPLE POINTS ARE WITHIN CONTORL LIMITS, SO THE PROCESS IS IN CONTROL

ANSWER : A ) ALL OF THE SAMPLE POINTS ARE WITHIN CONTORL LIMITS, SO THE PROCESS IS IN CONTROL

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