The Mechanism · Gated-generation receipt

gen-explain-a-confidence-interval-as-you-would-to-a-capable-stud-6d83

stable pending witness
2026-05-29 04:51:14 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain a confidence interval as you would to a capable student, in 3-4 sentences.
82 chars

Generation

A confidence interval gives you a range of plausible values for a population parameter (like a mean or proportion) based on your sample data. For example, a 95% confidence interval means that if you repeated your study many times, about 95% of the intervals you calculate would contain the true population value. The interval is wider when you have more uncertainty (smaller sample size or more variable data) and narrower when you have more precise estimates. It's important to remember that the specific interval you calculate either contains the true value or it doesn't—the 95% refers to the long-run success rate of the method, not the probability for your particular interval.
28 tokens in · 140 tokens out · 4457 ms · $0.0022

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
4465.9 ms
Base LLM
4457.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

04:51:14 received prompt_chars=82 verifiers=['scripture_anchors', 'theology_doctrine']
04:51:14 red_gate decision=pass reason=no disqualifying input patterns detected
04:51:18 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=140 latency_ms=4457.5 cost_usd=0.0022
04:51:18 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:51:18 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:51:18 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:51:18 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:51:18 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:51:18 signed hash_algo=sha256 hash=sha256:01ce305ebcd90b16100eeec34385c0e647728c76781e2bcb5b08ead7d451eed5

Content hash

sha256:01ce305ebcd90b16100eeec34385c0e647728c76781e2bcb5b08ead7d451eed5

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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