Quality and Reliability · Quality Management · 2 marks · Numerical answer
A broach produces key slots of mean size 10.56 mm and standard deviation 0.05 mm. For sample size five, find the X-bar chart upper control limit (two decimals mm).
The standard deviation of a sample mean is $\sigma/\sqrt n$. The three-sigma upper limit is $10.56+3(0.05)/\sqrt5=10.62708$ mm, rounding to **10.63 mm**.
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