{"uid":"cap_XrcK3FJC7rfMJ8wwwXIY6","slug":"numora-confidence-interval-calculator-19247d26","name":"Numora Confidence Interval Calculator","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://numormo.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_ttbPJla7kYCVYXer-BVYE","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 statistical confidence intervals for a dataset at a specified confidence level (e.g., 95%)","exampleAgentPrompt":"Calculate a 95% confidence interval for this dataset: [12.4, 13.1, 11.8, 14.2, 12.9, 13.5, 11.6, 12.7] — I need to know the margin of error around the mean.","exampleUseCases":[{"title":"Survey result margin of error","prompt":"I ran a survey and got these satisfaction scores: [72, 85, 90, 68, 77, 83, 91, 74, 88, 79]. Can you calculate a 95% confidence interval so I know the margin of error on my average score?"},{"title":"Lab measurement uncertainty","prompt":"Here are 8 repeated measurements from my experiment: [5.12, 5.09, 5.14, 5.11, 5.13, 5.10, 5.15, 5.08]. Compute a 99% confidence interval so I understand the uncertainty range around the true value."},{"title":"A/B test conversion rate analysis","prompt":"My A/B test produced these daily conversion counts: [0.034, 0.041, 0.038, 0.036, 0.043, 0.039]. Give me a 90% confidence interval so I can tell whether the variation is statistically meaningful."}],"resultDescription":"Returns a JSON object with a 'result' containing the computed confidence interval (lower and upper bounds), margin of error, sample mean, and possibly standard error or degrees of freedom; plus a 'computation' string describing what was calculated in plain English, and a 'success' boolean.","failureModes":["Empty or missing 'data' array returns a validation error","Data array with fewer than 2 elements may cause division-by-zero or insufficient degrees of freedom","Invalid confidence level (outside 0–1 range or missing) may default to 0.95 or return an error","Non-numeric values in the data array will likely cause a computation failure","Server-side errors return success: false with an error message"],"whenToPreferThis":"Choose this endpoint when you need a pure-math, server-side confidence interval computation with no external data dependencies — ideal for agents that have already collected numeric samples and need a fast, reliable statistical interval without setting up a local math library. Particularly suited for micropayment-gated pipelines using x402 on Base. Prefer alternatives if you need confidence intervals for proportions (binomial), survival analysis, or Bayesian credible intervals.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:49:08.095Z","isFirstParty":false}