{"uid":"cap_C6ItGlUAUTMuauwhU-RpT","slug":"numora-statistics-confidence-interval-computation-88774724","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://numormor.netlify.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":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"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_WG65MbswExqKq-YSFDsuQ","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes a confidence interval for a given dataset at a specified confidence level (e.g., 95%)","exampleAgentPrompt":"Calculate the 95% confidence interval for this dataset: [12.3, 14.5, 11.8, 13.2, 15.0, 12.7, 14.1, 13.6, 11.5, 14.8] — give me the interval bounds and margin of error.","exampleUseCases":[{"title":"Survey results statistical validation","prompt":"I've got responses from 150 survey participants with an average satisfaction score of 7.2 out of 10. Can you calculate the 95% confidence interval for that score so I can report the range to my team?"},{"title":"Quality control measurement uncertainty","prompt":"Our production line took 20 sample measurements of widget thickness: [10.2, 10.15, 10.18, 10.22, 10.19, 10.16, 10.21, 10.17, 10.20, 10.18, 10.23, 10.14, 10.19, 10.21, 10.15, 10.20, 10.18, 10.22, 10.17, 10.19]. What's the 99% confidence interval and margin of error so we know our tolerance range?"},{"title":"Clinical trial efficacy bounds","prompt":"We measured patient recovery times in days for our treatment group: [14, 16, 13, 15, 14, 17, 15, 14, 16, 15, 13, 14, 16, 15]. Compute the 90% confidence interval so we can include it in our research findings."}],"resultDescription":"Returns a JSON object with a 'result' containing the computed confidence interval bounds (lower and upper), margin of error, and related statistics, plus a 'computation' string describing what was calculated and 'success' confirming the operation completed.","failureModes":["Empty or missing 'data' array returns validation error","Non-numeric values in data array cause computation failure","Confidence level outside 0–1 range (e.g., 1.5 or -0.1) returns error","Single-element array may produce undefined or degenerate interval","Payment not provided or insufficient USDC results in 402 response"],"whenToPreferThis":"Choose this endpoint when you need pure server-side confidence interval computation with no external data dependencies, especially in automated pipelines where x402 micropayment billing per call is acceptable and statistical correctness on raw numeric arrays is the priority.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T18:40:29.122Z","isFirstParty":false}