## Fujiyama Electronics Inc. Case StudyPosted by Winnie Melda on January 30th, 2019 - Calculations of X-bar-bar
From the above table X-bar-bar is - Calculations of control limits for x-chart are the same as calculations of average. It follows the following process:
UCL (x-bar-bar +A2)*R-bar where: X-bar-bar = 5.10 A2 = 0.10 R-bar = 1.10 Therefore: UCL is (5.10+0.10)*1.1
- LCL follows the same formula but with a different sign as follows
(X-bar-bar +A2)*R-bar (5.10-0.1)*1.1
UCL is calculated as D4*R-bar where 1.70*1.10 = 1.87. On the same note UCL is D3*R-bar where 0.5*1.10 = 0.55 The following are the Average and range control
The average is condensed and not sparsely distributed
X-bar-bar new data is 5.02 while R-bar is 1.01. Therefore; Control Limits for X-chart is: New UCL will be (5.02+0.17)*1.01 = 5.25 New LCL will be (5.02-0.17)*1.01 = 4.90
New UCL is D4*R-bar where 1.57*1.01=1.59 New LCL is D3*R-bar where 0.43*1.01= 0.43
Both charts are almost similar due to the distribution of range within similar spaces
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