The Mechanism · Gated-generation receipt

gen-define-quality-control-sampling-and-give-one-short-worked-ex-cd6e

stable pending witness
2026-05-29 06:24:32 UTC · anthropic/claude-sonnet-4-5

Prompt

Define quality control sampling and give one short worked example.
66 chars

Generation

# Quality Control Sampling **Definition:** Quality control sampling is a statistical method where a subset (sample) of items from a larger batch or lot is inspected to make decisions about the quality of the entire batch. Instead of inspecting every item (100% inspection), a predetermined number of items are randomly selected and tested against quality standards. ## Short Worked Example **Scenario:** A factory receives a shipment of 5,000 bolts. **Sampling Plan:** - Sample size: 100 bolts (randomly selected) - Acceptance criterion: Accept the lot if ≤ 2 defective bolts are found **Results:** - Inspected: 100 bolts - Defectives found: 1 bolt **Decision:** Since 1 defective ≤ 2 (acceptance number), **ACCEPT the entire lot of 5,000 bolts**. --- **Key Point:** Rather than checking all 5,000 bolts (costly and time-consuming), inspecting just 100 bolts provides a statistically valid basis for deciding whether the shipment meets quality standards. If 3 or more defects had been found, the entire lot would be rejected or subject to 100% inspection.
18 tokens in · 278 tokens out · 6986 ms · $0.0042

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
6993.5 ms
Base LLM
6986.0 ms
Verifiers
0.7 ms
Gates
0.1 ms
Cost
$0.0042

Trail

06:24:32 received prompt_chars=66 verifiers=['scripture_anchors', 'theology_doctrine']
06:24:32 red_gate decision=pass reason=no disqualifying input patterns detected
06:24:39 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=18 tokens_out=278 latency_ms=6986.0 cost_usd=0.0042
06:24:39 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:24:39 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:24:39 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:24:39 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:24:39 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:24:39 signed hash_algo=sha256 hash=sha256:9aa1eb78c5ec658e187798fa71a459c82db3f267d096018b79e6771b966dca10

Content hash

sha256:9aa1eb78c5ec658e187798fa71a459c82db3f267d096018b79e6771b966dca10

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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