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Questions
MGS*3100*01.2025FA Test 01: MGS3100
Single choice
Construct a 3-sigma R-chart for the length in centimeters of a part from the following table. What is the upper control limit of your R-chart? Sample # Observation 1 Observation 2 Observation 3 Observation 4 1 0.486 0.499 0.493 0.511 2 0.499 0.506 0.516 0.494 3 0.496 0.5 0.515 0.488 4 0.495 0.506 0.483 0.487 5 0.472 0.502 0.526 0.469 6 0.473 0.495 0.507 0.493 7 0.495 0.512 0.49 0.471 8 0.525 0.501 0.498 0.474 9 0.497 0.501 0.517 0.506 10 0.495 0.505 0.516 0.511
Options
A.2.28
B..032
C.0.73
D.0.51
View Explanation
Standard Answer
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Approach Analysis
To determine the upper control limit (UCL) for an R-chart with samples of size n = 4, we first compute the moving ranges within each sample and then average them to get R-bar.
Option-by-option analysis:
Option 1: 2.28
- This value is the common D4 constant for an R-chart with n = 4, not the UCL itself. The UCL is computed as D4 times R-bar, so unless R-bar happened to be 1.0 (which is not the case here), the UCL will not equal D4 itself. In practice, you multiply 2.282 by R-bar, ......Login to view full explanationLog in for full answers
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