{"uid":"cap_XnVERV8MfoseEA8JPDZwo","slug":"numora-confidence-interval-computation-e711b7e7","name":"Numora 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://numomo.vercel.app/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":"registry","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":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_QPvnuko3B4bY9AWtS4sOa","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the confidence interval for a dataset at a specified confidence level (e.g., 95%)","exampleAgentPrompt":"Calculate the 95% confidence interval for this dataset: [12.4, 15.2, 13.8, 14.1, 16.0, 13.5, 14.9, 15.7, 12.9, 14.3].","exampleUseCases":[{"title":"Survey margin of error calculation","prompt":"I ran a survey and got these satisfaction scores: [7, 8, 6, 9, 7, 8, 5, 9, 8, 7, 6, 8]. Can you compute the 95% confidence interval so I know the margin of error?"},{"title":"Clinical trial measurement uncertainty","prompt":"Here are the blood pressure readings from my study participants: [120, 135, 128, 142, 119, 131, 126, 138, 122, 130]. Calculate the 99% confidence interval for the true mean blood pressure."},{"title":"A/B test result reliability check","prompt":"My A/B test produced these conversion rates across sessions: [0.042, 0.038, 0.051, 0.044, 0.039, 0.047, 0.041, 0.050]. What's the 90% confidence interval so I can tell if the result is statistically reliable?"}],"resultDescription":"Returns a JSON object with success flag, a result object containing confidence interval bounds (lower and upper limits), margin of error, sample statistics (mean, standard deviation, sample size), and a human-readable computation string describing what was calculated.","failureModes":["Empty or missing data array returns validation error","Confidence level outside valid range (0-1) returns error","Non-numeric values in data array cause computation failure","Single-element array may return undefined interval or error","Malformed request body returns 400 error"],"whenToPreferThis":"Choose this endpoint when you need a fast, serverless, dependency-free confidence interval calculation on a numeric dataset without integrating a full statistical library. Ideal for AI agents that need on-the-fly statistical validation of sample data, A/B test results, or measurement sets. Prefer this over rolling your own math or calling a general-purpose compute engine when you want a clean, structured JSON result with human-readable explanation. Not suitable if you need Bayesian credible intervals or require visualization outputs.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T18:53:02.005Z","isFirstParty":false}