{"uid":"cap_Hpq6_pJLOXigFipmlyqnH","slug":"dataforge-cpk-process-capability-calculator-a5184a64","name":"DataForge CPK Process Capability Calculator","description":"Low-cost statistical and analytical micro-APIs for agents and operations workflows.","url":"https://dataforge-production-ba33.up.railway.app/api/cpk?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"lsl":{"type":"number"},"usl":{"type":"number"},"mean":{"type":"number"},"sigma":{"type":"number"}}},"responseSchema":{"type":"json","example":{"cp":1.3333,"cpk":1.3333,"cpl":1.3333,"cpu":1.3333}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.005","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":"$0.005/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.005","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.005","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_-KVHItLSjDv9zY1ikbcES","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.005","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes process capability indices (Cp, Cpk, Cpl, Cpu) given a process mean, standard deviation, and specification limits","exampleAgentPrompt":"Calculate the process capability indices for a process with a mean of 10.0, standard deviation of 0.5, lower spec limit of 8.5, and upper spec limit of 11.5.","exampleUseCases":[{"title":"Manufacturing quality control check","prompt":"Our injection molding process has a mean diameter of 25.0 mm, sigma of 0.3 mm, LSL of 24.1 mm, and USL of 25.9 mm — what are the Cp and Cpk values?"},{"title":"Six Sigma process audit","prompt":"I need to check if our filling line is Six Sigma capable. The mean fill weight is 500g, sigma is 1.2g, LSL is 496g, and USL is 504g. Can you compute the capability indices?"},{"title":"Supplier process capability verification","prompt":"Our supplier claims their process is capable with mean 0.750 inches, sigma 0.005 inches, LSL 0.735 inches, USL 0.765 inches — can you calculate Cpk and confirm?"}],"resultDescription":"Returns a JSON object with four process capability indices: Cp (overall process spread vs. specification width), Cpk (process centering and capability), Cpl (capability relative to lower specification limit), and Cpu (capability relative to upper specification limit), all as decimal numbers.","failureModes":["Missing required fields (lsl, usl, mean, sigma) result in validation errors","sigma of 0 causes division-by-zero and an error response","USL less than or equal to LSL results in invalid specification range","Payment not included or insufficient USDC results in 402 Payment Required"],"whenToPreferThis":"Use this endpoint when you need a fast, low-cost programmatic computation of standard process capability indices (Cp/Cpk) without setting up a full statistical computing environment. Ideal for agents and automation pipelines that perform quality checks, supplier audits, or inline SPC monitoring at scale. Prefer this over manual calculation or heavy analytics platforms when you only need the standard four indices from summary statistics.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-14T21:40:22.186Z","isFirstParty":false,"canonicalSlug":"dataforge-cpk-process-capability-calculator-a5184a64"}