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x control chart控制图问题请教

Xbar chart
Data plotted xi
Center line The center line represents the process average. The default chart usesXbarbar to estimate m.
Lower control limit The lower control limit (LCL) is the horizontal reference line drawn a specified number of standard deviations below the center line. The formula is:μ-kσ/ni0.5where:ni = size of the ith subgroupk = number of standard deviations from the center line Minitab uses to draw the line. By default, k =3.m =Xbarbars depends on the method you choose to estimate the standard deviation. For a single X chart, an X and R chart, and an X and S chart, the pooled standard deviation is used by default.
Upper control limit The upper control limit (UCL) is the horizontal reference line drawn a specified number of standard deviations above the center line. The formula is:μ+kσ/ni**0.5where:ni = size of the ith subgroupk = number of standard deviations from the center line Minitab uses to draw the line. By default, k =3.m = Xbarbar s depends on the method you choose to estimate the standard deviation. For a single X chart, an X and R chart, and an X and S chart, the pooled standard deviation is used by default.
上述摘自MINITAB14的帮助文件-METHODS AND FORMULAS
1----minitab中xbar控制图的上控制线为什么不是μ+3σ,下控制线为什么不是μ-3σ,而分别是μ+kσ/ni0.5和μ-kσ/ni0.5
2---minitab中bloodsugar(xbar-s)案例的上下控制线按找上述公司计算时也有误差?为什么?我发现xbar-R的案例也有这个问题。
哪为专家能解答?

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我不是大哥 (威望:10) (四川 成都) 汽车制造相关 工程师

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虽然我从来不用minitab,但是我能猜出来你第一个问题想问的意思。
其实两个公式是一样的,根据中心极限定理即可知。两个公式里面的两个sigma的符号一样,其实含义不一样的。

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herculeswhlee
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