# Numora Confidence Interval Computation

> Numora Confidence Interval Computation is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

Computes the confidence interval for a dataset at a specified confidence level (e.g., 95%)

## Facts

- Endpoint: POST https://numomo.vercel.app/api/statistics/confidence
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-confidence-interval-computation-e711b7e7
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_XnVERV8MfoseEA8JPDZwo

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-confidence-interval-computation-e711b7e7 -d '<json body>'
```

Example prompt: 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].

## When to prefer this

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.

## Known failure modes

- 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

## How this service works

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.

## Output

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.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "data"
 ],
 "properties": {
  "data": {
   "type": "array"
  },
  "level": {
   "type": "number",
   "description": "Confidence level (e.g., 0.95)"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "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"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-confidence-interval-computation-e711b7e7/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)