The Mechanism · Gated-generation receipt

gen-state-the-standard-error-precisely-and-explain-why-it-matter-0c68

stable pending witness
2026-05-29 06:40:35 UTC · anthropic/claude-sonnet-4-5

Prompt

State the standard error precisely and explain why it matters in 2-3 sentences.
79 chars

Generation

# Standard Error **Definition:** The standard error (SE) is the standard deviation of a sampling distribution of a statistic, calculated as SE = σ/√n, where σ is the population standard deviation and n is the sample size. **Why it matters:** The standard error quantifies the uncertainty in using a sample statistic to estimate a population parameter—smaller standard errors indicate more precise estimates. It is essential for constructing confidence intervals and conducting hypothesis tests, as it determines how much we expect sample statistics to vary from the true population value due to random sampling.
25 tokens in · 121 tokens out · 9162 ms · $0.0019

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
9168.7 ms
Base LLM
9162.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0019

Trail

06:40:35 received prompt_chars=79 verifiers=['scripture_anchors', 'theology_doctrine']
06:40:35 red_gate decision=pass reason=no disqualifying input patterns detected
06:40:44 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=121 latency_ms=9162.0 cost_usd=0.0019
06:40:44 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:40:44 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:40:44 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:40:44 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:40:44 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:40:44 signed hash_algo=sha256 hash=sha256:e4fe0293294b030c7e4a5f683f2a85a2bf2c5836457104c385a16333cb261862

Content hash

sha256:e4fe0293294b030c7e4a5f683f2a85a2bf2c5836457104c385a16333cb261862

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.

Bring another teaching · Run a discernment