Stable but off-center: 125 sash widths yield Cp 1.20 and Cpk 0.84 in this MT475 Unit 5 capability study, which recommends re-centering the welder before buying tighter equipment. Searches like "mt 475 unit 5 assignment example", "mt475 unit 5 sample" and "mt475 unit 5 example" land here.
What a finished MT475 Unit 5 process capability study looks like
Five pages covering stability, the capability indices, a predicted defect rate and a recommendation. The data are 25 subgroups of five welded sashes, specification 27.500 inches plus or minus 0.0625. X-bar and R limits, 27.4954 to 27.5420 for means and 0.0853 for ranges, show no signals, so capability can be assessed. The grand mean is 27.5187 and the average range 0.0404, giving a within-subgroup sigma of 0.01735 through d2 of 2.326. Cp works out to 1.20 and Cpk to 0.84, limited by the upper side. Pp and Ppk, from the overall standard deviation, come to 1.14 and 0.80. A normal-curve calculation predicts about 5,800 parts per million above the upper limit, roughly 1,850 sashes a year. Re-centered on target, Cpk would equal Cp at 1.20, and predicted rejects fall to about 320 per million.
How a MT475 Unit 5 example is structured
Stability comes first, because capability indices describe a predictable process and mean nothing for an unstable one. The control charts are shown briefly, since the previous unit covered their method, and the study moves on once they pass. Both indices are then calculated with formulas printed and a script's output beside them. The reading separates the two: Cp compares tolerance to spread and ignores location, while Cpk measures distance to the nearer limit, so the gap between 1.20 and 0.84 is entirely a centering problem. Pp and Ppk are reported as a check, their closeness to Cp and Cpk confirming little drift between subgroups. The predicted defect rate turns indices into sashes a manager can count. Two remedies are compared: adjusting the welder's offset, which costs almost nothing and reaches 1.20, or buying equipment to reduce spread, needed only to pass 1.33.
Stable before capable
No mean or range falls outside its limits across 25 subgroups. Only after that check does the study calculate any index, and it states why the order cannot be reversed.
Spread fits, location does not
Cp of 1.20 says the process could fit the tolerance; Cpk of 0.84 says it currently does not. The whole difference comes from a mean sitting 0.0187 inches above target.
Within and overall
Pp and Ppk, calculated from the overall standard deviation, land at 1.14 and 0.80. Their nearness to Cp and Cpk shows little shifting between subgroups, which supports the stability verdict.
Indices turned into sashes
A normal-curve estimate puts about 5,800 per million over the upper limit, near 1,850 sashes a year. Counting parts gives the index a meaning a plant manager can budget against.
Re-center first
Moving the weld offset costs an afternoon and lifts Cpk to 1.20. Reaching 1.33 would require cutting sigma to about 0.0156, a larger project the study defers until centering is proven.
Where marks go in MT475 Unit 5
Sequence and interpretation carry most of an MT475 capability study's credit. Calculating Cp and Cpk for a process never shown to be stable is the error instructors flag most readily, because the indices assume predictability. Confusing specification limits with control limits, or using one in place of the other in a formula, invalidates the result. Graders expect the difference between Cp and Cpk to be explained, not just reported: a gap between them means the process is off-center, and the remedy differs from reducing spread. Using the wrong sigma, overall where within-subgroup was asked or the reverse, is a frequent slip. Studies earn credit when indices are translated into expected defects and when recommendations follow from which index fell short. A bare verdict of capable or not capable leaves most of the analysis undone.
Get a MT475 Unit 5 example written to your instructions
Send the measurements and subgroup structure from your Unit 5 prompt, the specification limits and the rubric. A composite study comes back that confirms stability first, computes Cp, Cpk and, where asked, Pp and Ppk by script, predicts the defect rate and recommends the fix the indices point to. The opening custom sample is free, in 24-48h.
MT475 Unit 5 questions, answered
How do Cp and Cpk differ?
Cp compares the width of the specification to the spread of the process and ignores where the process is centered. Cpk uses the distance from the process mean to the nearer specification limit, so it falls when the process drifts off center. When Cp is acceptable and Cpk is not, re-centering is usually the cheaper fix.
What Cpk value counts as capable?
Many textbooks and customers use 1.33 as a common minimum, with higher targets such as 1.67 for critical characteristics, and 1.0 as the point where the process just fits. Your course's threshold and any figure named in the case take precedence. State the benchmark you are using, since capable has no meaning without one.
Can capability be calculated from individual measurements?
Yes, though the method changes. Without subgroups, within-process sigma is usually estimated from the average moving range divided by 1.128, and the data should first pass an individuals chart for stability. Your prompt's data structure decides the method, and saying which sigma estimate you used lets a grader check the calculation.