{"uid":"cap_tB9s-PoHfi6t_EshKBnlk","slug":"numora-hypothesis-testing-69eac4ca","name":"Numora Hypothesis Testing","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/hypothesis","method":"POST","headers":{},"bodySchema":{"type":"object","required":["data"],"properties":{"data":{"type":"array"},"params":{"type":"object","description":"Test parameters (mu, alpha, etc.)"}}},"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_Nlm1X5guSmrLZ6fAqk931","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":"Performs statistical hypothesis tests on numeric data arrays, returning test statistics, p-values, and conclusions","exampleAgentPrompt":"Run a one-sample hypothesis test on this dataset [12.3, 14.1, 13.8, 15.2, 11.9, 14.7] to see if the mean is significantly different from 13.0, using a significance level of 0.05.","exampleUseCases":[{"title":"A/B test significance check","prompt":"I ran an experiment and got these conversion counts: [42, 37, 45, 39, 41, 38, 44]. Can you test whether the mean is significantly different from the expected baseline of 40, using alpha = 0.05?"},{"title":"Quality control mean deviation","prompt":"These are the weights in grams of sampled products from our factory today: [499.8, 500.3, 499.5, 500.1, 498.9, 500.7]. Test whether the process mean has drifted from the target of 500g at the 0.01 significance level."},{"title":"Clinical trial outcome testing","prompt":"Here are the pain reduction scores from our trial participants: [3.2, 4.1, 3.8, 5.0, 4.4, 3.6, 4.7]. Test if the average reduction is significantly greater than 3.5 using a 0.05 significance threshold."}],"resultDescription":"Returns a JSON object with success=true, a result object containing the test statistic, p-value, whether the null hypothesis is rejected, and degrees of freedom or other relevant statistical measures, plus a human-readable 'computation' string describing what was computed and what it means.","failureModes":["Empty or missing data array returns validation error","Data array with fewer than 2 elements may cause test to fail","Invalid params object (non-numeric mu or alpha outside 0-1) returns error","Alpha not specified defaults to 0.05 or may cause unexpected behavior","Non-numeric values in data array cause computation failure","Payment failure via x402 returns 402 status before computation begins"],"whenToPreferThis":"Choose this endpoint when you need serverless, dependency-free statistical hypothesis testing without spinning up a Python/R environment. Ideal for agents that need quick, pure-math significance testing on numeric arrays with micropayment billing. Best for one-sample tests against a known population parameter; if you need two-sample tests or ANOVA, check other Numora endpoints.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:04:54.033Z","isFirstParty":false}