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Control Plan at Black Belt Level: Reaction Plans and Handoff

The control plan is the document that keeps the improvement alive after the project team leaves. It lists what will be measured, how, how often, by whom, and exactly what happens when a signal appears. At the Control tollgate, the Black Belt hands it to the process owner, who accepts responsibility for running it.

What the exam expects

Control plans and sustaining the gains sit in Control (VIII) of the 2022 CSSBB Body of Knowledge. Expect to know the columns of a control plan, link it to the FMEA and to SPC, choose a control method for a characteristic, write or judge a reaction plan, and explain what a clean handoff looks like.

Key concepts

Worked example: limits and control plan rows for a filling line

After Improve, the team collects 25 subgroups of n = 5 fill weights from the stable new process. Specification: 500 ± 5 g. Constants for n = 5: A2 = 0.577, D3 = 0, D4 = 2.114, d2 = 2.326.

X-double-bar = 500.4 g R-bar = 2.1 g UCL(X-bar) = 500.4 + 0.577 × 2.1 = 501.61 g LCL(X-bar) = 500.4 − 0.577 × 2.1 = 499.19 g UCL(R) = 2.114 × 2.1 = 4.44 g LCL(R) = 0 sigma-hat = R-bar / d2 = 2.1 / 2.326 = 0.903 g Cpk = min(505 − 500.4, 500.4 − 495) / (3 × 0.903) = 4.6 / 2.709 = 1.70

X-bar limits apply to subgroup averages, not single units, so never compare them directly with the specification. Individual fills at ±3 sigma-hat run from 497.7 to 503.1 g, inside 495 to 505 g, so a chart signal normally arrives before out-of-spec product is made.

Step / characteristicSpecMethod, sample, frequencyControlReaction plan (owner)
Filling / fill weight (Y)500 ± 5 gCalibrated balance with acceptable gage R&R; 5 consecutive units every hourX-bar and R chart, limits abovePoint beyond a limit or run rule: stop filler, hold product since last in-control subgroup, find and correct cause, verify next subgroup, record on chart (operator, supervisor notified)
Filling / nozzle temperature (X from DOE)62 ± 2 °CThermocouple, continuousAutomatic alarm and interlockLine stops automatically; maintenance checks heater; restart only after temperature verified in range (maintenance technician)
Capping / cap present and seatedSeated, no tiltVision system, 100%Automatic rejectRejects go to a locked bin; 3 rejects within 10 minutes: stop and inspect capping head (operator)
Labeling / lot codeMatches batch recordVisual check at start-up and every lot changeSigned checklistMismatch: quarantine labeled product since last check, relabel, second-person verification (line lead)

Notice the mix: the critical X gets an interlock rather than a chart, the Y gets SPC, and only the lowest-risk item relies on a manual check.

Common exam traps

Check yourself

  1. R-bar = 3.0 with n = 5: what is UCL for the R chart? (2.114 × 3.0 = 6.34.)
  2. Why hold product back to the last good check, not just the current unit? (The shift may have started any time after that check.)
  3. Which control is stronger: an SPC chart on the output or an interlock on the critical input? (The interlock: it acts on the cause automatically.)
  4. Who owns the control plan after the Control tollgate? (The process owner, not the Black Belt.)

Related: Control plan explained · Quality plan vs control plan · X-bar R vs X-bar S · Sustaining gains

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More: DMAIC overview · Project charter · VOC & CTQ · SIPOC · MSA in DMAIC · Process capability · Data collection planning · Graphical analysis · Root cause analysis · Multi-vari analysis · Hypothesis testing · Regression · DOE · FMEA · Define tollgate · Change management · Financial benefits · Team dynamics · Improve tollgate · Piloting & scaling · Poka-yoke (BB) · Solution selection · Control plan · SPC in DMAIC · Sustaining gains

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