The Mechanism · Gated-generation receipt

gen-define-sampling-bias-and-give-one-short-worked-example-35e9

stable pending witness
2026-05-29 03:37:46 UTC · anthropic/claude-sonnet-4-5

Prompt

Define sampling bias and give one short worked example.
55 chars

Generation

# Sampling Bias **Sampling bias** occurs when some members of a population are systematically more likely to be selected for a sample than others, resulting in a sample that doesn't accurately represent the entire population. ## Short Worked Example **Scenario:** A university wants to assess student satisfaction with campus facilities, so they conduct an online survey and email it to all students. **The bias:** Only 15% of students respond—primarily those with strong opinions (very satisfied or very dissatisfied) and those who regularly check university emails. **The problem:** - Students who are moderately satisfied don't bother responding - Off-campus students who rarely use facilities are underrepresented - Students without reliable internet access can't participate **Result:** The survey results don't represent the true satisfaction levels of the entire student body. The university might overestimate problems (if complainers respond more) or miss issues affecting underrepresented groups entirely. **Better approach:** Use stratified random sampling, selecting students from different groups (year, residence, major) and following up with non-responders to increase participation.
17 tokens in · 242 tokens out · 6723 ms · $0.0037

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
6733.1 ms
Base LLM
6722.8 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0037

Trail

03:37:46 received prompt_chars=55 verifiers=['scripture_anchors', 'theology_doctrine']
03:37:46 red_gate decision=pass reason=no disqualifying input patterns detected
03:37:53 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=17 tokens_out=242 latency_ms=6722.8 cost_usd=0.0037
03:37:53 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:37:53 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:37:53 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:37:53 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:37:53 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:37:53 signed hash_algo=sha256 hash=sha256:716eba3de56f8efb8eee1266661bc173850a527a598997641f579a2182775779

Content hash

sha256:716eba3de56f8efb8eee1266661bc173850a527a598997641f579a2182775779

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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