{"uid":"cap_pJdZsXPt3mxq6-8H7wftE","slug":"numora-statistics-confidence-interval-computation-bc62f818","name":"Numora Statistics Confidence Interval Computation","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numorapoi.orbonomy.xyz/api/statistics/confidence","method":"POST","headers":{},"bodySchema":{"type":"object","required":["data"],"properties":{"data":{"type":"array"},"level":{"type":"number","description":"Confidence level (e.g., 0.95)"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.03/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.03","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.03","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_jCasLlJB9O3qvCw6vTJV4","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.03","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes confidence intervals for a dataset at a specified confidence level (e.g., 95%)","exampleAgentPrompt":"Calculate the 95% confidence interval for this dataset: [12.3, 14.1, 13.7, 15.2, 11.9, 14.8, 13.4, 12.6, 15.0, 13.9] — I need to know the range that captures the true mean.","exampleUseCases":null,"resultDescription":"Returns a JSON object with success=true, a result object containing the computed confidence interval bounds (lower and upper), margin of error, sample mean, and standard error, plus a human-readable 'computation' string describing what was calculated.","failureModes":["Empty or missing data array returns a validation error","Non-numeric values in the data array cause a computation failure","Confidence level outside valid range (0,1) returns an invalid parameter error","Array too small (e.g., n=1) may cause undefined standard error","Payment not provided or incorrect USDC amount returns 402 Payment Required"],"whenToPreferThis":"Use this endpoint when you need a pure-math, dependency-free confidence interval computation with no external data sources required. Ideal for AI agents that need to run statistical inference on numeric samples inline, pay per call via USDC micropayments, and get back a clean structured result with a human-readable description. Prefer over general-purpose code execution when you want a reliable, pre-built statistical function without spinning up a compute environment.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T18:48:37.602Z","isFirstParty":false}