The Mechanism · Gated-generation receipt

gen-briefly-explain-quality-control-sampling-and-one-common-misc-0260

hold
2026-05-29 02:39:34 UTC · anthropic/claude-sonnet-4-5

Prompt

Briefly explain quality control sampling and one common misconception about it.
79 chars

Generation

# Quality Control Sampling **Quality control sampling** is the practice of inspecting a subset of items from a larger batch or production run to make inferences about the overall quality, rather than checking every single item. This approach saves time and money while still providing useful information about defect rates and process performance. ## Common Misconception **"A larger sample is always better, regardless of population size"** Many people believe you need to sample a fixed percentage of your population (like 10%), but in reality, **the absolute sample size matters more than the percentage** for large populations. For example, to achieve the same statistical confidence: - A population of 1,000 might need ~280 samples (28%) - A population of 100,000 might need ~380 samples (0.38%) - A population of 1,000,000 might need ~384 samples (0.038%) This is why national polls can survey just 1,000-2,000 people out of millions and still provide reliable results. Beyond a certain point, increasing the population size requires only minimal increases in sample size to maintain the same level of precision.
21 tokens in · 253 tokens out · 7112 ms · $0.0039

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['regardless of']
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
7119.2 ms
Base LLM
7111.8 ms
Verifiers
0.4 ms
Gates
0.1 ms
Cost
$0.0039

Trail

02:39:34 received prompt_chars=79 verifiers=['scripture_anchors', 'theology_doctrine']
02:39:34 red_gate decision=pass reason=no disqualifying input patterns detected
02:39:41 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=21 tokens_out=253 latency_ms=7111.8 cost_usd=0.0039
02:39:41 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:39:41 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:39:41 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:39:41 way_gate decision=wait reason=output contains coercion language: ['regardless of']
02:39:41 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:39:41 signed hash_algo=sha256 hash=sha256:aacd2ec055123970f80d2313c8f00564d98afc424ddf92ec4355da4c011c17fa

Content hash

sha256:aacd2ec055123970f80d2313c8f00564d98afc424ddf92ec4355da4c011c17fa

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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