Control Chart | X-bar Chart

Feb 3rd, 2012
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California Institute of Technology
Course: operations management
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1. Ten samples of size four were taken from a process, and their weights measured. The sample averages and sample ranges are in the following table. Construct and plot an x-bar and R-chart using this data. Based on your graph, is the process in control?

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1 Ten samples of size four were taken from a process, and their weights measured. The sample averages and sample ranges are in the following table. Construct and plot an x-bar and R-chart using this data. Based on your graph, is the process in control?From excel sheet we haveGrand mean = 20.024Rbar = 0.524Control Limits for X-bar chartUCL= CL + A2Rbar CL= grand mean LCL= CL - A2Rbar Where CL is central limit which is equal to Grand mean A2 is constant dependent on sample sizeFor sample of size 4 A2 = 0.729UCL = 20.024 + 0.729*0.524 = 20.4059CL = 20.024LCL= 20.024

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