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Questions
Questions

MGS*3100*01.2025FA Test 01: MGS3100

Single choice

The defect rate for a product has historically been about 2.0%. What are the upper and lower control chart limits if you wish to use a sample size of 100 and 3-sigma limits? All answers are in (LCL,UCL) format.

Options
A.(0.00, 0.062)
B.(0.00, 0.059)
C.(0.00, 0.048)
D.(0.00, 0.067)
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Standard Answer
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Approach Analysis
We’re dealing with a p-chart style calculation for a defect rate, using the historical proportion p0 = 0.02 and a sample size n = 100 with 3-sigma limits. First, compute the standard error term: sqrt[p0(1 - p0) / n] = sqrt[0.02 * 0.98 / 100] = sqrt[0.0196 / 100] = sqrt[0.000196] ≈ 0.0140. Then, multiply by 3 to obt......Login to view full explanation

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