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Control charts-Example

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A local children's boutique specializes in formal wear for young girls. It has recently hired a new seamstress. To assure the dresses have standard sizes, twenty samples of each 12 dresses that were labeled 3T were sampled. The average length from shoulder to hemline measured 21 inches with a range of 0.5 inches. A sample has just been taken with the following lengths: 21.25, 22.0, 21.5, 20.75, 21.25, 21.35, 21.35, 21.35, 21.35, 21.35, 21.35, and 21.35. Is the new seamstress performing at an acceptable quality level?

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Solution Summary

The solution illustrates the use of control charts to verify the process in control.

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Control Charts: Example Problem

Control charts are graphs that show upper and lower limits for a process an organization wants to control, depicting a graphic presentation of data over time. A control chart can indicate a process is out of control by showing the target line, and plotting actual performance against the line (Render, Stair & Hanna, 2011). When the data falls within the upper and lower control limits and no discernable pattern is present, then the process is in control. If data falls outside of the upper or lower control limit, then process is out of control. Should data plots be near control limit there would also be a need to investigate the situation to determine the cause. In general, the goal is to have the data plots to be as close to the target as possible. Patterns, trends, or erratic behavior causing plots to veer toward the upper of lower limits are cause for concern and should be investigated. A process may be out of control due to machine failure, broken parts, untrained or poor workers, or extenuating circumstances.

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