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发表于 2023-10-26 08:48:59
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The control limits for a defects per unit chart with n=5 and central line at 2.0 using probabilities of 0.975 and 0.025 can be calculated as follows:
Upper Control Limit (UCL) = CL + A2 * sqrt(CL/n)
Lower Control Limit (LCL) = CL - A2 * sqrt(CL/n)
where CL is the central line, A2 is the control chart factor for n=5 and probabilities of 0.975 and 0.025, and sqrt is the square root function.
From statistical tables, we can find that A2=0.577 for n=5 and probabilities of 0.975 and 0.025.
Substituting the values into the formulas, we get:
UCL = 2.0 + 0.577 * sqrt(2.0/5) ≈ 3.24
LCL = 2.0 - 0.577 * sqrt(2.0/5) ≈ 0.76
Therefore, the correct position of the upper and lower control limits when n=5 is option a. 3.24, 0.76. |
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发表于 2023-10-25 21:16:11
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