A shirt manufacturer buys cloth by the 100 yard roll from a supplier. For settin

Question

A shirt manufacturer buys cloth by the 100 yard roll from a supplier. For setting up a control chart to manage the irregularities (e.g., loose threads and tears) the following data was collected from a sample provided by the supplier. 12 3456789 10 SAMPLE IRREGULARITIES a. Determine the SO, UCL and LCL for a c-chart with z = 2. (Leave no cells blank be certain to enter "o" wherever required. Round your answers to 2 decimal places.) Sp UCL LCL b. Suppose the next five rolls from the supplier had two, four, four, three, and seven irregularities. Is the supplier process under control? O No

Explanation / Answer

Average number of defects is 44/10 = 4.4. So,

´c= 4.4

Therefore, sp= ?´c= ?4.4= 2.09

UCL = ´c+ z(?´c) = 4.4 + 2(2.09) = 8.58

LCL = ´c? z(?´c) = 4.4 – 2(2.09) = 0.22

According to the calculations, and plotting chart

Yes, The process is in a state of a statistical control

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